Open AccessAssociate Ring Graphs
Author(s) -
M. James Subhakar
Publication year - 2010
Publication title -
mapana journal of sciences
Language(s) - English
Resource type - Journals
ISSN - 0975-3303
DOI - 10.12723/mjs.16.5
Subject(s) - combinatorics , modulo , commutative ring , graph , vertex (graph theory) , mathematics , discrete mathematics , undirected graph , commutative property
R is a commutative ring with unity. The associate ring graph AG(R) is the graph with the vertex set V = R • {0} and edge set E = {(a, b) / a, b are associates and a ≠ b}. Since the relation of being associate is on equivalence relation, this graph is an undirected graph and also each component is complete. In this paper, I present some of the interesting results majority of which are for the ring of integers modulo n, n is a positive integer.