COPRIME GRAPH OF INTEGERS MODULO n GROUP AND ITS SUBGROUPS

Rina Juliana (Department of Mathematics, Universitas Mataram)
Masriani Masriani (Department of Mathematics, Universitas Mataram)
I Gede Adhitya Wisnu Wardhana (Department of Mathematics, Universitas Mataram)
Ni Wayan Switrayni (Department of Mathematics, Universitas Mataram)
Irwansyah Irwansyah (Department of Mathematics, Universitas Mataram)

Journal of Fundamental Mathematics and Applications (JFMA)
Vol 3, No 1 (2020)

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.