On the Vertex Seidel Energy of Graphs
Spectral Theory
2026-02-23 v1 Combinatorics
Abstract
We introduce the vertex Seidel energy via the diagonal entries of the absolute Seidel matrix. We establish a spectral formula, compute exact values for several graph families, derive bounds, and present a Coulson-type integral representation for analytical study of this invariant. We also show that vertex Seidel energy is invariant under Seidel switching and complementation.
Cite
@article{arxiv.2602.17741,
title = {On the Vertex Seidel Energy of Graphs},
author = {Kalpesh M. Popat and Enide Andrade},
journal= {arXiv preprint arXiv:2602.17741},
year = {2026}
}
Comments
17 pages