Mercurial > hg > camir-aes2014
comparison toolboxes/FullBNT-1.0.7/graph/acyclic.m @ 0:e9a9cd732c1e tip
first hg version after svn
| author | wolffd |
|---|---|
| date | Tue, 10 Feb 2015 15:05:51 +0000 |
| parents | |
| children |
comparison
equal
deleted
inserted
replaced
| -1:000000000000 | 0:e9a9cd732c1e |
|---|---|
| 1 function b = acyclic(adj_mat, directed) | |
| 2 % ACYCLIC Returns true iff the graph has no (directed) cycles. | |
| 3 % b = acyclic(adj_mat, directed) | |
| 4 | |
| 5 adj_mat = double(adj_mat); | |
| 6 if nargin < 2, directed = 1; end | |
| 7 | |
| 8 % e.g., G = | |
| 9 % 1 -> 3 | |
| 10 % | | |
| 11 % v | |
| 12 % 2 <- 4 | |
| 13 % In this case, 1->2 in the transitive closure, but 1 cannot get to itself. | |
| 14 % If G was undirected, 1 could get to itself, but this graph is not cyclic. | |
| 15 % So we cannot use the closure test in the undirected case. | |
| 16 | |
| 17 if directed | |
| 18 R = reachability_graph(adj_mat); | |
| 19 b = ~any(diag(R)==1); | |
| 20 else | |
| 21 [d, pre, post, cycle] = dfs(adj_mat,[],directed); | |
| 22 b = ~cycle; | |
| 23 end |
