SPECTRAL PROPERTIES OF PRIME COPRIME GRAPH FOR INTEGERS MODULO GROUP AND ITS STATISTICAL PERSPECTIVES

Document Type : Original Manuscript

Authors

1 Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Mataram, Mataram 83125, Indonesia.

2 Department of Statistics, Faculty of Mathematics and Natural Sciences, University of Mataram, Mataram 83125, Indonesia.

3 Department of Mathematics, College of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq.

10.22044/jas.2025.15223.1900

Abstract

The prime coprime graph of a group is a graph whose vertices are elements of the group. In this paper, we provide the energy formula of a prime coprime graph for integers modulo group corresponding to those matrices. We also study the relationships between those energies, their spectral radius, and their statistical views. It should be noted that the energies obtained in this paper are never odd integers.

Keywords

References

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Journal of Algebraic Systems
Volume 14, Issue 4
September 2026
Pages 629-648

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