3-choosability of planar graphs with(⩽4)-cycles far apart
نویسندگان
چکیده
منابع مشابه
3-choosability of Planar Graphs with ( 4)-cycles Far Apart
A graph is k-choosable if it can be colored whenever every vertex has a list of at least k available colors. We prove that if cycles of length at most four in a planar graph G are pairwise far apart, then G is 3-choosable. This is analogous to the problem of Havel regarding 3-colorability of planar graphs with triangles far apart.
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 2014
ISSN: 0095-8956
DOI: 10.1016/j.jctb.2013.10.004