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» Intervalizing k-Colored Graphs
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ICALP
1995
Springer
15 years 3 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
ICCI
1991
15 years 3 months ago
On the k-Coloring of Intervals
The problem of coloring a set of n intervals (from the real line) with a set of k colors is studied. In such a coloring, two intersecting intervals must receive distinct colors. O...
Martin C. Carlisle, Errol L. Lloyd
DAM
2007
94views more  DAM 2007»
15 years 6 days ago
The harmonious coloring problem is NP-complete for interval and permutation graphs
In this paper, we prove that the harmonious coloring problem is NP-complete for connected interval and permutation graphs. Given a simple graph G, a harmonious coloring of G is a ...
Katerina Asdre, Kyriaki Ioannidou, Stavros D. Niko...
110
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MST
2010
98views more  MST 2010»
14 years 10 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...
130
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ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
14 years 10 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...