An Explicit Upper Bound for the Approximation Ratio of the Maximum Gene Regulatory Network Problem

  • Sergio Pozzi
  • Gianluca Della Vedova
  • Giancarlo Mauri
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3082)


One of the combinatorial models for the biological problem of inferring gene regulation networks is the Maximum Gene Regulatory Network Problem, shortly MGRN, proposed in [2]. The problem is NP-hard [2], consequently the attention has shifted towards approximation algorithms, leading to a polynomial-time 1/2-approximation algorithm [2], while no upper bound on the possible approximation ratio was previously known.

In this paper we make a first step towards closing the gap between the best known and the best possible approximation factors, by showing that no polynomial-time approximation algorithm can have a factor better than 1 – (1/8) / (1+e 2) unless RP=NP.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Sergio Pozzi
    • 1
  • Gianluca Della Vedova
    • 2
  • Giancarlo Mauri
    • 1
  1. 1.DISCo, Univ. Milano-BicoccaItaly
  2. 2.Dip. StatisticaUniv. Milano-BicoccaItaly

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