On the Diameter, Girth and Coloring of the Strong Zero‑Divisor Graph of Near‑rings

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2016-12-23 DOI:10.5666/KMJ.2016.56.4.1103

P. Das

引用次数: 2

Abstract

. In this paper, we study a directed simple graph Γ s ( N ) for a near-ring N , where the set V ∗ ( N ) of vertices is the set of all left N -subsets of N with nonzero left annihilators and for any two distinct vertices I, J ∈ V ∗ ( N ), I is adjacent to J if and only if IJ = 0. Here, we deal with the diameter, girth and coloring of the graph Γ s ( N ). Moreover, we prove a suﬃcient condition for occurrence of a regular element of the near-ring N in the left annihilator of some vertex in the strong zero-divisor graph Γ s ( N ).

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近环强零因子图的直径、周长和着色

．在这篇文章里,我们研究a导演简单graphΓs (N) for a near-ring N套V∗(N)》,哪里vertices集》是所有左派N的-subsets nonzero左annihilators和为任何两个distinct vertices I, J∈V∗(N), I '是adjacent to J如果只和如果IJ = 0。这里,我们成交直径,girth》和《coloring graphΓs (N)。而且,我们证明a suﬃcient condition for occurrence of a常规编程元素of near-ring N》境之左者一些vertex坚强zero-divisor graphΓs (N)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.