power graph of a group

GA316
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The power graph of a group is the graph whose vertex set is the group, two elements being adjacent if one is a power of the other.

I am wondering the notion of power graph of a group has been implemented in sage?

Kindly share your views.

Thank you.

1 Answer

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This can easily be constructed as follows

sage: S = SymmetricGroup(4)
sage: G = DiGraph(list(S))
sage: for s in S: G.add_edges([(s,s**k) for k in range(2,s.order())])

Thank you :)

GA316 ( 7 years ago )

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Asked: 7 years ago

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Last updated: Mar 17 '18