Distance geometry: theory, methods, and applications / ed. by A.Mucherino et al. - New York; London: Springer, 2013. - xvi, 420 p.: ill. - Incl. bibl. ref. - Ind.: p.413-420. - ISBN 978-1-4614-5127-3  Место хранения:   02 | Отделение ГПНТБ СО РАН | Новосибирск

Оглавление / Contents

Part I Theory 1 Universal Rigidity of Bar Frameworks in General Position: A Euclidean Distance Matrix Approach ......................... 3 Abdo Y. Alfakih 2 Mixed Volume and Distance Geometry Techniques for Counting Euclidean Embeddings of Rigid Graphs ........................ 23 Ioannis Z. Emiris, Elias P. Tsigaridas, and Antonios Varvitsiotis 3 The Discretizable Molecular Distance Geometry Problem seems Easier on Proteins .................................... 47 Leo Liberti, Carlile Lavor, and Antonio Mucherino 4 Spheres Unions and Intersections and Some of their Applications in Molecular Modeling .......................... 61 Michel Petitjean 5 Is the Distance Geometry Problem in NP? ..................... 85 Nathanael Beeker, Stéphane Gaubert, Christian Glusa, and Leo Liberti 6 Solving Spatial Constraints with Generalized Distance Geometry .................................................... 95 Lu Yang 7 A Topological Interpretation of the Walk Distances ......... 121 Pavel Chebotarev and Michel Deza Part II Methods 8 Distance Geometry Methods for Protein Structure Determination .............................................. 139 Zachary Voller and Zhijun Wu 9 Solving the Discretizable Molecular Distance Geometry Problem by Multiple Realization Trees ...................... 161 Pedro Nucci, Loana Tito Nogueira, and Carlile Lavor 10 ASAP: An Eigenvector Synchronization Algorithm for the Graph Realization Problem .................................. 177 Mihai Cucuringu 11 Global Optimization for Atomic Cluster Distance Geometry Problems ................................................... 197 Marco Locatelli and Fabio Schoen 12 Solving Molecular Distance Geometry Problems Using a Continuous Optimization Approach ......................... 213 Rodrigo S. Lima and J.M. Martínez 13 DC Programming Approaches for Distance Geometry Problems ... 225 Hoai An Le Thi and Tao Pham Dinh 14 Stochastic Proximity Embedding: A Simple, Fast and Scalable Algorithm for Solving the Distance Geometry Problem .................................................... 291 Dimitris K. Agrafiotis, Deepak Bandyopadhyay, and Eric Yang Part III Applications to Protein Conformations 15 Distance Geometry for Realistic Molecular Conformations .... 315 Gordon M. Crippen 16 Distance Geometry in Structural Biology: New Perspectives .. 329 Thérèse E. Malliavin, Antonio Mucherino, and Michael Nilges 17 Using a Distributed SDP Approach to Solve Simulated Protein Molecular Conformation Problems .................... 351 Xingyuan Fang and Kim-Chuan Toh 18 An Overview on Protein Structure Determination by NMR: Historical and Future Perspectives of the use of Distance Geometry Methods ........................................... 377 Fabio C.L. Almeida, Adolfo H. Moraes, and Francisco Gomes-Neto Index ......................................................... 413