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Hamiltonian Cycle Problem via Markov Chains and Min-type Approaches

  • Mikhail Andramonov
  • Jerzy Filar
  • Panos Pardalos
  • Alexander Rubinov
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 42)

Abstract

Given a directed graph and a given starting node, the Hamiltonian Cycle Problem (HCP) is to find a path that visits every other node exactly once before returning to the starting node. In this paper we solve the HCP via Markov chains and min-type functions. In addition, we present preliminary computational results with randomly generated graphs of moderate size.

Keywords

Hamiltonian Cycle Problem Markov Chains Minimax Optimization. 

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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Mikhail Andramonov
    • 1
  • Jerzy Filar
    • 2
  • Panos Pardalos
    • 3
  • Alexander Rubinov
    • 1
  1. 1.School of Information Technology and Mathematical SciencesUniversity of BallaratVictoriaAustralia
  2. 2.School of MathematicsUniversity of South AustraliaThe LevelsAustralia
  3. 3.Center for Applied Optimization and ISE DepartmentUniversity of FloridaGainesvilleUSA

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