A note on 4-self-centered graphs

  • ARIJIT MISHRA Gauhati University

Abstract

A graph G is said to be 4-self-centered if the eccentricity of each of its vertices is 4. In this paper, we discuss some properties associated to 4-self-centered graphs. We obtain its degree and girth and also the maximum number of triangles in such graphs. We also establish the existence of 8-cycles and 9-cycles in these graphs.

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Published
2025-07-13
Section
Research Articles