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A new lower bound for eternal vertex cover number

2019/10/11 by Babu, Jasine, Prabhakaran, Veena
#Discrete Mathematics (cs.DM) #FOS: Computer and information sciences

paper · doi:10.48550/arxiv.1910.05042

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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