Rechercher

[BP06] Feasible node colorings of trees with cardinality constraints

Rapport Scientifique : Date de dépot: 2006/01/01, (Tech. Rep.: CEDRIC-06-987)
motcle:
Résumé: Given a tree T with n vertices and three nonnegative integers (n1,n2,n3) such that n1+n2+n3=n, our goal is to find a 3-coloring of T such that each color class i contains ni nodes i=1,2,3. Using a dynamic programming approach we show that this problem can be solved in time O(n5 log n). We also show that our algorithm can be adapted to the case of k-colorings for fixed k.

Commentaires: Submitted

BibTeX

@techreport {
BP06,
title="{Feasible node colorings of trees with cardinality constraints}",
author="C. Bentz and C. Picouleau",
number="{CEDRIC-06-987}",
institution="{CEDRIC laboratory, CNAM-Paris, France}",
date={01-01-2006},
note="{Submitted}",
}