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On the number of solutions of the discretizable molecular distance geometry problem

  • Leo Liberti
  • , Benoît Masson
  • , Jon Lee
  • , Carlile Lavor
  • , Antonio Mucherino

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The Discretizable Molecular Distance Geometry Problem is a subset of instances of the distance geometry problem that can be solved by a combinatorial algorithm called "Branch-and-Prune". It was observed empirically that the number of solutions of YES instances is always a power of two. We perform an extensive theoretical analysis of the number of solutions for these instances and we prove that this number is a power of two with probability one.

Original languageEnglish
Title of host publicationCombinatorial Optimization and Applications - 5th International Conference, COCOA 2011, Proceedings
PublisherSpringer Verlag
Pages322-342
Number of pages21
ISBN (Print)9783642226151
DOIs
Publication statusPublished - 1 Jan 2011

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume6831 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Keywords

  • Branch-and-Prune
  • distance geometry
  • power of two
  • symmetry

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