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A new lower bound for eternal vertex cover number (1910.05042v2)

Published 11 Oct 2019 in cs.DM

Abstract: We obtain a new lower bound for the eternal vertex cover number of an arbitrary graph $G$, in terms of the cardinality of a vertex cover of minimum size in $G$ containing all its cut vertices. The consequences of the lower bound includes a quadratic time algorithm for computing the eternal vertex cover number of chordal graphs.

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