Energy and Vertex Energy of Modified Divisor Prime Graphs
Combinatorics
2026-05-07 v1 Number Theory
Abstract
This paper investigates the energy and vertex energy of the modified divisor prime graph , which is distinguished from the standard divisor prime graph by the inclusion of a self-loop at the vertex . To facilitate this analysis, we introduce a generalized definition of vertex energy for graphs with self-loops and demonstrate its mathematical consistency.
Cite
@article{arxiv.2605.04849,
title = {Energy and Vertex Energy of Modified Divisor Prime Graphs},
author = {Purva J. Makadiya and Mahesh M. Jariya and Prashant J. Makadiya},
journal= {arXiv preprint arXiv:2605.04849},
year = {2026}
}