Comparision of Some Operator Graphs

Dr.D. Premalatha; Dr. A.Vethamanickam

doi:https://doi.org/10.14445/22315373/IJMTT-V55P564

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 7 | Year 2018 | Article Id. IJMTT-V55P564 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P564

Comparision of Some Operator Graphs

Dr.D. Premalatha, Dr. A.Vethamanickam

Abstract

Let (G, *) be a group. We define Operator power graph Γop(G) , Intersection operator graph ΓIO(G), Operator Intersection graph ΓOI(G) of G. In this paper we want to explore how the group theoretical properties of G can effect on the graph theoretical properties of Γop(G) , ΓIO(G), ΓOI(G) . Some characterizations for fundamental properties of these graphs have been obtained and we characterize certain classes of Operator graphs corresponding to some groups of special order then compare these graphs finally.

Keywords

Operator power graph, Intersection operator graph, Operator Intersection graph Cyclic group, Abelian group.

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Citation :

Dr.D. Premalatha, Dr. A.Vethamanickam, "Comparision of Some Operator Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 7, pp. 498-503, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P564