Identity Graph of Multiplicate Group of Integer Modulo with Order of Prime
Muhammad Naoval Husni (a), Lalu Riski Wirendra Putra (a), Dwiky Yudha Prasetya (a), Zata Yumni Awanis(a*)

a) Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Mataram, Jalan Majapahit No. 62, Mataram 83115, Indonesia.

Abstract

In recent years, graphs are used to represent an abstract finite group. One type of graph of a group is an identity graph defined by Vasantha and Smarandache in 2009. An identity graph is an ordered pair of a vertex set V(G) and an edge set E(G) where two distinct vertices x and y of G are adjacent if xy=e with all vertices are adjacent to the identity vertex. In this paper, we provide the identity graph of the multiplicate group of integer modulo n, where n is prime number and 1 is the identity of multiplicate group of integer modulo n. We also provide some properties of the obtained identity graph.

Keywords: Modulo group- identity graph.

Topic: MATHEMATICS AND SCIENCE EDUCATIONS