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IJCAI
2001
15 years 1 months ago
Graph Theoretical Characterization and Computation of Answer Sets
We give a graph theoretical characterization of answer sets of normal logic programs. We show that there is a one-to-one correspondence between answer sets and a special, non-stan...
Thomas Linke
IPL
2000
111views more  IPL 2000»
14 years 11 months ago
On the performance of the first-fit coloring algorithm on permutation graphs
In this paper we study the performance of a particular on-line coloring algorithm, the First-Fit or Greedy algorithm, on a class of perfect graphs namely the permutation graphs. W...
Stavros D. Nikolopoulos, Charis Papadopoulos
APPROX
2011
Springer
242views Algorithms» more  APPROX 2011»
13 years 12 months ago
New Tools for Graph Coloring
How to color 3 colorable graphs with few colors is a problem of longstanding interest. The best polynomial-time algorithm uses n0.2072 colors. There are no indications that colori...
Sanjeev Arora, Rong Ge
ICANNGA
2007
Springer
141views Algorithms» more  ICANNGA 2007»
15 years 6 months ago
On Sum Coloring of Graphs with Parallel Genetic Algorithms
Abstract. Chromatic number, chromatic sum and chromatic sum number are important graph coloring characteristics. The paper proves that a parallel metaheuristic like the parallel ge...
Zbigniew Kokosinski, Krzysztof Kwarciany
SIAMDM
2008
143views more  SIAMDM 2008»
14 years 11 months ago
Coloring Bull-Free Perfectly Contractile Graphs
We consider the class of graphs that contain no bull, no odd hole, and no antihole of length at least five. We present a new algorithm that colors optimally the vertices of every g...
Benjamin Lévêque, Frédé...