Non-commuting graphs of rings-Reference-Cited by-同舟云学术

Non-commuting graphs of rings

Published:2015-09 Issue:03 Volume:07 Page:1550027
ISSN:1793-8309
Container-title:Discrete Mathematics, Algorithms and Applications
language:en
Short-container-title:Discrete Math. Algorithm. Appl.

Author:

Erfanian A.¹,Khashyarmanesh K.¹,Nafar Kh.¹

Affiliation:

1. Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159-91775, Mashhad, Iran

Abstract

Let R be a non-commutative ring and let C(R) be the center of R. The non-commuting graph ΓR of R associated to R is defined as a graph with R\C(R) as the vertices and two distinct vertices x and y are joined whenever xy ≠ yx. We study various graph theoretical properties of this graph.

Publisher

World Scientific Pub Co Pte Lt

Subject

Discrete Mathematics and Combinatorics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793830915500275

Reference18 articles.

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4. Non-commuting graph of a group

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