Nilpotent graphs with crosscap at most two

Let R be a commutative ring with identity. The nilpotent graph of R, denoted by Γ N ( R ) , is a graph with vertex set Z N ( R ) ∗ , and two vertices x and y are adjacent if and only if x y is nilpotent, where Z N ( R ) = { x ∈ R : x y is nilpotent, for some y ∈ R ∗ } . In this paper, we characteriz...

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Bibliographic Details
Main Authors: A. Mallika, R. Kala
Format: Article
Language:English
Published: Taylor & Francis Group 2018-12-01
Series:AKCE International Journal of Graphs and Combinatorics
Online Access:http://www.sciencedirect.com/science/article/pii/S0972860017301032