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List of works by Carlile Lavor

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

A Clifford Algebra of Signature (n,3n) and the Density Operators of Quantum Information Theory

scholarly article by Nolmar Melo & Carlile Lavor published 6 June 2012 in Advances in Applied Clifford Algebras

A Combinatorial Approach to Multidimensional Scaling

article

A Function to Test Methods Applied to Global Minimization of Potential Energy of Molecules

A New Approach to the Discretization of Multidimensional Scaling

A constrained interval approach to the generalized distance geometry problem

article by Luiz Leduino de Salles Neto et al published 24 July 2018 in Optimization Letters

A continuous variable neighborhood search heuristic for finding the three-dimensional structure of a molecule

A deterministic approach for global minimization of molecular potential energy functions

A discrete search algorithm for finding the structure of protein backbones and side chains.

scientific article

A new algorithm for the small-field astrometric point-pattern matching problem

A new hybrid classical-quantum algorithm for continuous global optimization problems

article

A note on the sum of the largest signless Laplacian eigenvalues

A note on “A branch-and-prune algorithm for the molecular distance geometry problem”

A novel low-rank matrix completion approach to estimate missing entries in Euclidean distance matrix

article

A symmetry-based splitting strategy for discretizable distance geometry problems

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

scholarly article published 2016

An adaptive branching scheme for the Branch & Prune algorithm applied to Distance Geometry

An algorithm for realizing Euclidean distance matrices

An algorithm to enumerate all possible protein conformations verifying a set of distance constraints

scientific article

Analytic evaluation of the gradient and Hessian of molecular potential energy functions

Assigned and unassigned distance geometry: applications to biological molecules and nanostructures

BetaMDGP: Protein Structure Determination Algorithm Based on the Beta-complex

Clifford Algebra Applied to Grover’s Algorithm

scholarly article by Rafael Alves & Carlile Lavor published 9 March 2010 in Advances in Applied Clifford Algebras

Clifford Algebra and the Discretizable Molecular Distance Geometry Problem

scholarly article by Carlile Lavor et al published 4 March 2015 in Advances in Applied Clifford Algebras

Comparisons between an exact and a metaheuristic algorithm for the molecular distance geometry problem

Conclusion

Counting the Number of Solutions of KDMDGP Instances

article by Leo Liberti et al published 2013 in Lecture Notes in Computer Science

Discretizability

Discretization orders for distance geometry problems

Discretization orders for protein side chains

Discretization vertex orders in distance geometry

Distance Geometry and Molecular Geometry

Distance Geometry on the Sphere

Distance geometry and protein loop modeling

scientific article published on 14 December 2021

Double variable neighbourhood search with smoothing for the molecular distance geometry problem

article published in 2007

Euclidean Distance Geometry and Applications

Exploiting symmetry properties of the discretizable molecular distance geometry problem.

scientific article published in June 2012

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

scholarly article by Ricardo dos Santos Carvalho et al published October 2008 in Information Processing Letters

Feasibility check for the distance geometry problem: an application to molecular conformations

Finding Optimal Discretization Orders for Molecular Distance Geometry by Answer Set Programming

From Continuous to Discrete

Geometric Algebra to Model Uncertainties in the Discretizable Molecular Distance Geometry Problem

scholarly article by Rafael Alves & Carlile Lavor published 21 March 2016 in Advances in Applied Clifford Algebras

Hyperbolic smoothing and penalty techniques applied to molecular structure determination

Improving methods for epidemiological control of canine visceral leishmaniasis based on a mathematical model. Impact on the incidence of the canine and human disease

scientific article published on 23 August 2004

Influence of Pruning Devices on the Solution of Molecular Distance Geometry Problems

Introduction

MD-jeep: An Implementation of a Branch and Prune Algorithm for Distance Geometry Problems

Minimal NMR distance information for rigidity of protein graphs

scientific article published on 26 April 2018

Modeling the Molecular Distance Geometry Problem Using Dihedral Angles

Molecular distance geometry methods: from continuous to discrete

New Error Measures and Methods for Realizing Protein Graphs from Distance Data

On a Relationship Between Graph Realizability and Distance Matrix Completion

On a discretizable subclass of instances of the molecular distance geometry problem

scholarly article published 2009

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

On the number of realizations of certain Henneberg graphs arising in protein conformation

Preface

Preface to the Special Issue on Many Faces of Distances

Quantum state tomography with incomplete data: Maximum entropy and variational quantum tomography

scientific article published on 31 May 2013

Realizing Euclidean distance matrices by sphere intersection

Recent advances on the Discretizable Molecular Distance Geometry Problem

Recent advances on the interval distance geometry problem

Recent results on assigned and unassigned distance geometry with applications to protein molecules and nanostructures

Reformulation in mathematical programming: An application to quantum chemistry

scholarly article by Leo Liberti et al published March 2009 in Discrete Applied Mathematics

Six mathematical gems from the history of distance geometry

Solving the molecular distance geometry problem with inaccurate distance data.

scientific article

Systematic Exploration of Protein Conformational Space Using a Distance Geometry Approach

scientific article published on 06 September 2019

The Discretizable Distance Geometry Problem (DDGP3)

The Discretizable Molecular Distance Geometry Problem (DMDGP)

The Distance Geometry Problem (DGP)

The Interval Branch-And-Prune Algorithm for the Protein Structure Determination

The K-discretization and K-incident graphs for discretizable Distance Geometry

The discretizable molecular distance geometry problem

The interval Branch-and-Prune algorithm for the discretizable molecular distance geometry problem with inexact distances

Tuning interval Branch-and-Prune for protein structure determination

scholarly article by Bradley Worley et al published 9 March 2018 in Journal of Global Optimization

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