CARDINALITY PRIME GRAPH OF INTERSECTION OF TWO CYCLIC SUBGROUPS

Authors

  • C. Sathiya and P. Devi Author

Abstract

Let  be a group. The Cardinality Prime Graph of intersection of two cyclic subgroups of , denoted by  is the graph whose vertex set is the set of all the non-trivial elements of , and two vertices  and  are adjacent if and only if  In this paper, we classify all the finite groups whose graph is one of complete, totally disconnected, bipartite, planar.

Keywords: Cardinality Prime Graph, complete and planar.

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Published

2025-05-22

Issue

Vol. 57 No. 2 (2025)

Section

Articles