A constrained interval approach to the generalized distance geometry problem

DOI10.1007/s11590-018-1301-7zbMath1442.90162OpenAlexW2884642533WikidataQ62562091 ScholiaQ62562091MaRDI QIDQ2174890

Weldon Alexander Lodwick, Carlile C. Lavor, Luiz Leduíno de Salles Neto

Publication date: 27 April 2020

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-018-1301-7

zbMATH Keywords

optimizationconstraint interval arithmeticdistance geometry problem

Mathematics Subject Classification ID

Combinatorial optimization (90C27)

Related Items (1)

Unassigned distance geometry and molecular conformation problems

Uses Software

• GitHub

Cites Work

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• Solving a generalized distance geometry problem for protein structure determination
• Discretization orders and efficient computation of Cartesian coordinates for distance geometry
• Discretization vertex orders in distance geometry
• Assigned and unassigned distance geometry: applications to biological molecules and nanostructures
• A function to test methods applied to global minimization of potential energy of molecules
• A linear-time algorithm for solving the molecular distance geometry problem with exact inter-atomic distances
• The discretizable molecular distance geometry problem
• Calculating the possible conformations arising from uncertainty in the molecular distance geometry problem using constraint interval analysis
• Analytic evaluation of the gradient and Hessian of molecular potential energy functions
• Clifford algebra and the discretizable molecular distance geometry problem
• Rigid versus unique determination of protein structures with geometric buildup
• Extending the geometric build-up algorithm for the molecular distance geometry problem
• The discretizable distance geometry problem
• Recent advances on the discretizable molecular distance geometry problem
• Geometric algebra to model uncertainties in the discretizable molecular distance geometry problem
• The interval branch-and-prune algorithm for the discretizable molecular distance geometry problem with inexact distances
• Interval linear systems as a necessary step in fuzzy linear systems
• On the number of realizations of certain Henneberg graphs arising in protein conformation
• Six mathematical gems from the history of distance geometry
• Distance Geometry Methods for Protein Structure Determination
• Distance Geometry
• Molecular distance geometry methods: from continuous to discrete
• Clifford algebra and discretizable distance geometry
• An Introduction to Distance Geometry applied to Molecular Geometry
• Euclidean Distance Geometry
• Feasibility check for the distance geometry problem: an application to molecular conformations
• Euclidean Distance Geometry and Applications

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