Rina Juliana
Department of Mathematics, Universitas Mataram

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COPRIME GRAPH OF INTEGERS MODULO n GROUP AND ITS SUBGROUPS Rina Juliana; Masriani Masriani; I Gede Adhitya Wisnu Wardhana; Ni Wayan Switrayni; Irwansyah Irwansyah
Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 1 (2020)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (899.679 KB) | DOI: 10.14710/jfma.v3i1.7412

Abstract

Coprime Graph is a geometric representation of a group in the form of undirectedgraph. The coprime graph of a group G, denoted by $\Gamma_G$ is a graph whose vertices are all elements of group G; and two distinct vertices a and b are adjacent if and only if $(|a|,|b|)=1$. In this paper, we study coprime graph of integers modulo n group and its subgroups. One of the results is if n is a prime number, then coprime graph of integers modulo n group is a bipartite graph.