ENERGY OF NON-COPRIME GRAPH ON MODULO GROUP

  • Gusti Yogananda Karang Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Mataram, Indonesia https://orcid.org/0009-0004-4589-2548
  • I Gede Adhitya Wisnu Wardhana Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Mataram, Indonesia https://orcid.org/0000-0002-1983-1619
  • Manimaran Angamuthu Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, India https://orcid.org/0000-0001-6717-1152
DOI: https://doi.org/10.30598/barekengvol19iss4pp2937-2952
Keywords: C Non-Coprime Graph, Graph Energy, Graph Theory, Modulo Group

Abstract

A graph is a mathematical structure consisting of a non-empty set of vertices and a set of edges connecting these vertices. In recent years, extensive research on graphs has been conducted, with one of the intriguing topics being the representation of graphs within algebraic structures, particularly groups. This approach bridges two areas of mathematics: graph theory and algebra. This study focuses on graph representation, specifically non-coprime graphs in the group of integers modulo ​, where ,  is a prime number, and  is a non-negative integer. The non-coprime graph of a group  is defined as a graph with the vertex set , where  is the identity element of . Two distinct vertices  and  are connected by an edge if . Specifically, this research investigates the Sombor energy, the Degree Sum energy, the Degree Exponent Sum energy, the Laplacian energy, the Distance Laplacian energy, and the Distance Signless Laplacian energy of a non-coprime graph on a modulo group.

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Published
2025-09-01
How to Cite
[1]
G. Y. Karang, I. G. A. Wisnu Wardhana, and M. Angamuthu, “ENERGY OF NON-COPRIME GRAPH ON MODULO GROUP”, BAREKENG: J. Math. & App., vol. 19, no. 4, pp. 2937-2952, Sep. 2025.
Issue
Vol 19 No 4 (2025): BAREKENG: Journal of Mathematics and Its Application
Section
Articles

Copyright (c) 2025 I Gede Adhitya Wisnu Wardhana, Gusti Yogananda Karang, Manimaran Angamuthu

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