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On-Line Maximum Matching in Complete Multipartite Graphs with Implications to the Minimum ADM Problem on a Star Topology

  • Mordechai Shalom
  • Prudence W. H. Wong
  • Shmuel Zaks
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5869)

Abstract

One of the basic problems in optical networks is assigning wavelengths to (namely, coloring of) a given set of lightpaths so as to minimize the number of ADM switches. In this paper we present a connection between maximum matching in complete multipartite graphs and ADM minimization in star networks. A tight 2/3 competitive ratio for finding a maximum matching implies a tight 10/9 competitive ratio for finding a coloring that minimizes the number of ADMs.

Keywords

Online Matching Multi-Partite Graphs Wavelength Assignment Wavelength Division Multiplexing (WDM) Optical Networks Add-Drop Multiplexer (ADM) 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Mordechai Shalom
    • 1
  • Prudence W. H. Wong
    • 2
  • Shmuel Zaks
    • 3
  1. 1.TelHai Academic CollegeUpper GalileeIsrael
  2. 2.Department of Computer ScienceThe University of LiverpoolLiverpoolUK
  3. 3.Department of Computer ScienceTechnionHaifaIsrael

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