An explicit upper bound for the approximation ratio of the maximum gene regulatory network problem

  • Authors:
  • Sergio Pozzi;Gianluca Della Vedova;Giancarlo Mauri

  • Affiliations:
  • DISCo, Univ. Milano-Bicocca;Dip. Statistica, Univ. Milano-Bicocca;DISCo, Univ. Milano-Bicocca

  • Venue:
  • CMSB'04 Proceedings of the 20 international conference on Computational Methods in Systems Biology
  • Year:
  • 2004

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Abstract

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+e2) unless RP=NP.