64 search results - page 1 / 13 » Deciding k-Colorability of P5-Free Graphs in Polynomial Time |
ALGORITHMICA
2010
13 years 2 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
13 years 9 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 2 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
13 years 11 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
13 years 9 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...