64 search results - page 1 / 13 » Deciding k-Colorability of P5-Free Graphs in Polynomial Time |
ALGORITHMICA
2010
13 years 9 months ago
2010
The problem of computing the chromatic number of a P5-free graph (a graph which contains no path on 5 vertices as an induced subgraph) is known to be NP-hard. However, we show tha...
MFCS
2005
Springer
14 years 4 months ago
2005
Springer
Abstract. Feige and Kilian [5] showed that finding reasonable approximative solutions to the coloring problem on graphs is hard. This motivates the quest for algorithms that eithe...
MST
2010
13 years 9 months ago
2010
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
APPROX
2009
Springer
14 years 5 months ago
2009
Springer
We study the maximization version of the fundamental graph coloring problem. Here the goal is to color the vertices of a k-colorable graph with k colors so that a maximum fraction ...
ISAAC
2004
Springer
14 years 4 months ago
2004
Springer
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...