International Conference on Computational Science

ICCS 2006: Computational Science – ICCS 2006 pp 758-766

Minimum Multicolored Subgraph Problem in Multiplex PCR Primer Set Selection and Population Haplotyping

  • M. T. Hajiaghayi
  • K. Jain
  • L. C. Lau
  • I. I. Măndoiu
  • A. Russell
  • V. V. Vazirani
Conference paper

DOI: 10.1007/11758525_102

Volume 3992 of the book series Lecture Notes in Computer Science (LNCS)
Cite this paper as:
Hajiaghayi M.T., Jain K., Lau L.C., Măndoiu I.I., Russell A., Vazirani V.V. (2006) Minimum Multicolored Subgraph Problem in Multiplex PCR Primer Set Selection and Population Haplotyping. In: Alexandrov V.N., van Albada G.D., Sloot P.M.A., Dongarra J. (eds) Computational Science – ICCS 2006. ICCS 2006. Lecture Notes in Computer Science, vol 3992. Springer, Berlin, Heidelberg

Abstract

In this paper we consider the minimum weight multicolored subgraph problem (MWMCSP), which is a common generalization of minimum cost multiplex PCR primer set selection and maximum likelihood population haplotyping. In this problem one is given an undirected graph G with non-negative vertex weights and a color function that assigns to each edge one or more of n given colors, and the goal is to find a minimum weight set of vertices inducing edges of all n colors. We obtain improved approximation algorithms and hardness results for MWMCSP and its variant in which the goal is to find a minimum number of vertices inducing edges of at least k colors for a given integer kn.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • M. T. Hajiaghayi
    • 1
  • K. Jain
    • 2
  • L. C. Lau
    • 3
  • I. I. Măndoiu
    • 4
  • A. Russell
    • 4
  • V. V. Vazirani
    • 5
  1. 1.Laboratory for Computer ScienceMITUSA
  2. 2.Microsoft ResearchUSA
  3. 3.Department of Computer ScienceUniversity of TorontoCanada
  4. 4.CSE DepartmentUniversity of ConnecticutUSA
  5. 5.College of ComputingGeorgia Institute of TechnologyUSA