Weighted graphs: Eigenvalues and chromatic number

<p>We revisit Hoffman relation involving chromatic number $\chi$ and eigenvalues. We construct some graphs and weighted graphs such that the largest and smallest eigenvalues $\lambda$ dan $\mu$ satisfy $\lambda=(1-\chi)\mu.$ We study in particular the eigenvalues of the integer simplex $T_m^2,...

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Bibliographic Details
Main Author: Charles Delorme
Format: Article
Language:English
Published: Indonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Australia; Institut Teknologi Bandung (ITB), Indonesia 2016-04-01
Series:Electronic Journal of Graph Theory and Applications
Subjects:
Online Access:https://www.ejgta.org/index.php/ejgta/article/view/62