A note on the Cayley-Menger determinant and the Molecular Distance Geometry Problem

Information Sciences ◽

10.1016/j.ins.2020.12.072 ◽

2021 ◽

Vol 559 ◽

pp. 1-7

Author(s):

Luiz Leduino de Salles Neto ◽

Carlile Lavor ◽

Weldon Lodwick

Keyword(s):

Distance Geometry ◽

Molecular Distance Geometry ◽

Geometry Problem ◽

Distance Geometry Problem

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A Branch-and-Prune algorithm for the Molecular Distance Geometry Problem

International Transactions in Operational Research ◽

10.1111/j.1475-3995.2007.00622.x ◽

2008 ◽

Vol 15 (1) ◽

pp. 1-17 ◽

Author(s):

Leo Liberti ◽

Carlile Lavor ◽

Nelson Maculan

Keyword(s):

Distance Geometry ◽

Molecular Distance Geometry ◽

Geometry Problem ◽

Branch And Prune Algorithm ◽

Distance Geometry Problem ◽

Branch And Prune

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On the Number of Solutions of the Discretizable Molecular Distance Geometry Problem

Combinatorial Optimization and Applications - Lecture Notes in Computer Science ◽

10.1007/978-3-642-22616-8_26 ◽

2011 ◽

pp. 322-342 ◽

Author(s):

Leo Liberti ◽

Benoît Masson ◽

Jon Lee ◽

Carlile Lavor ◽

Antonio Mucherino

Keyword(s):

Distance Geometry ◽

Number Of Solutions ◽

Molecular Distance Geometry ◽

Geometry Problem ◽

Distance Geometry Problem

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Computational Experience with the Molecular Distance Geometry Problem

Global Optimization - Nonconvex Optimization and Its Applications ◽

10.1007/0-387-30927-6_9 ◽

2006 ◽

pp. 213-225 ◽

Author(s):

Carlile Lavor ◽

Leo Liberti ◽

Nelson Maculan

Keyword(s):

Distance Geometry ◽

Computational Experience ◽

Molecular Distance Geometry ◽

Geometry Problem ◽

Distance Geometry Problem

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A parallel version of the Branch & Prune algorithm for the Molecular Distance Geometry Problem

ACS/IEEE International Conference on Computer Systems and Applications - AICCSA 2010 ◽

10.1109/aiccsa.2010.5586983 ◽

2010 ◽

Author(s):

A. Mucherino ◽

C. Lavor ◽

L. Liberti ◽

E.-G. Talbi

Keyword(s):

Distance Geometry ◽

Parallel Version ◽

Molecular Distance Geometry ◽

Geometry Problem ◽

Distance Geometry Problem

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Advances on the Geometric Algebra approach to the Discretizable Molecular Distance Geometry Problem (DMDGP)

Proceedings of the 33rd Computer Graphics International on - CGI '16 ◽

10.1145/2949035.2949057 ◽

2016 ◽

Author(s):

Rafael Alves ◽

Cipriano de Souza ◽

Carlile Lavor

Keyword(s):

Geometric Algebra ◽

Distance Geometry ◽

Molecular Distance Geometry ◽

Algebra Approach ◽

Geometry Problem ◽

Distance Geometry Problem

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The discretizable molecular distance geometry problem

Computational Optimization and Applications ◽

10.1007/s10589-011-9402-6 ◽

2011 ◽

Vol 52 (1) ◽

pp. 115-146 ◽

Author(s):

Carlile Lavor ◽

Leo Liberti ◽

Nelson Maculan ◽

Antonio Mucherino

Keyword(s):

Distance Geometry ◽

Molecular Distance Geometry ◽

Geometry Problem ◽

Distance Geometry Problem

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Extending the geometric build-up algorithm for the molecular distance geometry problem

Information Processing Letters ◽

10.1016/j.ipl.2008.05.009 ◽

2008 ◽

Vol 108 (4) ◽

pp. 234-237 ◽

Author(s):

Ricardo dos Santos Carvalho ◽

Carlile Lavor ◽

Fábio Protti

Keyword(s):

Distance Geometry ◽

Molecular Distance Geometry ◽

Geometry Problem ◽

Distance Geometry Problem

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Oriented Conformal Geometric Algebra and the Molecular Distance Geometry Problem

Advances in Applied Clifford Algebras ◽

10.1007/s00006-018-0925-0 ◽

2018 ◽

Vol 29 (1) ◽

Author(s):

Carlile Lavor ◽

Rafael Alves

Keyword(s):

Geometric Algebra ◽

Distance Geometry ◽

Conformal Geometric Algebra ◽

Molecular Distance Geometry ◽

Geometry Problem ◽

Distance Geometry Problem

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Solving the Discretizable Molecular Distance Geometry Problem by Multiple Realization Trees

Distance Geometry ◽

10.1007/978-1-4614-5128-0_9 ◽

2012 ◽

pp. 161-176 ◽

Author(s):

Pedro Nucci ◽

Loana Tito Nogueira ◽

Carlile Lavor

Keyword(s):

Distance Geometry ◽

Multiple Realization ◽

Molecular Distance Geometry ◽

Geometry Problem ◽

Distance Geometry Problem

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The Discretizable Molecular Distance Geometry Problem (DMDGP)

An Introduction to Distance Geometry applied to Molecular Geometry - SpringerBriefs in Computer Science ◽

10.1007/978-3-319-57183-6_5 ◽

2017 ◽

pp. 31-39

Author(s):

Carlile Lavor ◽

Leo Liberti ◽

Weldon A. Lodwick ◽

Tiago Mendonça da Costa

Keyword(s):

Distance Geometry ◽

Molecular Distance Geometry ◽

Geometry Problem ◽

Distance Geometry Problem

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