## BOTH A GRAPH AND ITS COMPLEMENT ARE SELF-CENTERED WITH IDENTICAL RADIUS

## BOTH A GRAPH AND ITS COMPLEMENT ARE SELF-CENTERED WITH IDENTICAL RADIUS

*A. C. Malaravan, A. W. Baskar*

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## Abstract

We show that a graph and its complement are self-centered with identical radius r only when r = 2. Further, we provide a construction of such a graph for any given order at least eight.

## Keywords

Eccentricity, Self-centered graph, Complement (of a graph)