模n群及其子群的整数素数图

Journal of Fundamental Mathematics and Applications (JFMA) Pub Date : 2020-06-10 DOI:10.14710/jfma.v3i1.7412

Rina Juliana, M. Masriani, I. G. A. W. Wardhana, N. W. Switrayni, I. Irwansyah

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引用次数: 10

摘要

互素图是群的无向图形式的几何表示。群G的素图，记为$\Gamma_G$，其顶点都是群G的元素;两个不同的顶点a和b相邻当且仅当$(|a|，|b|)=1$。本文研究了模n群及其子群的整数素数图。其中一个结果是，如果n是素数，则整数的素数图模n群是二部图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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COPRIME GRAPH OF INTEGERS MODULO n GROUP AND ITS SUBGROUPS

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.

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Journal of Fundamental Mathematics and Applications (JFMA)

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