Scalar Product Graphs of Modules
نویسندگان
چکیده مقاله:
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.
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عنوان ژورنال
دوره 10 شماره Special Issue ( Nonlinear Analysis in Engineering and Sciences)
صفحات 75- 82
تاریخ انتشار 2019-12-01
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