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Conference Papers Year : 2012

On the Discretization of Distance Geometry Problems

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Abstract

Distance geometry consists of finding an embedding of a weighted undirected graph in R^n. Since some years, we are working on suitable discretizations for this problem. Because of the discretization, the search domain is reduced from a continuous to a discrete set which has the structure of a tree. Based on this combinatorial structure, we developed an efficient branch-and-prune (BP) algorithm for the solution of distance geometry problems. In this paper, we focus on two important aspects of the discretization: the identification of suitable vertex discretizing orderings and the analysis of the symmetries that can be found in BP trees.
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Dates and versions

hal-00756945 , version 1 (24-11-2012)

Identifiers

  • HAL Id : hal-00756945 , version 1

Cite

Antonio Mucherino, Carlile Lavor, Leo Liberti, Nelson Maculan. On the Discretization of Distance Geometry Problems. Mathematics of Distances and Applications 2012 (MDA12), 2012, Varna, Bulgaria. ⟨hal-00756945⟩
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