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DAM
2007
94views more  DAM 2007»
13 years 10 months 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...
CPM
2009
Springer
127views Combinatorics» more  CPM 2009»
14 years 5 months ago
Deconstructing Intractability: A Case Study for Interval Constrained Coloring
The NP-hard Interval Constrained Coloring problem appears in the interpretation of experimental data in biochemistry dealing with protein fragments. Given a set of m integer interv...
Christian Komusiewicz, Rolf Niedermeier, Johannes ...
LATIN
2010
Springer
13 years 9 months ago
The Interval Constrained 3-Coloring Problem
Abstract In this paper, we settle the open complexity status of interval constrained coloring with a fixed number of colors. We prove that the problem is already NP-complete if th...
Jaroslaw Byrka, Andreas Karrenbauer, Laura Sanit&a...
WEA
2004
Springer
117views Algorithms» more  WEA 2004»
14 years 4 months ago
Approximating Interval Coloring and Max-Coloring in Chordal Graphs
Sriram V. Pemmaraju, Sriram Penumatcha, Rajiv Rama...
ICCI
1991
14 years 2 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