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An improved approximation algorithm for the partial Latin square extension problem
Authors:Carla P Gomes  Rommel G Regis  David B Shmoys
Institution:a Department of Computer Science, Cornell University, Ithaca, NY 14853, USA
b School of Operations Research & Industrial Engineering, Cornell University, Ithaca, NY 14853, USA
c School of Operations Research & Industrial Engineering and Department of Computer Science, Cornell University, Ithaca, NY 14853, USA
Abstract:Previous work on the partial Latin square extension (PLSE) problem resulted in a 2-approximation algorithm based on the LP relaxation of a three-dimensional assignment IP formulation. We present an e/(e−1)-approximation algorithm that is based on the LP relaxation of a packing IP formulation of the PLSE problem.
Keywords:Latin square  Randomized rounding  Approximation algorithm
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