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» A memetic algorithm for graph coloring
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JGAA
2000
179views more  JGAA 2000»
15 years 3 months ago
Approximation Algorithms for Some Graph Partitioning Problems
This paper considers problems of the following type: given an edgeweighted k-colored input graph with maximum color class size c, find a minimum or maximum c-way cut such that eac...
George He, Jiping Liu, Cheng Zhao
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
15 years 8 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
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...
Jérôme Monnot, Vangelis Th. Paschos, ...
AAIM
2008
Springer
131views Algorithms» more  AAIM 2008»
15 years 9 months ago
Approximating Maximum Edge 2-Coloring in Simple Graphs Via Local Improvement
We present a polynomial-time approximation algorithm for legally coloring as many edges of a given simple graph as possible using two colors. It achieves an approximation ratio of ...
Zhi-Zhong Chen, Ruka Tanahashi
ESA
2006
Springer
134views Algorithms» more  ESA 2006»
15 years 6 months ago
Graph Coloring with Rejection
We consider the following vertex coloring problem. We are given an undirected graph G = (V, E), where each vertex v is associated with a penalty rejection cost rv. We need to choos...
Leah Epstein, Asaf Levin, Gerhard J. Woeginger
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
15 years 1 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...