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arxiv: 1804.08937 · v1 · pith:TGVSFTXYnew · submitted 2018-04-24 · 🧮 math.RA · math.CO

Nilpotent Graph

classification 🧮 math.RA math.CO
keywords nilpotentgraphringadjacentarticlecommutativeconceptdiscuss
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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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