On θ-commutators and the corresponding non-commuting graphs

Shalchi S.; Erfanian A.; Farrokhi DG M.

doi:10.1515/math-2017-0126

Open Mathematics (Dec 2017)

On θ-commutators and the corresponding non-commuting graphs

Shalchi S.,
Erfanian A.,
Farrokhi DG M.

Affiliations

Shalchi S.: Ferdowsi University of Mashhad, International Campus, P.O.Box 1159, 91775Mashhad, Iran
Erfanian A.: Department of Pure Mathematics and the Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, P.O.Box 1159, 91775Mashhad, Iran
Farrokhi DG M.: Department of Pure Mathematics and the Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, P.O.Box 1159, 91775Mashhad, Iran

DOI: https://doi.org/10.1515/math-2017-0126
Journal volume & issue: Vol. 15, no. 1
pp. 1530 – 1538

Abstract

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The θ-commutators of elements of a group with respect to an automorphism are introduced and their properties are investigated. Also, corresponding to θ-commutators, we define the θ-non-commuting graphs of groups and study their correlations with other notions. Furthermore, we study independent sets in θ-non-commuting graphs, which enable us to evaluate the chromatic number of such graphs.

Published in Open Mathematics

ISSN: 2391-5455 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/math/html

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