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Graph operations and neighbor-integrity

Alpay Kırlangıc — 2004

Mathematica Bohemica

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 , N I ( G ) , is defined to be N I ( G ) = min S 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.

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