On the Vertex Seidel Energy of Graphs

Published 19 Feb 2026 in math.SP and math.CO | (2602.17741v1)

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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