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Near-optimal list colorings

โœ Scribed by Michael Molloy; Bruce Reed


Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
223 KB
Volume
17
Category
Article
ISSN
1042-9832

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The following question was raised by Bruce Richter. Let G be a planar, 3-connected graph that is not a complete graph. Denoting by d(v) the degree of vertex v, is G L-list colorable for every list assignment L with |L(v)|=min{d(v), 6} for all v โˆˆ V (G)? More generally, we ask for which pairs (r, k)