COPRIME GRAPH OF INTEGERS MODULO n GROUP AND ITS SUBGROUPS

Rina Juliana, Masriani Masriani, I Gede Adhitya Wisnu Wardhana, Ni Wayan Switrayni, Irwansyah Irwansyah


DOI: https://doi.org/10.14710/jfma.v3i1.7412

Abstract


Coprime Graph is a geometric representation of a group in the form of undirected
graph. 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.


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References


X.L. Ma, H.Q.Wei, and L.Y. Yang, ”The coprime graph of a group,” International Journal

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