ASKSAGE: Sage Q&A Forum - Latest question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Wed, 17 May 2017 10:34:11 -0500Iterate over acyclic subdigraphshttp://ask.sagemath.org/question/37611/iterate-over-acyclic-subdigraphs/I have a graph `D`, and would like to iterate over its (maximal) acyclic subdigraphs (not necessarily induced).
My current best bet is to iterate over all permutations of the vertex set of D and, for each one, create an acyclic digraph A by going through each edge of D in turn and adding to A only those edges `ij` where `i` is less than `j` in the current permutation.
But this seems awfully inefficient.
More precisely:
D = DiGraph()
D.add_edges([[0,1],[0,2],[1,2],[1,3],[2,3],[3,4],[4,5],[4,6],[5,6],[5,0],[6,0]])
n = D.num_verts()
for p in Permutations(n):
A = DiGraph()
for e in D.edges():
if p[e[0]] < p[e[1]]:
A.add_edge(p[e[0]] -1,p[e[1]] -1)
# Here A is a maximal acyclic subdigraph of D
do_stuff(A)
Any ideas would be greatly appreciated.tassioWed, 17 May 2017 10:34:11 -0500http://ask.sagemath.org/question/37611/