Fractional Coloring Methods with Applications to Degenerate Graphs and Graphs on Surfaces
Author(s) -
John Gimbel,
André Kündgen,
Binlong Li,
Carsten Thomassen
Publication year - 2019
Publication title -
siam journal on discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.843
H-Index - 66
eISSN - 1095-7146
pISSN - 0895-4801
DOI - 10.1137/18m1177317
Subject(s) - combinatorics , mathematics , conjecture , upper and lower bounds , chromatic scale , planar graph , brooks' theorem , graph , degenerate energy levels , edge coloring , discrete mathematics , critical graph , chordal graph , 1 planar graph , graph power , line graph , mathematical analysis , physics , quantum mechanics
We study methods for finding strict upper bounds on the fractional chromatic number $\chi_f(G)$ of a graph $G$. We illustrate these methods by providing short proofs of known inequalities in connec...
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