Some distance-based topological indices of a non-commuting graph

Key Findings & Data:The noncommuting graph of G, $Gamma$(G), is a graph with vertex set G Z(G) and two distinct vertices x and y are adjacent if and only if xy 6= yx.

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Conclusion & Impact:In this paper the Hyper-Wiener, Schultz, Gutman, eccentric connectivity and Zagreb group indices of this graph are computed.

🔬Design:Research Article

📍Scope:Comprehensive Sample

⚙️Variables:Domain Parameters

Abstract

Let G be a non-Abelian group and let Z(G) be the center of G. The noncommuting graph of G, $Gamma$(G), is a graph with vertex set G Z(G) and two distinct vertices x and y are adjacent if and only if xy 6= yx. In this paper the Hyper-Wiener, Schultz, Gutman, eccentric connectivity and Zagreb group indices of this graph are computed.

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Cite This Article

MİRZARGAR, M., ASHRAFİ, A. (2022). Some distance-based topological indices of a non-commuting graph. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 4, 515–526. https://ajindex.com/articles/530505

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