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arXiv · 2602.17741

On the Vertex Seidel Energy of Graphs

Kalpesh M. Popat·Enide Andrade
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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.

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Kalpesh M. Popat, Enide Andrade. 2026-02-19. On the Vertex Seidel Energy of Graphs. https://arxiv.org/abs/2602.17741

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