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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 | ||
| تاریخ دریافت: 14 خرداد 1398، تاریخ بازنگری: 22 شهریور 1398، تاریخ پذیرش: 07 مهر 1398 | ||
| 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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