Solving the longest simple path problem with constraint-based techniques

  • Authors:
  • Quang Dung Pham;Yves Deville

  • Affiliations:
  • School of Information and Communication Technology, Hanoi University of Science and Technology, Hanoi, Vietnam;ICTEAM Institute, Université catholique de Louvain, Louvain-la-Neuve, Belgium

  • Venue:
  • CPAIOR'12 Proceedings of the 9th international conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems
  • Year:
  • 2012

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Abstract

The longest simple path problem on graphs arises in a variety of context, e.g., information retrieval, VLSI design, robot patrolling. Given an undirected weighted graph G =(V ,E ), the problem consists of finding the longest simple path (i.e., no vertex occurs more than once) on G . We propose in this paper an exact and a tabu search algorithm for solving this problem. We show that our techniques give competitive results on different kinds of graphs, compared with recent genetic algorithms.