On the complexity of a restricted list-coloring problem
β Scribed by Moshe Dror; Gerd Finke; Sylvain Gravier; Wieslaw Kubiak
- Book ID
- 108316282
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 355 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0012-365X
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## Abstract We construct graphs with lists of available colors for each vertex, such that the size of every list exceeds the maximum vertexβcolor degree, but there exists no proper coloring from the lists. This disproves a conjecture of Reed. Β© 2002 Wiley Periodicals, Inc. J Graph Theory 41: 106β10
In the paper we consider a generalized vertex coloring model, namely T -coloring. For a given ΓΏnite set T of nonnegative integers including 0, a proper vertex coloring is called a T -coloring if the distance of the colors of adjacent vertices is not an element of T . This problem is a generalization