Speaker: Jin Jun Day: Wednesday, 3/29/2006 Room: ITEB 336 Time: 3:30pm Title: An Approximation Algorithm for Haplotype Inference by Maximum Parsimony This paper studies haplotype inference by maximum parsimony. They define the optimal haplotype inference (OHI) problem as given a set of genotypes and a set of related haplotypes, find a minimum subset of haplotypes that can resolve all the genotypes. They prove that OHI is NP-hard and can be formulated as an integer quadratic programming (IQP) problem. To solve the IQP problem, they propose an iterative semidefinite programming-based approximation algorithm, (called SDPHapInfer). They show that this algorithm finds a solution within a factor of O(log n) of the optimal solution, where n is the number of genotypes. From : Journal of Computational Biology, Vol. 12, No. 10, Pp. 1261-1274, 2005.