In this paper we consider the graphs having at most two (signless) Laplacian eigenvalues greater than 2. We prove that all these graphs are determined by the spectrum of their Laplacian matrix, and that all these graphs except the star on four vertices are determined by the spectrum of their signless Laplacian matrix.
Spectral characterizations of graphs with at most two (signless) Laplacian eigenvalues greater than 2 / Feng, Xiyuan; Wang, Jianfeng; Belardo, Francesco. - In: ARS COMBINATORIA. - ISSN 0381-7032. - 139:(2018), pp. 43-54.
Spectral characterizations of graphs with at most two (signless) Laplacian eigenvalues greater than 2
Francesco Belardo
2018
Abstract
In this paper we consider the graphs having at most two (signless) Laplacian eigenvalues greater than 2. We prove that all these graphs are determined by the spectrum of their Laplacian matrix, and that all these graphs except the star on four vertices are determined by the spectrum of their signless Laplacian matrix.File in questo prodotto:
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