Publication details

EXTENDING FRACTIONAL PRECOLORINGS

Authors

KRÁĽ Daniel KRNC M KUPEC M LUZAR B VOLEC J

Year of publication 2012
Type Article in Periodical
Magazine / Source SIAM Journal on Discrete Mathematics
Citation
Doi http://dx.doi.org/10.1137/110828988
Keywords fractional coloring; precoloring extension
Description 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.

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