Title of article :
Weakly Perfect Graphs of Modules
Author/Authors :
Nouri Jouybari, M. Department of Mathematics - University of Mazandaran - Babolsar - Iran , Talebi, Y. Department of Mathematics - University of Mazandaran - Babolsar - Iran , Firouzian, S. Department of Mathematics - Payame Noor University (PNU) - Tehran - Iran
Abstract :
In this study, R and M are assumed to be a commutative ring with
non-zero identity M and an R-module, respectively. Scalar Product Graph
of M, denoted by GR(M), is a graph with the vertex-set M and two different
vertices a and b in M are connected if and only if there exists r belong to R
such that a = rb or b = ra. This paper studies some properties of such weakly
perfect graphs.
Keywords.
Keywords :
Scalar Product , Graph join , Weakly Perfect , Module
Journal title :
Control and Optimization in Applied Mathematics
