ASKSAGE: Sage Q&A Forum - Individual question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Sun, 25 Aug 2019 14:45:25 -0500Automorphism group of edge symmetryhttp://ask.sagemath.org/question/47334/automorphism-group-of-edge-symmetry/ I asked a similar question before,
https://ask.sagemath.org/question/42762/automorphism-group-of-weighted-graph/
I am curious that is there any similar function for finding "edge symmetry"?
Note: the link I provided is for "node symmetry" in a network (graph). Thu, 01 Aug 2019 04:21:31 -0500http://ask.sagemath.org/question/47334/automorphism-group-of-edge-symmetry/Comment by rburing for <p>I asked a similar question before, </p>
<p><a href="https://ask.sagemath.org/question/42762/automorphism-group-of-weighted-graph/">https://ask.sagemath.org/question/427...</a> </p>
<p>I am curious that is there any similar function for finding "edge symmetry"? </p>
<p>Note: the link I provided is for "node symmetry" in a network (graph). </p>
http://ask.sagemath.org/question/47334/automorphism-group-of-edge-symmetry/?comment=47335#post-id-47335Can you clarify what you mean by an example? Do you mean the set of permutations of (labeled) edges induced by permutations of vertices?Thu, 01 Aug 2019 04:50:06 -0500http://ask.sagemath.org/question/47334/automorphism-group-of-edge-symmetry/?comment=47335#post-id-47335Answer by Arnaud Casteigts for <p>I asked a similar question before, </p>
<p><a href="https://ask.sagemath.org/question/42762/automorphism-group-of-weighted-graph/">https://ask.sagemath.org/question/427...</a> </p>
<p>I am curious that is there any similar function for finding "edge symmetry"? </p>
<p>Note: the link I provided is for "node symmetry" in a network (graph). </p>
http://ask.sagemath.org/question/47334/automorphism-group-of-edge-symmetry/?answer=47588#post-id-47588What about `g.line_graph().automorphism_group()`?
In most cases this group coincides with the edge automorphism group (see for instance https://math.stackexchange.com/a/54108)Sun, 25 Aug 2019 14:45:25 -0500http://ask.sagemath.org/question/47334/automorphism-group-of-edge-symmetry/?answer=47588#post-id-47588