Energy of commuting graph of finite groups whose centralizers are Abelian

Energy of commuting graph of finite groups whose centralizers are Abelian

Let $\Gamma$ be a graph with the adjacency matrix $A$. The energy of $\Gamma$ is the sum of the absolute values of the eigenvalues of $A$. In this article we compute the energies of the commuting graphs of some finite groups and discuss some consequences.

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Hauptverfasser: Sharafdini, Reza, Nath, Rajat Kanti, Darbandi, Rezvan
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
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Zusammenfassung:Let $\Gamma$ be a graph with the adjacency matrix $A$. The energy of $\Gamma$ is the sum of the absolute values of the eigenvalues of $A$. In this article we compute the energies of the commuting graphs of some finite groups and discuss some consequences.
DOI:10.48550/arxiv.1704.06464