Safe Eternal m - secure sets in Graphs

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Eternal m-security subdivision numbers in graphs

An eternal $m$-secure set of a graph $G = (V,E)$ is aset $S_0subseteq V$ that can defend against any sequence ofsingle-vertex attacks by means of multiple-guard shifts along theedges of $G$. A suitable placement of the guards is called aneternal $m$-secure set. The eternal $m$-security number$sigma_m(G)$ is the minimum cardinality among all eternal$m$-secure sets in $G$. An edge $uvin E(G)$ is ...

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ژورنال

عنوان ژورنال: Journal of Physics: Conference Series

سال: 2020

ISSN: 1742-6588,1742-6596

DOI: 10.1088/1742-6596/1706/1/012049