幂零图

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。
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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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来源期刊
Theory and Applications of Graphs
Theory and Applications of Graphs Mathematics-Discrete Mathematics and Combinatorics
CiteScore
0.70
自引率
0.00%
发文量
17
审稿时长
20 weeks
期刊最新文献
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