Pure Parsimony Xor Haplotyping

  • Authors:
  • Paola Bonizzoni;Gianluca Vedova;Riccardo Dondi;Yuri Pirola;Romeo Rizzi

  • Affiliations:
  • DISCo, Univ. Milano-Bicocca,;Dip. Statistica, Univ. Milano-Bicocca,;Dip. Scienze dei Linguaggi, della Comunicazione e degli Studi Culturali, Univ. Bergamo,;DISCo, Univ. Milano-Bicocca,;DIMI, Univ. Udine,

  • Venue:
  • ISBRA '09 Proceedings of the 5th International Symposium on Bioinformatics Research and Applications
  • Year:
  • 2009

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Abstract

The haplotype resolution from xor-genotype data has been recently formulated as a new model for genetic studies [1]. The xor-genotype data is a cheaply obtainable type of data distinguishing heterozygous from homozygous sites without identifying the homozygous alleles. In this paper we propose a formulation based on a well known model used in haplotype inference: pure parsimony. We exhibit exact solutions of the problem by providing polynomial-time algorithms for some restricted cases and a fixed-parameter algorithm for the general case. These results are based on some interesting combinatorial properties of a graph representation of the solutions. Moreover we propose a heuristic and produce an experimental analysis showing that it scales to real-world instances taken from the HapMap project.