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Research Paper | Mathematics | India | Volume 11 Issue 12, December 2022 | Rating: 4.5 / 10
Composite Graph of a Group
Abstract: Let G be a finite group. The Composite graph ?(G) of G is a graph with vertices as the elements of G, and two vertices a and b are adjacent if either o(a)=o(b) or gcd?(o(a),o(b)) is a composite number. In this paper, we study the structure of ?(G) graphs, for some abelian and non-abelian groups. Further, we see that if two groups G_1 and G_2 are such that G_1?G_2, then ?(G_1)??(G_2).
Keywords: Composite graph, Cyclic group
Edition: Volume 11 Issue 12, December 2022,
Pages: 663 - 665