Deleting a matching from a graph

asked 2022-05-02 16:41:25 +0100

vidyarthi
177 ●2 ●6 ●23

When I have a graph $G$ and a perfect matching given by G.matching() or by using the independent set in its line graph, I wish to know whether there is a method to delete the matching edges from the edge set of the graph. Like, I want to know a method that gives $G-M1$ for $M1$ being a matching in the graph. Is there any such method? Thanks beforehand..

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@DavidCoudert thanks! it works

vidyarthi ( 2022-05-02 18:26:16 +0100 )edit

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answered 2022-05-02 17:45:14 +0100

David Coudert
766 ●12 ●20 http://www-sop.inria.f...

G.matching() returns a list of edges, so you can do:

sage: G = graphs.PetersenGraph()
sage: G.order(), G.size()
(10, 15)
sage: M = G.matching()
sage: G.delete_edges(M)
sage: G.order(), G.size()
(10, 10)

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Asked: 2022-05-02 16:41:25 +0100

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Last updated: May 02 '22

Deleting a matching from a graph edit