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Titlebook: Euclidean Distance Geometry; An Introduction Leo Liberti,Carlile Lavor Textbook 2017 Springer International Publishing Switzerland 2017 con

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Motivation,This book is a basic introduction to Distance Geometry (DG):it gives an overview of the mathematical theory of DG. Our point of view derives from our motivation to apply DG methods to the problem of finding the structure of proteins given some of the interatomic distances.
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The Distance Geometry Problem,The Distance Geometry Problem (DGP)is an .. The corresponding “direct problem”is to compute some pairwise distances of a given set of points. Whereas the direct problem is obviously trivial (just carry out the computation), the inverse problem is generally difficult to solve.
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Realizing complete graphs,In this chapter, we consider the DGP on a very specific class of graphs: the (. + 1)-cliques, i.e., complete graphs on . + 1 vertices, where . is the dimension of the embedding space ..
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Molecular distance geometry problems,The . (MDGP) [86] is the subclass of DGP instances with .=3. Since the DGP is .-hard for each . [107], the MDGP is also .-hard.
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Leo Liberti,Carlile LavorSolutions manual is available to instructors on springer.com.Essential and well-illustrated guide to distance geometry.Incorporates methodologies, solid explanations, and exercises in each chapter.Con
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