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» Orthogonal Colorings of Graphs
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TAMC
2010
Springer
15 years 6 months ago
Incremental List Coloring of Graphs, Parameterized by Conservation
Incrementally k-list coloring a graph means that a graph is given by adding stepwise one vertex after another, and for each intermediate step we ask for a vertex coloring such that...
Sepp Hartung, Rolf Niedermeier
ESA
2006
Springer
134views Algorithms» more  ESA 2006»
15 years 5 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
JCT
2008
81views more  JCT 2008»
15 years 1 months ago
Algebraic characterization of uniquely vertex colorable graphs
Abstract. The study of graph vertex colorability from an algebraic perspective has introduced novel techniques and algorithms into the field. For instance, it is known that k-color...
Christopher J. Hillar, Troels Windfeldt
131
Voted
JUCS
2002
123views more  JUCS 2002»
15 years 1 months ago
Synchronization and Stability of Finite Automata
: Let G = (V, E) be a strongly connected and aperiodic directed graph of uniform out-degree k. A deterministic finite automaton is obtained if the edges are colored with k colors i...
Jarkko Kari
118
Voted
NIPS
2008
15 years 3 months ago
Counting Solution Clusters in Graph Coloring Problems Using Belief Propagation
We show that an important and computationally challenging solution space feature of the graph coloring problem (COL), namely the number of clusters of solutions, can be accurately...
Lukas Kroc, Ashish Sabharwal, Bart Selman