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IJCAI
2001
13 years 11 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»
13 years 9 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»
12 years 9 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»
14 years 4 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»
13 years 9 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...