Some Parameters of the Central Graphs of the Identity Graphs of Finite Cyclic Groups

Authors

  • Clarence Alib Camarines Sur Polytechnic Colleges
  • Daryl M. Magpantay

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i3.4416

Keywords:

Cyclic group, Identity graph of a group, Handshaking lemma

Abstract

The interplay of groups and graphs has been a subject of interest by mathematics researchers nowadays. One particular instance is the identity graph of a group introduced by Kandasamy [5]. Moreover, the concept of a central graph of any graph is widely used by many graph theorists. The central graph of a graph G denoted by C(G) can be obtained by subdividing the edge of G exactly once and joining all the nonadjacent vertices of G in C(G). In this paper, we construct the central graph of the identity graph of finite cyclic group and investigate some of its graph properties.

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How to Cite

Alib, C., & Magpantay, D. M. . (2022). Some Parameters of the Central Graphs of the Identity Graphs of Finite Cyclic Groups. European Journal of Pure and Applied Mathematics, 15(3), 1098–1112. https://doi.org/10.29020/nybg.ejpam.v15i3.4416 (Original work published July 31, 2022)