On Shortest Path Problems with “Non-Markovian” Link Contribution to Path Lengths

  • Arunabha Sen
  • K. Selçuk Candan
  • Afonso Ferreira
  • Bruno Beauquier
  • Stephane Perennes
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1815)


In this paper we introduce a new class of shortest path problems, where the contribution of a link to the path length computation depends not only on the weight of that link but also on the weights of the links already traversed. This class of problems may be viewed as “non-Markovian”. We consider a specific problem that belong to this class, which is encountered in the multimedia data transmission domain. We consider this problem under different conditions and develop algorithms. The shortest path problem in multimedia data transmission environment can be solved in O(n 2) or O(n 3) computational time.


Short Path Path Length Source Node Destination Node Short Path Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Arunabha Sen
    • 1
  • K. Selçuk Candan
    • 1
  • Afonso Ferreira
    • 2
  • Bruno Beauquier
    • 2
  • Stephane Perennes
    • 2
  1. 1.Department of Computer Science and EngineeringArizona State UniversityTempeUSA
  2. 2.SLOOP, CNRS - INRIA - UNSASophia-AntipollisFrance

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