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MST
2010
98views more  MST 2010»
13 years 6 months ago
Why Almost All k-Colorable Graphs Are Easy to Color
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...
Amin Coja-Oghlan, Michael Krivelevich, Dan Vilench...
APPROX
2010
Springer
193views Algorithms» more  APPROX 2010»
13 years 10 months ago
Approximation Algorithms for the Directed k-Tour and k-Stroll Problems
We consider two natural generalizations of the Asymmetric Traveling Salesman problem: the k-Stroll and the k-Tour problems. The input to the k-Stroll problem is a directed n-verte...
MohammadHossein Bateni, Julia Chuzhoy
ICALP
1995
Springer
13 years 12 months ago
Intervalizing k-Colored Graphs
The problem to determine whether a given k-colored graph is a subgraph of a properly colored interval graph has an application in DNA physical mapping. In this paper, we study the...
Hans L. Bodlaender, Babette de Fluiter
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
13 years 6 months ago
Deciding k-Colorability of P5-Free Graphs in Polynomial Time
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...
Chính T. Hoàng, Marcin Kaminski, Vad...
WG
2004
Springer
14 years 1 months ago
Finding k Disjoint Triangles in an Arbitrary Graph
We consider the NP-complete problem of deciding whether an input graph on n vertices has k vertex-disjoint copies of a fixed graph H. For H = K3
Mike Fellows, Pinar Heggernes, Frances A. Rosamond...