Title of article
Weighted graphs: Eigenvalues and chromatic number
Author/Authors
Delorme, C. University Paris Sud, France
From page
8
To page
17
Abstract
We revisit Hoffman relation involving chromatic number (chi) and eigenvalues. We construct some graphs and weighted graphs such that the largest and smallest eigenvalues λ dan µ satisfy λ = (1- (chi) )µ: We study in particular the eigenvalues of the integer simplex T2m ; a 3-chromatic graph on (m+2 2)vertices.
Keywords
chromatic number , eigenvalues , weighted graphs
Journal title
Electronic Journal of Graph Theory and Applications (EJGTA)
Journal title
Electronic Journal of Graph Theory and Applications (EJGTA)
Record number
2553693
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