Unified Spectral Bounds on the Chromatic Number

One of the best known results in spectral graph theory is the following lower bound on the chromatic number due to Alan Hoffman, where μ1 and μn are respectively the maximum and minimum eigenvalues of the adjacency matrix: χ ≥ 1+μ1/−μn. We recently generalised this bound to include all eigenvalues o...

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Bibliographic Details
Main Authors: Elphick Clive, Wocjan Pawel
Format: Article
Language:English
Published: University of Zielona Góra 2015-11-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1835