International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 11 Issue 12, December 2022 | Popularity: 4.5 / 10


     

Composite Graph of a Group

Chinmayee Kumar


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


DOI: https://www.doi.org/10.21275/SR221210221519



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Chinmayee Kumar, "Composite Graph of a Group", International Journal of Science and Research (IJSR), Volume 11 Issue 12, December 2022, pp. 663-665, https://www.ijsr.net/getabstract.php?paperid=SR221210221519, DOI: https://www.doi.org/10.21275/SR221210221519



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