TY - JOUR

T1 - On the complexity of a restricted list-coloring problem

AU - Dror, Moshe

AU - Finke, Gerd

AU - Gravier, Sylvain

AU - Kubiak, Wieslaw

N1 - Funding Information:
* Corresponding author. Tel.: 33 04 76 57 45 00; fax: 33 04 76 57 46 02; e-mail: gerd.finke@imag.fr. I Research supported by a TEMPRA program France under grant GLM6C001. e On leave from the Faculty of Business Administration, Memorial University of Newfoundland, St. John's, Newfoundland, Canada.

PY - 1999

Y1 - 1999

N2 - 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 script N sign 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.

AB - 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 script N sign 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.

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U2 - 10.1016/S0012-365X(98)00169-1

DO - 10.1016/S0012-365X(98)00169-1

M3 - Article

AN - SCOPUS:0347366240

VL - 195

SP - 103

EP - 109

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

IS - 1-3

ER -