More Tales of Hoffman: Bounds for the Vector Chromatic Number of a Graph

Let χ(G) denote the chromatic number of a graph and χv(G) denote the vector chromatic number. For all graphs χv(G) ≤ χ(G) and for some graphs χv(G) ≪ χ(G). Galtman proved that Hoffman’s well-known lower bound for χ(G) is in fact a lower bound for χv(G). We prove that two more spectral lower bounds f...

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Bibliographic Details
Main Authors: Wocjan Pawel, Elphick Clive, Anekstein David
Format: Article
Language:English
Published: University of Zielona Góra 2023-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2358