|
|
|
|
Scalar Product Graphs of Modules
|
|
|
|
|
|
|
|
نویسنده
|
nouri jouybari m. ,talebi y. ,firouzian s.
|
|
منبع
|
international journal of nonlinear analysis and applications - 2019 - دوره : 10 - شماره : Special Issue - صفحه:75 -82
|
|
چکیده
|
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.
|
|
کلیدواژه
|
Scalar Product ,Graph ,Module
|
|
آدرس
|
university of mazandaran, department of mathematics, Iran, university of mazandaran, department of mathematics, Iran, payame noor university (pnu), department of mathematics, Iran
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|