Onθ-commutators and the corresponding non-commuting graphs

• Autorzy: S. Shalchi , A. Erfanian , M. Farrokhi DG
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Commutator; Automorphism; Independence number; Chromatic number; Multipartite graph

Kategorie tematyczne

• 05C25: Graphs and abstract algebra (groups, rings, fields, etc.)
• 05C15: Coloring of graphs and hypergraphs
• 20D45: Automorphisms
• 05C69: Dominating sets, independent sets, cliques
• 20F12: Commutator calculus

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1530-1538

Daty

wydano

2017-01-01

otrzymano

2017-05-05

zaakceptowano

2017-09-27

online

2017-12-29

Twórcy

autor

S. Shalchi

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autor

A. Erfanian

• , , ,

autor

M. Farrokhi DG

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Identyfikatory

DOI

10.1515/math-2017-0126