COPRIME GRAPH OF INTEGERS MODULO n GROUP AND ITS SUBGROUPS
Open Access
- 10 June 2020
- journal article
- Published by Institute of Research and Community Services Diponegoro University (LPPM UNDIP) in Journal of Fundamental Mathematics and Applications (JFMA)
- Vol. 3 (1), 15-18
- https://doi.org/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.