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arXiv · 1910.05042

A new lower bound for eternal vertex cover number

Jasine Babu·Veena Prabhakaran
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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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Jasine Babu, Veena Prabhakaran. 2019-10-11. A new lower bound for eternal vertex cover number. https://arxiv.org/abs/1910.05042

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