TY - JOUR
ID - 4398
TI - Scalar Product Graphs of Modules
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Nouri Jouybari, M.
AU - Talebi, Y.
AU - Firouzian, S.
AD - Department of Mathematics, University of Mazandaran, Babolsar, Iran
AD - Department of Mathematics, Payame Noor University (PNU), Tehran, Iran
Y1 - 2019
PY - 2019
VL - 10
IS - Special Issue ( Nonlinear Analysis in Engineering and Sciences)
SP - 75
EP - 82
KW - Scalar Product
KW - Graph
KW - Module
DO - 10.22075/ijnaa.2019.4398
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_4398.html
L1 - https://ijnaa.semnan.ac.ir/article_4398_64d6b7e17ebef0902821a02c189f188e.pdf
ER -