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A New Integer Programming Formulation for the Pure Parsimony Problem in Haplotype Analysis

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Algorithms in Bioinformatics (WABI 2004)

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 3240))

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Abstract

We present a new integer programming formulation for the haplotype inference by pure parsimony (HIPP) problem. Unlike a previous approach to this problem [2], we create an integer program whose size is polynomial in the size of the input. This IP is substantially smaller for moderate-sized instances of the HIPP problem. We also show several additional constraints, based on the input, that can be added to the IP to aid in finding a solution, and show how to find which of these constraints is active for a given instance in efficient time. We present experimental results that show our IP has comparable success to the formulation of Gusfield [2] on moderate-sized problems, though it is is much slower. However, our formulation can sometimes solve substantially larger problems than are practical with Gusfield’s formulation.

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References

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© 2004 Springer-Verlag Berlin Heidelberg

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Brown, D.G., Harrower, I.M. (2004). A New Integer Programming Formulation for the Pure Parsimony Problem in Haplotype Analysis. In: Jonassen, I., Kim, J. (eds) Algorithms in Bioinformatics. WABI 2004. Lecture Notes in Computer Science(), vol 3240. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30219-3_22

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  • DOI: https://doi.org/10.1007/978-3-540-30219-3_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23018-2

  • Online ISBN: 978-3-540-30219-3

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