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-rw-r--r--sourcecodes/bnt-master/graph/reachability_graph.m19
1 files changed, 19 insertions, 0 deletions
diff --git a/sourcecodes/bnt-master/graph/reachability_graph.m b/sourcecodes/bnt-master/graph/reachability_graph.m
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+++ b/sourcecodes/bnt-master/graph/reachability_graph.m
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+function C = reachability_graph(G)
+% REACHABILITY_GRAPH C(i,j) = 1 iff there is a path from i to j in DAG G
+% C = reachability_graph(G)
+
+if 1
+  % expm(G) = I + G + G^2 / 2! + G^3 / 3! + ...
+  M = expm(double(full(G))) - eye(length(G));
+  C = (M>0);
+else
+  % This computes C = G + G^2 + ... + G^{n-1}
+  n = length(G);
+  A = G;
+  C = zeros(n);
+  for i=1:n-1
+    C = C + A;
+    A = A * G;
+  end
+  C = (C > 0);
+end