Title of article
Scalar Product 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
Pages
8
From page
75
To page
82
Abstract
Let R be a commutative ring with identity and M an R-module. The Scalar-Product Graph of M
is defined as the graph GR(M) with the vertex set M and two distinct vertices x and y are adjacent
if and only if there exist r or s belong to R such that x = ry or y = sx. In this paper , we discuss
connectivity and planarity of these graphs and computing diameter and girth of GR(M). Also we
show some of these graphs is weakly perfect.
Keywords
Module , Graph , Scalar Product
Serial Year
2019
Record number
2493762
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