幂零图

Q4 Mathematics Theory and Applications of Graphs Pub Date : 2018-04-24 DOI:10.20429/tag.2021.080102

D. Basnet, Ajay Sharma, Rahul Dutta

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引用次数: 2

摘要

本文引入了有限交换环的幂零图的概念。将环的所有非幂零元素的集合作为顶点集，并且两个顶点是相邻的当且仅当它们的和是幂零的。讨论了幂零图的一些图论性质。

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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Nilpotent Graph

In this article, we introduce the concept of nilpotent graph of a finite commutative ring. The set of all non nilpotent elements of a ring is taken as the vertex set and two vertices are adjacent if and only if their sum is nilpotent. We discuss some graph theoretic properties of nilpotent graph.

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