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A Branch-and-Prune algorithm for the Molecular Distance Geometry Problem
Authors:Leo Liberti  Carlile Lavor   Nelson Maculan
Affiliation:LIX, Ecole Polytechnique, F-91128 Palaiseau, France
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Departamento de Matemática Aplicada (IMECC-UNICAMP), Universidade Estadual de Campinas, CP 6065, 13081-970, Campinas-SP, Brazil
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COPPE, Universidade Federal do Rio de Janeiro (UFRJ) C.P. 68511, Rio de Janerio 21945-970, Brazil
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Abstract:The Molecular Distance Geometry Problem consists in finding the positions in inline image of the atoms of a molecule, given some of the inter‐atomic distances. We show that under an additional requirement on the given distances this can be transformed to a combinatorial problem. We propose a Branch‐and‐Prune algorithm for the solution of this problem and report on very promising computational results.
Keywords:Molecular Distance Geometry Problem    Branch-and-Prune algorithm
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