Distance Geometry

1. Universal Rigidity of Bar Frameworks in General Position: A Euclidean Distance Matrix Approach
Abdo Y. Alfakih

2. Mixed Volume and Distance Geometry Techniques for Counting Euclidean Embeddings of Rigid Graphs
Ioannis Z. Emiris, Elias P. Tsigaridas, Antonios Varvitsiotis

3. The Discretizable Molecular Distance Geometry Problem seems Easier on Proteins
Leo Liberti, Carlile Lavor, Antonio Mucherino

4. Spheres Unions and Intersections and Some of their Applications in Molecular Modeling
Michel Petitjean

5. Is the Distance Geometry Problem in NP?
Nathanael Beeker, Stéphane Gaubert, Christian Glusa, Leo Liberti

6. Solving Spatial Constraints with Generalized Distance Geometry
Lu Yang

7. A Topological Interpretation of the Walk Distances
Pavel Chebotarev, Michel Deza

8. Distance Geometry Methods for Protein Structure Determination
Zachary Voller, Zhijun Wu

9. Solving the Discretizable Molecular Distance Geometry Problem by Multiple Realization Trees
Pedro Nucci, Loana Tito Nogueira, Carlile Lavor

10. ASAP: An Eigenvector Synchronization Algorithm for the Graph Realization Problem
Mihai Cucuringu

11. Global Optimization for Atomic Cluster Distance Geometry Problems
Marco Locatelli, Fabio Schoen

12. Solving Molecular Distance Geometry Problems Using a Continuous Optimization Approach
Rodrigo S. Lima, J. M. Martínez

13. DC Programming Approaches for Distance Geometry Problems
Hoai An Le Thi, Tao Pham Dinh

14. Stochastic Proximity Embedding: A Simple, Fast and Scalable Algorithm for Solving the Distance Geometry Problem
Dimitris K. Agrafiotis, Deepak Bandyopadhyay, Eric Yang

15. Distance Geometry for Realistic Molecular Conformations
Gordon M. Crippen

16. Distance Geometry in Structural Biology: New Perspectives
Thérèse E. Malliavin, Antonio Mucherino, Michael Nilges

17. Using a Distributed SDP Approach to Solve Simulated Protein Molecular Conformation Problems
Xingyuan Fang, Kim-Chuan Toh

18. An Overview on Protein Structure Determination by NMR: Historical and Future Perspectives of the use of Distance Geometry Methods
Fabio C. L. Almeida, Adolfo H. Moraes, Francisco Gomes-Neto

Keywords: Mathematics, Geometry, Operations Research, Management Science, Visualization