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

COPRIME GRAPH OF INTEGERS MODULO n GROUP AND ITS SUBGROUPS

Rina Juliana  -  Department of Mathematics, Universitas Mataram, Indonesia
Masriani Masriani  -  Department of Mathematics, Universitas Mataram, Indonesia
*I Gede Adhitya Wisnu Wardhana  -  Department of Mathematics, Universitas Mataram, Indonesia
Ni Wayan Switrayni  -  Department of Mathematics, Universitas Mataram, Indonesia
Irwansyah Irwansyah  -  Department of Mathematics, Universitas Mataram, Indonesia

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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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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
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