Line Graph Associated to Graph of a Near-Ring with Respect to an Ideal

IF 0.7 Q2 MATHEMATICS
Moytri Sarmah
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引用次数: 0

Abstract

Let N be a near-ring and I be an ideal of N. The graph of N with respect to I is a graph with V (N ) as vertex set and any two distinct vertices x and y are adjacent if and only if xNy ⊆ I oryNx ⊆ I. This graph is denoted by GI(N). We define the line graph of GI(N) as a graph with each edge of GI (N ) as vertex and any two distinct vertices are adjacent if and only if their corresponding edges share a common vertex in the graph GI (N ). We denote this graph by L(GI (N )). We have discussed the diameter, girth, clique number, dominating set of L(GI(N)). We have also found conditions for the graph L(GI(N)) to be acycle graph.
关于理想的近环图的线形图
设N是一个近环,I是N的一个理想。N关于I的图是一个以V (N)为顶点集且任意两个不同的顶点x、y相邻的图,当且仅当xNy≥x≤x≥x≤x≤x≤x≤x≤N。我们将GI(N)的线形图定义为GI(N)的每条边作为顶点的图,且任意两个不同的顶点相邻当且仅当它们对应的边在图GI(N)中共享一个公共顶点。我们用L(GI (N))表示这个图。讨论了L(GI(N))的直径、周长、团数、支配集。我们还发现了图L(GI(N))为循环图的条件。
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来源期刊
CiteScore
1.50
自引率
0.00%
发文量
11
期刊介绍: To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.
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