Title : ( A bipartite graph associated to a Bi-module of a ring )
Authors: zahra fattahi , Ahmad Erfanian , A. Azimi ,
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Abstract
Abstract. Let R be a ring, M be a left and right R-module. We associate a bipartite graph to R-module M of ring R, denoted by ΓR,M as undirected simple graph whose two parts of vertices are R\CR(M) and M \CM(R) and two distinct vertices x and y are adjacent if xy ̸= yx, where CR(M) is the set of elements of R that commute with all elements in M. Some graph theoretical properties of this graph stated in this paper.
Keywords
, Bi-module, diameter, girth, bipartite, planar, vertex and edge connectivity
@article{paperid:1071226,
author = {Fattahi, Zahra and Erfanian, Ahmad and A. Azimi},
title = {A bipartite graph associated to a Bi-module of a ring},
journal = {Italian Journal of Pure and Applied Mathematics},
year = {2018},
volume = {40},
number = {1},
month = {July},
issn = {1126-8042},
pages = {157--163},
numpages = {6},
keywords = {Bi-module; diameter; girth; bipartite; planar; vertex and edge connectivity},
}
%0 Journal Article
%T A bipartite graph associated to a Bi-module of a ring
%A Fattahi, Zahra
%A Erfanian, Ahmad
%A A. Azimi
%J Italian Journal of Pure and Applied Mathematics
%@ 1126-8042
%D 2018
