Scalar Product Graphs of Modules

	Scalar Product Graphs of Modules
International Journal of Nonlinear Analysis and Applications
مقاله 7، دوره 10، Special Issue ( Nonlinear Analysis in Engineering and Sciences)، اسفند 2019، صفحه 75-82 اصل مقاله (163.87 K)
نوع مقاله: Special issue editorial
شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.4398
نویسندگان
M. Nouri Jouybari¹؛ Y. Talebi^* ¹؛ S. Firouzian²
¹Department of Mathematics, University of Mazandaran, Babolsar, Iran
²Department of Mathematics, Payame Noor University (PNU), Tehran, Iran
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.
کلیدواژه‌ها
Scalar Product؛ Graph؛ Module
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