diff DEPENDENCIES/generic/include/boost/graph/distributed/named_graph.hpp @ 16:2665513ce2d3

Add boost headers

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/DEPENDENCIES/generic/include/boost/graph/distributed/named_graph.hpp	Tue Aug 05 11:11:38 2014 +0100
@@ -0,0 +1,1239 @@
+// Copyright (C) 2007 Douglas Gregor 
+// Copyright (C) 2007 Hartmut Kaiser
+
+// Use, modification and distribution is subject to the Boost Software
+// License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+// TODO:
+//   - Cache (some) remote vertex names?
+#ifndef BOOST_GRAPH_DISTRIBUTED_NAMED_GRAPH_HPP
+#define BOOST_GRAPH_DISTRIBUTED_NAMED_GRAPH_HPP
+
+#ifndef BOOST_GRAPH_USE_MPI
+#error "Parallel BGL files should not be included unless <boost/graph/use_mpi.hpp> has been included"
+#endif
+
+#include <boost/assert.hpp>
+#include <boost/graph/named_graph.hpp>
+#include <boost/functional/hash.hpp>
+#include <boost/variant.hpp>
+#include <boost/graph/parallel/simple_trigger.hpp>
+#include <boost/graph/parallel/process_group.hpp>
+#include <boost/graph/parallel/detail/property_holders.hpp>
+
+namespace boost { namespace graph { namespace distributed {
+
+using boost::parallel::trigger_receive_context;
+using boost::detail::parallel::pair_with_property;
+
+/*******************************************************************
+ * Hashed distribution of named entities                           *
+ *******************************************************************/
+
+template<typename T>
+struct hashed_distribution
+{
+  template<typename ProcessGroup>
+  hashed_distribution(const ProcessGroup& pg, std::size_t /*num_vertices*/ = 0)
+    : n(num_processes(pg)) { }
+
+  int operator()(const T& value) const 
+  {
+    return hasher(value) % n;
+  }
+
+  std::size_t n;
+  hash<T> hasher;
+};
+
+/// Specialization for named graphs
+template <typename InDistribution, typename VertexProperty, typename VertexSize,
+          typename ProcessGroup,
+          typename ExtractName 
+            = typename internal_vertex_name<VertexProperty>::type>
+struct select_distribution
+{
+private:
+  /// The type used to name vertices in the graph
+  typedef typename remove_cv<
+            typename remove_reference<
+              typename ExtractName::result_type>::type>::type
+    vertex_name_type;
+
+public:
+  /**
+   *  The @c type field provides a distribution object that maps
+   *  vertex names to processors. The distribution object will be
+   *  constructed with the process group over which communication will
+   *  occur. The distribution object shall also be a function
+   *  object mapping from the type of the name to a processor number
+   *  in @c [0, @c p) (for @c p processors). By default, the mapping
+   *  function uses the @c boost::hash value of the name, modulo @c p.
+   */
+  typedef typename mpl::if_<is_same<InDistribution, defaultS>,
+                            hashed_distribution<vertex_name_type>,
+                            InDistribution>::type 
+    type;
+
+  /// for named graphs the default type is the same as the stored distribution 
+  /// type
+  typedef type default_type;
+};
+
+/// Specialization for non-named graphs
+template <typename InDistribution, typename VertexProperty, typename VertexSize,
+          typename ProcessGroup>
+struct select_distribution<InDistribution, VertexProperty, VertexSize, 
+                           ProcessGroup, void>
+{
+  /// the distribution type stored in the graph for non-named graphs should be
+  /// the variant_distribution type
+  typedef typename mpl::if_<is_same<InDistribution, defaultS>,
+                            boost::parallel::variant_distribution<ProcessGroup, 
+                                                                  VertexSize>,
+                            InDistribution>::type type;
+
+  /// default_type is used as the distribution functor for the
+  /// adjacency_list, it should be parallel::block by default
+  typedef typename mpl::if_<is_same<InDistribution, defaultS>,
+                            boost::parallel::block, type>::type
+    default_type;
+};
+
+
+/*******************************************************************
+ * Named graph mixin                                               *
+ *******************************************************************/
+
+/**
+ * named_graph is a mixin that provides names for the vertices of a
+ * graph, including a mapping from names to vertices. Graph types that
+ * may or may not be have vertex names (depending on the properties
+ * supplied by the user) should use maybe_named_graph.
+ *
+ * Template parameters:
+ *
+ *   Graph: the graph type that derives from named_graph
+ *
+ *   Vertex: the type of a vertex descriptor in Graph. Note: we cannot
+ *   use graph_traits here, because the Graph is not yet defined.
+ *
+ *   VertexProperty: the type of the property stored along with the
+ *   vertex.
+ *
+ *   ProcessGroup: the process group over which the distributed name
+ *   graph mixin will communicate.
+ */
+template<typename Graph, typename Vertex, typename Edge, typename Config>
+class named_graph
+{
+public:
+  /// Messages passed within the distributed named graph
+  enum message_kind {
+    /**
+     * Requests the addition of a vertex on a remote processor. The
+     * message data is a @c vertex_name_type.
+     */
+    msg_add_vertex_name,
+
+    /**
+     * Requests the addition of a vertex on a remote processor. The
+     * message data is a @c vertex_name_type. The remote processor
+     * will send back a @c msg_add_vertex_name_reply message
+     * containing the vertex descriptor.
+     */
+    msg_add_vertex_name_with_reply,
+
+    /**
+     * Requests the vertex descriptor corresponding to the given
+     * vertex name. The remote process will reply with a 
+     * @c msg_find_vertex_reply message containing the answer.
+     */
+    msg_find_vertex,
+
+    /**
+     * Requests the addition of an edge on a remote processor. The
+     * data stored in these messages is a @c pair<source, target>@,
+     * where @c source and @c target may be either names (of type @c
+     * vertex_name_type) or vertex descriptors, depending on what
+     * information we have locally.  
+     */
+    msg_add_edge_name_name,
+    msg_add_edge_vertex_name,
+    msg_add_edge_name_vertex,
+
+    /**
+     * These messages are identical to msg_add_edge_*_*, except that
+     * the process actually adding the edge will send back a @c
+     * pair<edge_descriptor,bool>
+     */
+    msg_add_edge_name_name_with_reply,
+    msg_add_edge_vertex_name_with_reply,
+    msg_add_edge_name_vertex_with_reply,
+
+    /**
+     * Requests the addition of an edge with a property on a remote
+     * processor. The data stored in these messages is a @c
+     * pair<vertex_property_type, pair<source, target>>@, where @c
+     * source and @c target may be either names (of type @c
+     * vertex_name_type) or vertex descriptors, depending on what
+     * information we have locally.
+     */
+    msg_add_edge_name_name_with_property,
+    msg_add_edge_vertex_name_with_property,
+    msg_add_edge_name_vertex_with_property,
+
+    /**
+     * These messages are identical to msg_add_edge_*_*_with_property,
+     * except that the process actually adding the edge will send back
+     * a @c pair<edge_descriptor,bool>.
+     */
+    msg_add_edge_name_name_with_reply_and_property,
+    msg_add_edge_vertex_name_with_reply_and_property,
+    msg_add_edge_name_vertex_with_reply_and_property
+  };
+
+  /// The vertex descriptor type
+  typedef Vertex vertex_descriptor;
+  
+  /// The edge descriptor type
+  typedef Edge edge_descriptor;
+
+  /// The vertex property type
+  typedef typename Config::vertex_property_type vertex_property_type;
+  
+  /// The vertex property type
+  typedef typename Config::edge_property_type edge_property_type;
+  
+  /// The type used to extract names from the property structure
+  typedef typename internal_vertex_name<vertex_property_type>::type
+    extract_name_type;
+
+  /// The type used to name vertices in the graph
+  typedef typename remove_cv<
+            typename remove_reference<
+              typename extract_name_type::result_type>::type>::type
+    vertex_name_type;
+
+  /// The type used to distribute named vertices in the graph
+  typedef typename Config::distribution_type distribution_type;
+  typedef typename Config::base_distribution_type base_distribution_type;
+
+  /// The type used for communication in the distributed structure
+  typedef typename Config::process_group_type process_group_type;
+
+  /// Type used to identify processes
+  typedef typename process_group_type::process_id_type process_id_type;
+
+  /// a reference to this class, which is used for disambiguation of the 
+  //  add_vertex function
+  typedef named_graph named_graph_type;
+  
+  /// Structure returned when adding a vertex by vertex name
+  struct lazy_add_vertex;
+  friend struct lazy_add_vertex;
+
+  /// Structure returned when adding an edge by vertex name
+  struct lazy_add_edge;
+  friend struct lazy_add_edge;
+
+  /// Structure returned when adding an edge by vertex name with a property
+  struct lazy_add_edge_with_property;
+  friend struct lazy_add_edge_with_property;
+
+  explicit named_graph(const process_group_type& pg);
+
+  named_graph(const process_group_type& pg, const base_distribution_type& distribution);
+
+  /// Set up triggers, but only for the BSP process group
+  void setup_triggers();
+
+  /// Retrieve the derived instance
+  Graph&       derived()       { return static_cast<Graph&>(*this); }
+  const Graph& derived() const { return static_cast<const Graph&>(*this); }
+
+  /// Retrieve the process group
+  process_group_type&       process_group()       { return process_group_; }
+  const process_group_type& process_group() const { return process_group_; }
+
+  // Retrieve the named distribution
+  distribution_type&       named_distribution()       { return distribution_; }
+  const distribution_type& named_distribution() const { return distribution_; }
+
+  /// Notify the named_graph that we have added the given vertex. This
+  /// is a no-op.
+  void added_vertex(Vertex) { }
+
+  /// Notify the named_graph that we are removing the given
+  /// vertex. This is a no-op.
+  template <typename VertexIterStability>
+  void removing_vertex(Vertex, VertexIterStability) { }
+
+  /// Notify the named_graph that we are clearing the graph
+  void clearing_graph() { }
+
+  /// Retrieve the owner of a given vertex based on the properties
+  /// associated with that vertex. This operation just returns the
+  /// number of the local processor, adding all vertices locally.
+  process_id_type owner_by_property(const vertex_property_type&);
+
+protected:
+  void 
+  handle_add_vertex_name(int source, int tag, const vertex_name_type& msg,
+                         trigger_receive_context);
+
+  vertex_descriptor 
+  handle_add_vertex_name_with_reply(int source, int tag, 
+                                    const vertex_name_type& msg,
+                                    trigger_receive_context);
+
+  boost::parallel::detail::untracked_pair<vertex_descriptor, bool>
+  handle_find_vertex(int source, int tag, const vertex_name_type& msg,
+                     trigger_receive_context);
+
+  template<typename U, typename V>
+  void handle_add_edge(int source, int tag, const boost::parallel::detail::untracked_pair<U, V>& msg,
+                       trigger_receive_context);
+
+  template<typename U, typename V>
+  boost::parallel::detail::untracked_pair<edge_descriptor, bool> 
+  handle_add_edge_with_reply(int source, int tag, const boost::parallel::detail::untracked_pair<U, V>& msg,
+                             trigger_receive_context);
+
+  template<typename U, typename V>
+  void 
+  handle_add_edge_with_property
+    (int source, int tag, 
+     const pair_with_property<U, V, edge_property_type>& msg,
+     trigger_receive_context);
+
+  template<typename U, typename V>
+  boost::parallel::detail::untracked_pair<edge_descriptor, bool> 
+  handle_add_edge_with_reply_and_property
+    (int source, int tag, 
+     const pair_with_property<U, V, edge_property_type>& msg,
+     trigger_receive_context);
+
+  /// The process group for this distributed data structure
+  process_group_type process_group_;
+
+  /// The distribution we will use to map names to processors
+  distribution_type distribution_;
+};
+
+/// Helper macro containing the template parameters of named_graph
+#define BGL_NAMED_GRAPH_PARAMS \
+  typename Graph, typename Vertex, typename Edge, typename Config
+/// Helper macro containing the named_graph<...> instantiation
+#define BGL_NAMED_GRAPH \
+  named_graph<Graph, Vertex, Edge, Config>
+
+/**
+ * Data structure returned from add_vertex that will "lazily" add the
+ * vertex, either when it is converted to a @c vertex_descriptor or
+ * when the most recent copy has been destroyed.
+ */
+template<BGL_NAMED_GRAPH_PARAMS>
+struct BGL_NAMED_GRAPH::lazy_add_vertex
+{
+  /// Construct a new lazyily-added vertex
+  lazy_add_vertex(named_graph& self, const vertex_name_type& name)
+    : self(self), name(name), committed(false) { }
+
+  /// Transfer responsibility for adding the vertex from the source of
+  /// the copy to the newly-constructed opbject.
+  lazy_add_vertex(const lazy_add_vertex& other)
+    : self(self), name(other.name), committed(other.committed)
+  {
+    other.committed = true;
+  }
+
+  /// If the vertex has not been added yet, add it
+  ~lazy_add_vertex();
+
+  /// Add the vertex and return its descriptor. This conversion can
+  /// only occur once, and only when this object is responsible for
+  /// creating the vertex.
+  operator vertex_descriptor() const { return commit(); }
+
+  /// Add the vertex and return its descriptor. This can only be
+  /// called once, and only when this object is responsible for
+  /// creating the vertex.
+  vertex_descriptor commit() const;
+
+protected:
+  named_graph&     self;
+  vertex_name_type name;
+  mutable bool     committed;
+};
+
+template<BGL_NAMED_GRAPH_PARAMS>
+BGL_NAMED_GRAPH::lazy_add_vertex::~lazy_add_vertex()
+{
+  typedef typename BGL_NAMED_GRAPH::process_id_type process_id_type;
+
+  /// If this vertex has already been created or will be created by
+  /// someone else, or if someone threw an exception, we will not
+  /// create the vertex now.
+  if (committed || std::uncaught_exception())
+    return;
+
+  committed = true;
+
+  process_id_type owner = self.named_distribution()(name);
+  if (owner == process_id(self.process_group()))
+    /// Add the vertex locally
+    add_vertex(self.derived().base().vertex_constructor(name), self.derived()); 
+  else
+    /// Ask the owner of the vertex to add a vertex with this name
+    send(self.process_group(), owner, msg_add_vertex_name, name);
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+typename BGL_NAMED_GRAPH::vertex_descriptor
+BGL_NAMED_GRAPH::lazy_add_vertex::commit() const
+{
+  typedef typename BGL_NAMED_GRAPH::process_id_type process_id_type;
+  BOOST_ASSERT (!committed);
+  committed = true;
+
+  process_id_type owner = self.named_distribution()(name);
+  if (owner == process_id(self.process_group()))
+    /// Add the vertex locally
+    return add_vertex(self.derived().base().vertex_constructor(name),
+                      self.derived()); 
+  else {
+    /// Ask the owner of the vertex to add a vertex with this name
+    vertex_descriptor result;
+    send_oob_with_reply(self.process_group(), owner, 
+                        msg_add_vertex_name_with_reply, name, result);
+    return result;
+  }
+}
+
+/**
+ * Data structure returned from add_edge that will "lazily" add the
+ * edge, either when it is converted to a @c
+ * pair<edge_descriptor,bool> or when the most recent copy has been
+ * destroyed.
+ */
+template<BGL_NAMED_GRAPH_PARAMS>
+struct BGL_NAMED_GRAPH::lazy_add_edge 
+{
+  /// The graph's edge descriptor
+  typedef typename graph_traits<Graph>::edge_descriptor edge_descriptor;
+
+  /// Add an edge for the edge (u, v) based on vertex names
+  lazy_add_edge(BGL_NAMED_GRAPH& self, 
+                const vertex_name_type& u_name,
+                const vertex_name_type& v_name) 
+    : self(self), u(u_name), v(v_name), committed(false) { }
+
+  /// Add an edge for the edge (u, v) based on a vertex descriptor and name
+  lazy_add_edge(BGL_NAMED_GRAPH& self,
+                vertex_descriptor u,
+                const vertex_name_type& v_name)
+    : self(self), u(u), v(v_name), committed(false) { }
+
+  /// Add an edge for the edge (u, v) based on a vertex name and descriptor
+  lazy_add_edge(BGL_NAMED_GRAPH& self,
+                const vertex_name_type& u_name,
+                vertex_descriptor v)
+    : self(self), u(u_name), v(v), committed(false) { }
+
+  /// Add an edge for the edge (u, v) based on vertex descriptors
+  lazy_add_edge(BGL_NAMED_GRAPH& self,
+                vertex_descriptor u,
+                vertex_descriptor v)
+    : self(self), u(u), v(v), committed(false) { }
+
+  /// Copy a lazy_add_edge structure, which transfers responsibility
+  /// for adding the edge to the newly-constructed object.
+  lazy_add_edge(const lazy_add_edge& other)
+    : self(other.self), u(other.u), v(other.v), committed(other.committed)
+  {
+    other.committed = true;
+  }
+
+  /// If the edge has not yet been added, add the edge but don't wait
+  /// for a reply.
+  ~lazy_add_edge();
+
+  /// Returns commit().
+  operator std::pair<edge_descriptor, bool>() const { return commit(); }
+
+  // Add the edge. This operation will block if a remote edge is
+  // being added.
+  std::pair<edge_descriptor, bool> commit() const;
+
+protected:
+  BGL_NAMED_GRAPH& self;
+  mutable variant<vertex_descriptor, vertex_name_type> u;
+  mutable variant<vertex_descriptor, vertex_name_type> v;
+  mutable bool committed;
+
+private:
+  // No copy-assignment semantics
+  void operator=(lazy_add_edge&);
+};
+
+template<BGL_NAMED_GRAPH_PARAMS>
+BGL_NAMED_GRAPH::lazy_add_edge::~lazy_add_edge()
+{
+  using boost::parallel::detail::make_untracked_pair;
+
+  /// If this edge has already been created or will be created by
+  /// someone else, or if someone threw an exception, we will not
+  /// create the edge now.
+  if (committed || std::uncaught_exception())
+    return;
+
+  committed = true;
+
+  if (vertex_name_type* v_name = boost::get<vertex_name_type>(&v)) {
+    // We haven't resolved the target vertex to a descriptor yet, so
+    // it must not be local. Send a message to the owner of the target
+    // of the edge. If the owner of the target does not happen to own
+    // the source, it will resolve the target to a vertex descriptor
+    // and pass the message along to the owner of the source. 
+    if (vertex_name_type* u_name = boost::get<vertex_name_type>(&u))
+      send(self.process_group(), self.distribution_(*v_name),
+           BGL_NAMED_GRAPH::msg_add_edge_name_name,
+           make_untracked_pair(*u_name, *v_name));
+    else
+      send(self.process_group(), self.distribution_(*v_name),
+           BGL_NAMED_GRAPH::msg_add_edge_vertex_name,
+           make_untracked_pair(boost::get<vertex_descriptor>(u), *v_name));
+  } else {
+    if (vertex_name_type* u_name = boost::get<vertex_name_type>(&u))
+      // We haven't resolved the source vertex to a descriptor yet, so
+      // it must not be local. Send a message to the owner of the
+      // source vertex requesting the edge addition.
+      send(self.process_group(), self.distribution_(*u_name),
+           BGL_NAMED_GRAPH::msg_add_edge_name_vertex,
+           make_untracked_pair(*u_name, boost::get<vertex_descriptor>(v)));
+    else
+      // We have descriptors for both of the vertices, either of which
+      // may be remote or local. Tell the owner of the source vertex
+      // to add the edge (it may be us!).
+      add_edge(boost::get<vertex_descriptor>(u), 
+               boost::get<vertex_descriptor>(v), 
+               self.derived());
+  }
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+std::pair<typename graph_traits<Graph>::edge_descriptor, bool>
+BGL_NAMED_GRAPH::lazy_add_edge::commit() const
+{
+  typedef typename BGL_NAMED_GRAPH::process_id_type process_id_type;
+  using boost::parallel::detail::make_untracked_pair;
+
+  BOOST_ASSERT(!committed);
+  committed = true;
+
+  /// The result we will return, if we are sending a message to
+  /// request that someone else add the edge.
+  boost::parallel::detail::untracked_pair<edge_descriptor, bool> result;
+
+  /// The owner of the vertex "u"
+  process_id_type u_owner;
+
+  process_id_type rank = process_id(self.process_group());
+  if (const vertex_name_type* u_name = boost::get<vertex_name_type>(&u)) {
+    /// We haven't resolved the source vertex to a descriptor yet, so
+    /// it must not be local. 
+    u_owner = self.named_distribution()(*u_name);
+
+    /// Send a message to the remote vertex requesting that it add the
+    /// edge. The message differs depending on whether we have a
+    /// vertex name or a vertex descriptor for the target.
+    if (const vertex_name_type* v_name = boost::get<vertex_name_type>(&v))
+      send_oob_with_reply(self.process_group(), u_owner,
+                          BGL_NAMED_GRAPH::msg_add_edge_name_name_with_reply,
+                          make_untracked_pair(*u_name, *v_name), result);
+    else
+      send_oob_with_reply(self.process_group(), u_owner,
+                          BGL_NAMED_GRAPH::msg_add_edge_name_vertex_with_reply,
+                          make_untracked_pair(*u_name, 
+                                         boost::get<vertex_descriptor>(v)),
+                          result);
+  } else {
+    /// We have resolved the source vertex to a descriptor, which may
+    /// either be local or remote.
+    u_owner 
+      = get(vertex_owner, self.derived(),
+            boost::get<vertex_descriptor>(u));
+    if (u_owner == rank) {
+      /// The source is local. If we need to, resolve the target vertex.
+      if (const vertex_name_type* v_name = boost::get<vertex_name_type>(&v))
+        v = add_vertex(*v_name, self.derived());
+
+      /// Add the edge using vertex descriptors
+      return add_edge(boost::get<vertex_descriptor>(u), 
+                      boost::get<vertex_descriptor>(v), 
+                      self.derived());
+    } else {
+      /// The source is remote. Just send a message to its owner
+      /// requesting that the owner add the new edge, either directly
+      /// or via the derived class's add_edge function.
+      if (const vertex_name_type* v_name = boost::get<vertex_name_type>(&v))
+        send_oob_with_reply
+          (self.process_group(), u_owner,
+           BGL_NAMED_GRAPH::msg_add_edge_vertex_name_with_reply,
+           make_untracked_pair(boost::get<vertex_descriptor>(u), *v_name),
+           result);
+      else
+        return add_edge(boost::get<vertex_descriptor>(u), 
+                        boost::get<vertex_descriptor>(v), 
+                        self.derived());
+    }
+  }
+
+  // If we get here, the edge has been added remotely and "result"
+  // contains the result of that edge addition.
+  return result;
+}
+
+/**
+ * Data structure returned from add_edge that will "lazily" add the
+ * edge with a property, either when it is converted to a @c
+ * pair<edge_descriptor,bool> or when the most recent copy has been
+ * destroyed.
+ */
+template<BGL_NAMED_GRAPH_PARAMS>
+struct BGL_NAMED_GRAPH::lazy_add_edge_with_property 
+{
+  /// The graph's edge descriptor
+  typedef typename graph_traits<Graph>::edge_descriptor edge_descriptor;
+
+  /// The Edge property type for our graph
+  typedef typename Config::edge_property_type edge_property_type;
+  
+  /// Add an edge for the edge (u, v) based on vertex names
+  lazy_add_edge_with_property(BGL_NAMED_GRAPH& self, 
+                              const vertex_name_type& u_name,
+                              const vertex_name_type& v_name,
+                              const edge_property_type& property) 
+    : self(self), u(u_name), v(v_name), property(property), committed(false)
+  { 
+  }
+
+  /// Add an edge for the edge (u, v) based on a vertex descriptor and name
+  lazy_add_edge_with_property(BGL_NAMED_GRAPH& self,
+                vertex_descriptor u,
+                const vertex_name_type& v_name,
+                                  const edge_property_type& property)
+    : self(self), u(u), v(v_name), property(property), committed(false) { }
+
+  /// Add an edge for the edge (u, v) based on a vertex name and descriptor
+  lazy_add_edge_with_property(BGL_NAMED_GRAPH& self,
+                              const vertex_name_type& u_name,
+                              vertex_descriptor v,
+                              const edge_property_type& property)
+    : self(self), u(u_name), v(v), property(property), committed(false) { }
+
+  /// Add an edge for the edge (u, v) based on vertex descriptors
+  lazy_add_edge_with_property(BGL_NAMED_GRAPH& self,
+                              vertex_descriptor u,
+                              vertex_descriptor v,
+                              const edge_property_type& property)
+    : self(self), u(u), v(v), property(property), committed(false) { }
+
+  /// Copy a lazy_add_edge_with_property structure, which transfers
+  /// responsibility for adding the edge to the newly-constructed
+  /// object.
+  lazy_add_edge_with_property(const lazy_add_edge_with_property& other)
+    : self(other.self), u(other.u), v(other.v), property(other.property), 
+      committed(other.committed)
+  {
+    other.committed = true;
+  }
+
+  /// If the edge has not yet been added, add the edge but don't wait
+  /// for a reply.
+  ~lazy_add_edge_with_property();
+
+  /// Returns commit().
+  operator std::pair<edge_descriptor, bool>() const { return commit(); }
+
+  // Add the edge. This operation will block if a remote edge is
+  // being added.
+  std::pair<edge_descriptor, bool> commit() const;
+
+protected:
+  BGL_NAMED_GRAPH& self;
+  mutable variant<vertex_descriptor, vertex_name_type> u;
+  mutable variant<vertex_descriptor, vertex_name_type> v;
+  edge_property_type property;
+  mutable bool committed;
+
+private:
+  // No copy-assignment semantics
+  void operator=(lazy_add_edge_with_property&);
+};
+
+template<BGL_NAMED_GRAPH_PARAMS>
+BGL_NAMED_GRAPH::lazy_add_edge_with_property::~lazy_add_edge_with_property()
+{
+  using boost::detail::parallel::make_pair_with_property;
+
+  /// If this edge has already been created or will be created by
+  /// someone else, or if someone threw an exception, we will not
+  /// create the edge now.
+  if (committed || std::uncaught_exception())
+    return;
+
+  committed = true;
+
+  if (vertex_name_type* v_name = boost::get<vertex_name_type>(&v)) {
+    // We haven't resolved the target vertex to a descriptor yet, so
+    // it must not be local. Send a message to the owner of the target
+    // of the edge. If the owner of the target does not happen to own
+    // the source, it will resolve the target to a vertex descriptor
+    // and pass the message along to the owner of the source. 
+    if (vertex_name_type* u_name = boost::get<vertex_name_type>(&u))
+      send(self.process_group(), self.distribution_(*v_name),
+           BGL_NAMED_GRAPH::msg_add_edge_name_name_with_property,
+           make_pair_with_property(*u_name, *v_name, property));
+    else
+      send(self.process_group(), self.distribution_(*v_name),
+           BGL_NAMED_GRAPH::msg_add_edge_vertex_name_with_property,
+           make_pair_with_property(boost::get<vertex_descriptor>(u), *v_name, 
+                                   property));
+  } else {
+    if (vertex_name_type* u_name = boost::get<vertex_name_type>(&u))
+      // We haven't resolved the source vertex to a descriptor yet, so
+      // it must not be local. Send a message to the owner of the
+      // source vertex requesting the edge addition.
+      send(self.process_group(), self.distribution_(*u_name),
+           BGL_NAMED_GRAPH::msg_add_edge_name_vertex_with_property,
+           make_pair_with_property(*u_name, boost::get<vertex_descriptor>(v), 
+                                   property));
+    else
+      // We have descriptors for both of the vertices, either of which
+      // may be remote or local. Tell the owner of the source vertex
+      // to add the edge (it may be us!).
+      add_edge(boost::get<vertex_descriptor>(u), 
+               boost::get<vertex_descriptor>(v), 
+               property,
+               self.derived());
+  }
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+std::pair<typename graph_traits<Graph>::edge_descriptor, bool>
+BGL_NAMED_GRAPH::lazy_add_edge_with_property::commit() const
+{
+  using boost::detail::parallel::make_pair_with_property;
+  typedef typename BGL_NAMED_GRAPH::process_id_type process_id_type;
+  BOOST_ASSERT(!committed);
+  committed = true;
+
+  /// The result we will return, if we are sending a message to
+  /// request that someone else add the edge.
+  boost::parallel::detail::untracked_pair<edge_descriptor, bool> result;
+
+  /// The owner of the vertex "u"
+  process_id_type u_owner;
+
+  process_id_type rank = process_id(self.process_group());
+  if (const vertex_name_type* u_name = boost::get<vertex_name_type>(&u)) {
+    /// We haven't resolved the source vertex to a descriptor yet, so
+    /// it must not be local. 
+    u_owner = self.named_distribution()(*u_name);
+
+    /// Send a message to the remote vertex requesting that it add the
+    /// edge. The message differs depending on whether we have a
+    /// vertex name or a vertex descriptor for the target.
+    if (const vertex_name_type* v_name = boost::get<vertex_name_type>(&v))
+      send_oob_with_reply
+        (self.process_group(), u_owner,
+         BGL_NAMED_GRAPH::msg_add_edge_name_name_with_reply_and_property,
+         make_pair_with_property(*u_name, *v_name, property),
+         result);
+    else
+      send_oob_with_reply
+        (self.process_group(), u_owner,
+         BGL_NAMED_GRAPH::msg_add_edge_name_vertex_with_reply_and_property,
+         make_pair_with_property(*u_name, 
+                                 boost::get<vertex_descriptor>(v),
+                                 property),
+         result);
+  } else {
+    /// We have resolved the source vertex to a descriptor, which may
+    /// either be local or remote.
+    u_owner 
+      = get(vertex_owner, self.derived(),
+            boost::get<vertex_descriptor>(u));
+    if (u_owner == rank) {
+      /// The source is local. If we need to, resolve the target vertex.
+      if (const vertex_name_type* v_name = boost::get<vertex_name_type>(&v))
+        v = add_vertex(*v_name, self.derived());
+
+      /// Add the edge using vertex descriptors
+      return add_edge(boost::get<vertex_descriptor>(u), 
+                      boost::get<vertex_descriptor>(v), 
+                      property,
+                      self.derived());
+    } else {
+      /// The source is remote. Just send a message to its owner
+      /// requesting that the owner add the new edge, either directly
+      /// or via the derived class's add_edge function.
+      if (const vertex_name_type* v_name = boost::get<vertex_name_type>(&v))
+        send_oob_with_reply
+          (self.process_group(), u_owner,
+           BGL_NAMED_GRAPH::msg_add_edge_vertex_name_with_reply_and_property,
+           make_pair_with_property(boost::get<vertex_descriptor>(u), *v_name,
+                                   property),
+           result);
+      else
+        return add_edge(boost::get<vertex_descriptor>(u), 
+                        boost::get<vertex_descriptor>(v), 
+                        property,
+                        self.derived());
+    }
+  }
+
+  // If we get here, the edge has been added remotely and "result"
+  // contains the result of that edge addition.
+  return result;
+}
+
+/// Construct the named_graph with a particular process group
+template<BGL_NAMED_GRAPH_PARAMS>
+BGL_NAMED_GRAPH::named_graph(const process_group_type& pg)
+  : process_group_(pg, parallel::attach_distributed_object()),
+    distribution_(pg)
+{
+  setup_triggers();
+}
+
+/// Construct the named_graph mixin with a particular process group
+/// and distribution function
+template<BGL_NAMED_GRAPH_PARAMS>
+BGL_NAMED_GRAPH::named_graph(const process_group_type& pg,
+                             const base_distribution_type& distribution)
+  : process_group_(pg, parallel::attach_distributed_object()),
+    distribution_(pg, distribution)
+{
+  setup_triggers();
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+void
+BGL_NAMED_GRAPH::setup_triggers()
+{
+  using boost::graph::parallel::simple_trigger;
+
+  simple_trigger(process_group_, msg_add_vertex_name, this,
+                 &named_graph::handle_add_vertex_name);
+  simple_trigger(process_group_, msg_add_vertex_name_with_reply, this,
+                 &named_graph::handle_add_vertex_name_with_reply);
+  simple_trigger(process_group_, msg_find_vertex, this, 
+                 &named_graph::handle_find_vertex);
+  simple_trigger(process_group_, msg_add_edge_name_name, this, 
+                 &named_graph::template handle_add_edge<vertex_name_type, 
+                                                        vertex_name_type>);
+  simple_trigger(process_group_, msg_add_edge_name_name_with_reply, this,
+                 &named_graph::template handle_add_edge_with_reply
+                   <vertex_name_type, vertex_name_type>);
+  simple_trigger(process_group_, msg_add_edge_name_vertex, this,
+                 &named_graph::template handle_add_edge<vertex_name_type, 
+                                                        vertex_descriptor>);
+  simple_trigger(process_group_, msg_add_edge_name_vertex_with_reply, this,
+                 &named_graph::template handle_add_edge_with_reply
+                   <vertex_name_type, vertex_descriptor>);
+  simple_trigger(process_group_, msg_add_edge_vertex_name, this,
+                 &named_graph::template handle_add_edge<vertex_descriptor, 
+                                                        vertex_name_type>);
+  simple_trigger(process_group_, msg_add_edge_vertex_name_with_reply, this,
+                 &named_graph::template handle_add_edge_with_reply
+                   <vertex_descriptor, vertex_name_type>);
+  simple_trigger(process_group_, msg_add_edge_name_name_with_property, this, 
+                 &named_graph::
+                   template handle_add_edge_with_property<vertex_name_type, 
+                                                          vertex_name_type>);
+  simple_trigger(process_group_, 
+                 msg_add_edge_name_name_with_reply_and_property, this,
+                 &named_graph::template handle_add_edge_with_reply_and_property
+                   <vertex_name_type, vertex_name_type>);
+  simple_trigger(process_group_, msg_add_edge_name_vertex_with_property, this,
+                 &named_graph::
+                   template handle_add_edge_with_property<vertex_name_type, 
+                                                          vertex_descriptor>);
+  simple_trigger(process_group_, 
+                 msg_add_edge_name_vertex_with_reply_and_property, this,
+                 &named_graph::template handle_add_edge_with_reply_and_property
+                   <vertex_name_type, vertex_descriptor>);
+  simple_trigger(process_group_, msg_add_edge_vertex_name_with_property, this,
+                 &named_graph::
+                   template handle_add_edge_with_property<vertex_descriptor, 
+                                                          vertex_name_type>);
+  simple_trigger(process_group_, 
+                 msg_add_edge_vertex_name_with_reply_and_property, this,
+                 &named_graph::template handle_add_edge_with_reply_and_property
+                   <vertex_descriptor, vertex_name_type>);
+}
+
+/// Retrieve the vertex associated with the given name
+template<BGL_NAMED_GRAPH_PARAMS>
+optional<Vertex> 
+find_vertex(typename BGL_NAMED_GRAPH::vertex_name_type const& name,
+            const BGL_NAMED_GRAPH& g)
+{
+  typedef typename Graph::local_vertex_descriptor local_vertex_descriptor;
+  typedef typename graph_traits<Graph>::vertex_descriptor vertex_descriptor;
+
+  // Determine the owner of this name
+  typename BGL_NAMED_GRAPH::process_id_type owner 
+    = g.named_distribution()(name);
+
+  if (owner == process_id(g.process_group())) {
+    // The vertex is local, so search for a mapping here
+    optional<local_vertex_descriptor> result 
+      = find_vertex(name, g.derived().base());
+    if (result)
+      return Vertex(owner, *result);
+    else
+      return optional<Vertex>();
+  }
+  else {
+    // Ask the ownering process for the name of this vertex
+    boost::parallel::detail::untracked_pair<vertex_descriptor, bool> result;
+    send_oob_with_reply(g.process_group(), owner, 
+                        BGL_NAMED_GRAPH::msg_find_vertex, name, result);
+    if (result.second)
+      return result.first;
+    else
+      return optional<Vertex>();
+  }
+}
+
+/// meta-function helping in figuring out if the given VertextProerty belongs to 
+/// a named graph
+template<typename VertexProperty>
+struct not_is_named_graph
+  : is_same<typename internal_vertex_name<VertexProperty>::type, void>
+{};
+
+/// Retrieve the vertex associated with the given name
+template<typename Graph>
+typename Graph::named_graph_type::lazy_add_vertex
+add_vertex(typename Graph::vertex_name_type const& name,
+           Graph& g, 
+           typename disable_if<
+              not_is_named_graph<typename Graph::vertex_property_type>, 
+              void*>::type = 0)
+{
+  return typename Graph::named_graph_type::lazy_add_vertex(g, name);
+}
+
+/// Add an edge using vertex names to refer to the vertices
+template<BGL_NAMED_GRAPH_PARAMS>
+typename BGL_NAMED_GRAPH::lazy_add_edge
+add_edge(typename BGL_NAMED_GRAPH::vertex_name_type const& u_name,
+         typename BGL_NAMED_GRAPH::vertex_name_type const& v_name,
+         BGL_NAMED_GRAPH& g)
+{
+  typedef typename BGL_NAMED_GRAPH::lazy_add_edge lazy_add_edge;
+  typedef typename BGL_NAMED_GRAPH::process_id_type process_id_type;
+
+  process_id_type rank = process_id(g.process_group());
+  process_id_type u_owner = g.named_distribution()(u_name);
+  process_id_type v_owner = g.named_distribution()(v_name);
+
+  // Resolve local vertex names before building the "lazy" edge
+  // addition structure.
+  if (u_owner == rank && v_owner == rank)
+    return lazy_add_edge(g, add_vertex(u_name, g), add_vertex(v_name, g));
+  else if (u_owner == rank && v_owner != rank)
+    return lazy_add_edge(g, add_vertex(u_name, g), v_name);
+  else if (u_owner != rank && v_owner == rank)
+    return lazy_add_edge(g, u_name, add_vertex(v_name, g));
+  else
+    return lazy_add_edge(g, u_name, v_name);
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+typename BGL_NAMED_GRAPH::lazy_add_edge
+add_edge(typename BGL_NAMED_GRAPH::vertex_name_type const& u_name,
+         typename BGL_NAMED_GRAPH::vertex_descriptor const& v,
+         BGL_NAMED_GRAPH& g)
+{
+  // Resolve local vertex names before building the "lazy" edge
+  // addition structure.
+  typedef typename BGL_NAMED_GRAPH::lazy_add_edge lazy_add_edge;
+  if (g.named_distribution()(u_name) == process_id(g.process_group()))
+    return lazy_add_edge(g, add_vertex(u_name, g), v);
+  else
+    return lazy_add_edge(g, u_name, v);
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+typename BGL_NAMED_GRAPH::lazy_add_edge
+add_edge(typename BGL_NAMED_GRAPH::vertex_descriptor const& u,
+         typename BGL_NAMED_GRAPH::vertex_name_type const& v_name,
+         BGL_NAMED_GRAPH& g)
+{
+  // Resolve local vertex names before building the "lazy" edge
+  // addition structure.
+  typedef typename BGL_NAMED_GRAPH::lazy_add_edge lazy_add_edge;
+  if (g.named_distribution()(v_name) == process_id(g.process_group()))
+    return lazy_add_edge(g, u, add_vertex(v_name, g));
+  else
+    return lazy_add_edge(g, u, v_name);
+}
+
+/// Add an edge using vertex names to refer to the vertices
+template<BGL_NAMED_GRAPH_PARAMS>
+typename BGL_NAMED_GRAPH::lazy_add_edge_with_property
+add_edge(typename BGL_NAMED_GRAPH::vertex_name_type const& u_name,
+         typename BGL_NAMED_GRAPH::vertex_name_type const& v_name,
+         typename Graph::edge_property_type const& property,
+         BGL_NAMED_GRAPH& g)
+{
+  typedef typename BGL_NAMED_GRAPH::lazy_add_edge_with_property lazy_add_edge;
+  typedef typename BGL_NAMED_GRAPH::process_id_type process_id_type;
+
+  process_id_type rank = process_id(g.process_group());
+  process_id_type u_owner = g.named_distribution()(u_name);
+  process_id_type v_owner = g.named_distribution()(v_name);
+
+  // Resolve local vertex names before building the "lazy" edge
+  // addition structure.
+  if (u_owner == rank && v_owner == rank)
+    return lazy_add_edge(g, add_vertex(u_name, g), add_vertex(v_name, g), 
+                         property);
+  else if (u_owner == rank && v_owner != rank)
+    return lazy_add_edge(g, add_vertex(u_name, g), v_name, property);
+  else if (u_owner != rank && v_owner == rank)
+    return lazy_add_edge(g, u_name, add_vertex(v_name, g), property);
+  else
+    return lazy_add_edge(g, u_name, v_name, property);
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+typename BGL_NAMED_GRAPH::lazy_add_edge_with_property
+add_edge(typename BGL_NAMED_GRAPH::vertex_name_type const& u_name,
+         typename BGL_NAMED_GRAPH::vertex_descriptor const& v,
+         typename Graph::edge_property_type const& property,
+         BGL_NAMED_GRAPH& g)
+{
+  // Resolve local vertex names before building the "lazy" edge
+  // addition structure.
+  typedef typename BGL_NAMED_GRAPH::lazy_add_edge_with_property lazy_add_edge;
+  if (g.named_distribution()(u_name) == process_id(g.process_group()))
+    return lazy_add_edge(g, add_vertex(u_name, g), v, property);
+  else
+    return lazy_add_edge(g, u_name, v, property);
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+typename BGL_NAMED_GRAPH::lazy_add_edge_with_property
+add_edge(typename BGL_NAMED_GRAPH::vertex_descriptor const& u,
+         typename BGL_NAMED_GRAPH::vertex_name_type const& v_name,
+         typename Graph::edge_property_type const& property,
+         BGL_NAMED_GRAPH& g)
+{
+  // Resolve local vertex names before building the "lazy" edge
+  // addition structure.
+  typedef typename BGL_NAMED_GRAPH::lazy_add_edge_with_property lazy_add_edge;
+  if (g.named_distribution()(v_name) == process_id(g.process_group()))
+    return lazy_add_edge(g, u, add_vertex(v_name, g), property);
+  else
+    return lazy_add_edge(g, u, v_name, property);
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+typename BGL_NAMED_GRAPH::process_id_type 
+BGL_NAMED_GRAPH::owner_by_property(const vertex_property_type& property)
+{
+  return distribution_(derived().base().extract_name(property));
+}
+
+
+/*******************************************************************
+ * Message handlers                                                *
+ *******************************************************************/
+
+template<BGL_NAMED_GRAPH_PARAMS>
+void 
+BGL_NAMED_GRAPH::
+handle_add_vertex_name(int /*source*/, int /*tag*/, 
+                       const vertex_name_type& msg, trigger_receive_context)
+{
+  add_vertex(msg, derived());
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+typename BGL_NAMED_GRAPH::vertex_descriptor
+BGL_NAMED_GRAPH::
+handle_add_vertex_name_with_reply(int source, int /*tag*/, 
+                                  const vertex_name_type& msg, 
+                                  trigger_receive_context)
+{
+  return add_vertex(msg, derived());
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+boost::parallel::detail::untracked_pair<typename BGL_NAMED_GRAPH::vertex_descriptor, bool>
+BGL_NAMED_GRAPH::
+handle_find_vertex(int source, int /*tag*/, const vertex_name_type& msg, 
+                   trigger_receive_context)
+{
+  using boost::parallel::detail::make_untracked_pair;
+
+  optional<vertex_descriptor> v = find_vertex(msg, derived());
+  if (v)
+    return make_untracked_pair(*v, true);
+  else
+    return make_untracked_pair(graph_traits<Graph>::null_vertex(), false);
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+template<typename U, typename V>
+void
+BGL_NAMED_GRAPH::
+handle_add_edge(int source, int /*tag*/, const boost::parallel::detail::untracked_pair<U, V>& msg, 
+                trigger_receive_context)
+{
+  add_edge(msg.first, msg.second, derived());
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+template<typename U, typename V>
+boost::parallel::detail::untracked_pair<typename BGL_NAMED_GRAPH::edge_descriptor, bool>
+BGL_NAMED_GRAPH::
+handle_add_edge_with_reply(int source, int /*tag*/, const boost::parallel::detail::untracked_pair<U, V>& msg,
+                           trigger_receive_context)
+{
+  std::pair<typename BGL_NAMED_GRAPH::edge_descriptor, bool> p =
+    add_edge(msg.first, msg.second, derived());
+   return p;
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+template<typename U, typename V>
+void 
+BGL_NAMED_GRAPH::
+handle_add_edge_with_property
+  (int source, int tag, 
+   const pair_with_property<U, V, edge_property_type>& msg,
+   trigger_receive_context)
+{
+  add_edge(msg.first, msg.second, msg.get_property(), derived());
+}
+
+template<BGL_NAMED_GRAPH_PARAMS>
+template<typename U, typename V>
+boost::parallel::detail::untracked_pair<typename BGL_NAMED_GRAPH::edge_descriptor, bool>
+BGL_NAMED_GRAPH::
+handle_add_edge_with_reply_and_property
+  (int source, int tag, 
+   const pair_with_property<U, V, edge_property_type>& msg,
+   trigger_receive_context)
+{
+  std:: pair<typename BGL_NAMED_GRAPH::edge_descriptor, bool> p =
+    add_edge(msg.first, msg.second, msg.get_property(), derived());
+  return p;
+}
+
+#undef BGL_NAMED_GRAPH
+#undef BGL_NAMED_GRAPH_PARAMS
+
+/*******************************************************************
+ * Maybe named graph mixin                                         *
+ *******************************************************************/
+
+/**
+ * A graph mixin that can provide a mapping from names to vertices,
+ * and use that mapping to simplify creation and manipulation of
+ * graphs. 
+ */
+template<typename Graph, typename Vertex, typename Edge, typename Config, 
+  typename ExtractName 
+    = typename internal_vertex_name<typename Config::vertex_property_type>::type>
+struct maybe_named_graph 
+  : public named_graph<Graph, Vertex, Edge, Config> 
+{
+private:
+  typedef named_graph<Graph, Vertex, Edge, Config> inherited;
+  typedef typename Config::process_group_type process_group_type;
+  
+public:
+  /// The type used to distribute named vertices in the graph
+  typedef typename Config::distribution_type distribution_type;
+  typedef typename Config::base_distribution_type base_distribution_type;
+  
+  explicit maybe_named_graph(const process_group_type& pg) : inherited(pg) { }
+
+  maybe_named_graph(const process_group_type& pg, 
+                    const base_distribution_type& distribution)
+    : inherited(pg, distribution) { }  
+
+  distribution_type&       distribution()       { return this->distribution_; }
+  const distribution_type& distribution() const { return this->distribution_; }
+};
+
+/**
+ * A graph mixin that can provide a mapping from names to vertices,
+ * and use that mapping to simplify creation and manipulation of
+ * graphs. This partial specialization turns off this functionality
+ * when the @c VertexProperty does not have an internal vertex name.
+ */
+template<typename Graph, typename Vertex, typename Edge, typename Config>
+struct maybe_named_graph<Graph, Vertex, Edge, Config, void> 
+{ 
+private:
+  typedef typename Config::process_group_type process_group_type;
+  typedef typename Config::vertex_property_type vertex_property_type;
+  
+public:
+  typedef typename process_group_type::process_id_type process_id_type;
+
+  /// The type used to distribute named vertices in the graph
+  typedef typename Config::distribution_type distribution_type;
+  typedef typename Config::base_distribution_type base_distribution_type;
+
+  explicit maybe_named_graph(const process_group_type&)  { }
+
+  maybe_named_graph(const process_group_type& pg, 
+                    const base_distribution_type& distribution) 
+    : distribution_(pg, distribution) { }
+
+  /// Notify the named_graph that we have added the given vertex. This
+  /// is a no-op.
+  void added_vertex(Vertex) { }
+
+  /// Notify the named_graph that we are removing the given
+  /// vertex. This is a no-op.
+  template <typename VertexIterStability>
+  void removing_vertex(Vertex, VertexIterStability) { }
+
+  /// Notify the named_graph that we are clearing the graph
+  void clearing_graph() { }
+
+  /// Retrieve the owner of a given vertex based on the properties
+  /// associated with that vertex. This operation just returns the
+  /// number of the local processor, adding all vertices locally.
+  process_id_type owner_by_property(const vertex_property_type&)
+  {
+    return process_id(pg);
+  }
+
+  distribution_type&       distribution()       { return distribution_; }
+  const distribution_type& distribution() const { return distribution_; }
+
+protected:
+  /// The process group of the graph
+  process_group_type pg;
+  
+  /// The distribution used for the graph
+  distribution_type distribution_;
+};
+
+} } } // end namespace boost::graph::distributed
+
+#endif // BOOST_GRAPH_DISTRIBUTED_NAMED_GRAPH_HPP