All signed graphs with not more than two Laplacian-eigenvalues larger than 2 are structurally identified. It turns out that none of them have Laplacian cospectral graphs which are not switching isomorphic, with the exception of a few that have unbalanced triangles or stars among their components
Laplacian spectral characterization of signed graphs whose third L-eigenvalue is small / Brunetti, Maurizio; Li, Mengge; Wang, Jianfeng. - In: RICERCHE DI MATEMATICA. - ISSN 1827-3491. - 75:1(2026), pp. 595-604. [10.1007/s11587-025-01040-1]
Laplacian spectral characterization of signed graphs whose third L-eigenvalue is small
Maurizio Brunetti
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2026
Abstract
All signed graphs with not more than two Laplacian-eigenvalues larger than 2 are structurally identified. It turns out that none of them have Laplacian cospectral graphs which are not switching isomorphic, with the exception of a few that have unbalanced triangles or stars among their componentsFile in questo prodotto:
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