
handle: 11454/56192
Summary: Let \(G\) be a graph. A vertex subversion strategy of \(G\), say \(S\), is a set of vertices in~ \(G\) whose closed neighborhood is removed from~ \(G\). The survival-subgraph is denoted by \(G/S\). The neighbor-integrity of~ \(G\), NI\((G)\), is defined to be NI\((G) = \min _{S \subseteq V (G)} \{| S| + c (G/S)\}\), where~ \(S\) is any vertex subversion strategy of~ \(G\), and \(c (G/S)\) is the maximum order of the components of \(G/S\). In this paper we give some results connecting the neighbor-integrity and binary graph operations.
Connectivity, Graph algorithms (graph-theoretic aspects), vulnerability, integrity, neighbor-integrity
Connectivity, Graph algorithms (graph-theoretic aspects), vulnerability, integrity, neighbor-integrity
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