Title
On the complexity of a restricted list-coloring problem
Abstract
We investigate a restricted list-coloring problem. Given a graph G = ( V , E ), a non empty set of colors L , and a nonempty subset L ( v ) of L for each vertex v , find an L -coloring of G with the size of each class of colors being equal to a given integer. This restricted list-coloring problem was proposed by de Werra. We prove that this problem is N P-Complete even if the graph is a path with at most two colors on each vertex list. We then give a polynomial algorithm which solves this problem for the case where the total number of colors occurring in all lists is fixed.
Year
DOI
Venue
1999
10.1016/S0012-365X(98)00169-1
Discrete Mathematics
Keywords
Field
DocType
restricted list-coloring problem,list coloring
Integer,Complete coloring,Discrete mathematics,Empty set,Combinatorics,Fractional coloring,Vertex (geometry),List coloring,Vertex cover,Feedback vertex set,Mathematics
Journal
Volume
Issue
ISSN
195
1-3
Discrete Mathematics
Citations 
PageRank 
References 
7
0.61
1
Authors
4
Name
Order
Citations
PageRank
Moshe Dror157464.77
Gerd Finke218115.63
Sylvain Gravier348659.01
Wieslaw Kubiak454062.61