On trees with a maximum proper partial 0-1 coloring containing a maximum matching

Computer Science – Discrete Mathematics

Scientific paper

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4 pages

Scientific paper

10.1016/j.disc.2005.12.019

I prove that in a tree in which the distance between any two endpoints is
even, there is a maximum proper partial 0-1 coloring such that the edges
colored by 0 form a maximum matching.

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