2-switch transition on unicyclic graphs and pseudoforest

Published 28 Feb 2021 in math.CO | (2103.00618v1)

Abstract: In the present work we prove that given any two unicycle graphs (pseudoforests) that share the same degree sequence there is a finite sequence of 2-switches transforming one into the other such that all the graphs in the sequence are also unicyclic graphs (pseudoforests).

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