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Circular edge-colorings of cubic graphs with girth six
Affiliation:Institute for Theoretical Computer Science (ITI), Faculty of Mathematics and Physics, Charles University, Malostranské náměstí 25, 118 00 Prague 1, Czech Republic;Department of Computer Science, Faculty of Mathematics, Physics and Informatics, Comenius University, Mlynská dolina, 842 48 Bratislava, Slovakia;CNRS (LIAFA, Université Denis Diderot), Paris, France;Department of Applied Mathematics (KAM), Faculty of Mathematics and Physics, Charles University, Prague;Department of Applied Mathematics, Charles University, Czech Republic;Laboratoire Bordelais de Recherche en Informatique, University of Bordeaux, France
Abstract:We show that the circular chromatic index of a (sub)cubic graph with girth at least six is at most 7/2.
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