Abstract

In this paper we introduce the concepts of vertex-to-clique periphery, clique-to-vertex periphery and clique-to-clique periphery in a connected graph. We investigate their properties and determine them for certain classes of graphs. We also find the relations of these with the periphery, center, vertex-to-clique center, clique-to-vertex center and clique-to-clique center of certain classes of graphs.

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