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Conference Papers Year : 2016

As Close as It Gets


We study the minimum Hamming distance between distinct satisfying assignments of a conjunctive input formula over a given set of Boolean relations (???????????????????, ???). We present a complete classification of the complexity of this optimization problem with respect to the relations admitted in the formula. We give polynomial time algorithms for several classes of constraint languages. For all other cases we prove hardness or completeness with respect to poly-APX, or NPO, or equivalence to a well-known hard optimization problem.
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hal-03300998 , version 1 (27-07-2021)


  • HAL Id : hal-03300998 , version 1


Mike Behrisch, Miki Hermann, Stefan Mengel, Gernot Salzer. As Close as It Gets. 10th International Workshop on Algorithms and Computation (WALCOM '16), 2016, Kathmandu, Nepal. pp.222--235. ⟨hal-03300998⟩
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