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EXTENDING FRACTIONAL PRECOLORINGS
Autoři | |
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Rok publikování | 2012 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | SIAM Journal on Discrete Mathematics |
Citace | |
Doi | http://dx.doi.org/10.1137/110828988 |
Klíčová slova | fractional coloring; precoloring extension |
Popis | For every d >= 3 and k is an element of {2} boolean OR [3,infinity), we determine the smallest e such that every fractional (k+epsilon)-precoloring of vertices at mutual distance at least d of a graph G with fractional chromatic number equal to k can be extended to a proper fractional (k+epsilon)-coloring of G. Our work complements analogous results of Albertson for ordinary colorings and those of Albertson and West for circular colorings. |