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At the end of the spectrum: chromatic bounds for the largest eigenvalue of the normalized Laplacian

For a graph with largest normalized Laplacian eigenvalue λ _N and (vertex) coloring number χ , it is known that $\lambda_N\unicode{x2A7E} \chi/(\chi-1)$ . Here we prove properties of graphs for which this bound is sharp, and we study the multiplicity of $\chi/(\chi-1)$ . We then describe a family of...

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Autors principals: Lies Beers, Raffaella Mulas
Format: Artigo
Idioma:Inglês
Publicat: IOP Publishing 2025-01-01
Col·lecció:Journal of Physics: Complexity
Matèries:
Accés en línia:https://doi.org/10.1088/2632-072X/adcc71
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