A Note on Integral Non-Commuting Graphs

A Note on Integral Non-Commuting Graphs

The non-commuting graph Γ(G) of group G is a graph with the vertex set G - Z(G) and two distinct vertices x and y are adjacent whenever xy ≠ yx. The aim of this paper is to study integral regular non-commuting graphs of valency at most 16.

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Veröffentlicht in:Filomat 2017-01, Vol.31 (3), p.663-669
Hauptverfasser: Ghorbani, Modjtaba, Gharavi-Alkhansari, Zahra
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Combinatorics
Eigenvalues
Graph theory
Integers
Mathematical integrals
Prime numbers
Spectral graph theory
Vertices
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Zusammenfassung:The non-commuting graph Γ(G) of group G is a graph with the vertex set G - Z(G) and two distinct vertices x and y are adjacent whenever xy ≠ yx. The aim of this paper is to study integral regular non-commuting graphs of valency at most 16.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1703663G