Repository logo

Infoscience

  • English
  • French
Log In
Logo EPFL, École polytechnique fédérale de Lausanne

Infoscience

  • English
  • French
Log In
  1. Home
  2. Academic and Research Output
  3. Journal articles
  4. A graph coloring heuristic using partial solutions and a reactive tabu scheme
 
research article

A graph coloring heuristic using partial solutions and a reactive tabu scheme

Bloechliger, Ivo
•
Zufferey, Nicolas
2008
Computers & Operations Research

Most of the recent heuristics for the graph coloring problem start from an infeasible k-coloring (adjacent vertices may have the same color) and try to make the solution feasible through a sequence of color exchanges. In contrast, our approach (called FOO-PARTIALCOL). which is based on tabu search, considers feasible but partial solutions and tries to increase the size of the cur-rent partial solution. A solution consists of k disjoint stable sets (and, therefore, is a feasible, partial k-coloring) and a set of uncolored vertices. We introduce a reactive tabu tenure which Substantially enhances the performance of both our heuristic as well as the classical tabu algorithm (called TABUCOL) proposed by Hertz and de Werra I Using tabu search techniques for graph coloring, Computing 1987:39:345-51]. We will report numerical results on different benchmark graphs and we will observe that FOO-PARTIALCOL, though very simple. outperforms TABUCOL on some instances, provides very competitive results on a set of benchmark graphs which are known to be difficult, and outperforms the best-known methods on the graph flat300_28_0. For this graph, FOO-PARTIALCOL finds an optimal coloring with 28 colors. The best coloring achieved to date uses 31 colors. Algorithms very close to TABUCOL are still used as intensification procedures in the best coloring methods, which are evolutionary heuristics. FOO-PARTIALCOL could then be a powerful alternative. In conclusion FOO-PARTIALCOL is one of the most efficient simple local search coloring methods yet available. (c) 2006 Elsevier Ltd. All rights reserved.

  • Details
  • Metrics
Type
research article
DOI
10.1016/j.cor.2006.05.014
Web of Science ID

WOS:000250256100025

Author(s)
Bloechliger, Ivo
Zufferey, Nicolas
Date Issued

2008

Published in
Computers & Operations Research
Volume

35

Start page

960

End page

975

Subjects

combinatorial optimization

•

graph coloring

•

tabu search

•

Search

•

Algorithms

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
ROSE  
Available on Infoscience
November 30, 2010
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/61681
Logo EPFL, École polytechnique fédérale de Lausanne
  • Contact
  • infoscience@epfl.ch

  • Follow us on Facebook
  • Follow us on Instagram
  • Follow us on LinkedIn
  • Follow us on X
  • Follow us on Youtube
AccessibilityLegal noticePrivacy policyCookie settingsEnd User AgreementGet helpFeedback

Infoscience is a service managed and provided by the Library and IT Services of EPFL. © EPFL, tous droits réservés