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» Further Results on Swarms Solving Graph Coloring
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ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
14 years 2 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, ...
JSAT
2008
122views more  JSAT 2008»
13 years 8 months ago
SAT Algorithms for Colouring Some Special Classes of Graphs: Some Theoretical and Experimental Results
The local search algorithm GSAT is based on the notion of Satisfiability. It has been used successfully for colouring graphs, solving instances of the 3SAT problem, planning block...
Sriyankar Acharyya
JUCS
2006
94views more  JUCS 2006»
13 years 8 months ago
Completeness in the Boolean Hierarchy: Exact-Four-Colorability, Minimal Graph Uncolorability, and Exact Domatic Number Problems
: This paper surveys some of the work that was inspired by Wagner's general technique to prove completeness in the levels of the boolean hierarchy over NP and some related res...
Tobias Riege, Jörg Rothe
EOR
2010
133views more  EOR 2010»
13 years 8 months ago
A memetic algorithm for graph coloring
Given an undirected graph G = (V, E) with a set V of vertices and a set E of edges, the graph coloring problem consists of partitioning all vertices into k independent sets and th...
Zhipeng Lü, Jin-Kao Hao
ICALP
2005
Springer
14 years 2 months ago
Approximation Algorithms for the Max-coloring Problem
Given a graph G = (V, E) and positive integral vertex weights w : V → N, the max-coloring problem seeks to find a proper vertex coloring of G whose color classes C1, C2, . . . ,...
Sriram V. Pemmaraju, Rajiv Raman