An FPT haplotyping algorithm on pedigrees with a small number of sites

<p>Abstract</p> <p>Background</p> <p>Genetic disease studies investigate relationships between changes in chromosomes and genetic diseases. Single haplotypes provide useful information for these studies but extracting single haplotypes directly by biochemical methods is expensive. A computational method to infer haplotypes from genotype data is therefore important. We investigate the problem of computing the minimum number of recombination events for general pedigrees with a small number of sites for all members.</p> <p>Results</p> <p>We show that this NP-hard problem can be parametrically reduced to the Bipartization by Edge Removal problem with additional parity constraints. We solve this problem with an exact algorithm that runs in <inline-formula><graphic file="1748-7188-6-8-i1.gif"/></inline-formula> time, where <it>n </it>is the number of members, <it>m </it>is the number of sites, and <it>k </it>is the number of recombination events.</p> <p>Conclusions</p> <p>This algorithm infers haplotypes for a small number of sites, which can be useful for genetic disease studies to track down how changes in haplotypes such as recombinations relate to genetic disease.</p