An Improved Approximation Algorithm for the Bandpass Problem

  • Weitian Tong
  • Randy Goebel
  • Wei Ding
  • Guohui Lin
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7285)


The general Bandpass-B problem is NP-hard and can be approximated by a reduction into the B-set packing problem, with a worst case performance ratio of O(B 2). When B = 2, a maximum weight matching gives a 2-approximation to the problem. The Bandpass-2 problem, or simply the Bandpass problem, can be viewed as a variation of the maximum traveling salesman problem, in which the edge weights are dynamic rather than given at the front. We present in this paper a \(\frac{36}{19}\)-approximation algorithm for the Bandpass problem, which is the first improvement over the simple maximum weight matching based 2-approximation algorithm.


Bandpass problem approximation algorithm edge coloring maximum weight matching worst case performance ratio 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Weitian Tong
    • 1
  • Randy Goebel
    • 1
  • Wei Ding
    • 2
  • Guohui Lin
    • 1
  1. 1.Department of Computing ScienceUniversity of AlbertaEdmontonCanada
  2. 2.Zhejiang Water Conservancy and Hydropower CollegeHangzhouChina

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