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APPROX
2011
Springer
242views Algorithms» more  APPROX 2011»
12 years 4 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
ALGORITHMICA
2008
142views more  ALGORITHMICA 2008»
13 years 4 months ago
New Linear-Time Algorithms for Edge-Coloring Planar Graphs
We show efficient algorithms for edge-coloring planar graphs. Our main result is a linear-time algorithm for coloring planar graphs with maximum degree with max{, 9} colors. Thus...
Richard Cole, Lukasz Kowalik
AUSAI
2003
Springer
13 years 9 months ago
A New Hybrid Genetic Algorithm for the Robust Graph Coloring Problem
Abstract. The RGCP (Robust Graph Coloring problem) is a new variant of the traditional graph coloring problem. It has numerous practical applications in real world like timetabling...
Ying Kong, Fan Wang, Andrew Lim, Songshan Guo
AUSAI
2004
Springer
13 years 9 months ago
A New Neighborhood Based on Improvement Graph for Robust Graph Coloring Problem
In this paper, we propose a new neighborhood structure based on the improvement graph for solving the Robust Graph Coloring Problem, an interesting extension of classical graph col...
Songshan Guo, Ying Kong, Andrew Lim, Fan Wang
ENDM
2006
127views more  ENDM 2006»
13 years 4 months ago
Greedy defining sets in graphs and Latin squares
Greedy algorithm sometimes uses more than (G) colors while coloring a graph G. A greedy defining set is an object to eliminate these extra colors so that the greedy coloring resul...
Manouchehr Zaker