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2017•AIP conference proceedingsRequires access

On the energy of non-commuting graph of dihedral groups

Rabiha Mahmoud, Nor Haniza Sarmin, Ahmad Erfanian

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Abstract

In mathematics, the energy of a graph is the sum of the values of the eigenvalues of the adjacency matrix of the graph. This quantity is studied in the context of spectral graph theory. In this paper the concepts of non-commuting graph of dihedral groups are presented and the general formula for the energy of this associated graph is found.

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What this paper is about

In mathematics, the energy of a graph is the sum of the values of the eigenvalues of the adjacency matrix of the graph. This quantity is studied in the context of spectral graph theory. In this paper the concepts of non-commuting graph of dihedral groups are presented and the general formula for the energy of this associated graph is found.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In mathematics, the energy of a graph is the sum of the values of the eigenvalues of the adjacency matrix of the graph. This quantity is studied in the context of spectral graph theory. In this paper the concepts of non-commuting graph of dihedral groups are presented and the general formula for the energy of this associated graph is found.

Key concepts: Graph energy, Adjacency matrix, Voltage graph, Regular graph, Spectral graph theory, Dihedral group, Graph, Distance-regular graph

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