Combinatorial Rigidity
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Combinatorial Rigidity
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Author : Jack E. Graver
language : en
Publisher: American Mathematical Soc.
Release Date : 1993
Combinatorial Rigidity written by Jack E. Graver and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
This book presents rigidity theory in a historical context. The combinatorial aspects of rigidity are isolated and framed in terms of a special class of matroids, which are a natural generalization of the connectivity matroid of a graph. The book includes an introduction to matroid theory and an extensive study of planar rigidity. The final chapter is devoted to higher dimensional rigidity, highlighting the main open questions. Also included is an extensive annotated bibiolography with over 150 entries. The book is aimed at graduate students and researchers in graph theory and combinatorics or in fields which apply the structural aspects of these subjects in architecture and engineering. Accessible to those who have had an introduction to graph theory at the senior or graduate level, the book would be suitable for a graduate course in graph theory.
Rigidity Theory And Applications
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Author : M.F. Thorpe
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
Rigidity Theory And Applications written by M.F. Thorpe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Computers categories.
Although rigidity has been studied since the time of Lagrange (1788) and Maxwell (1864), it is only in the last twenty-five years that it has begun to find applications in the basic sciences. The modern era starts with Laman (1970), who made the subject rigorous in two dimensions, followed by the development of computer algorithms that can test over a million sites in seconds and find the rigid regions, and the associated pivots, leading to many applications. This workshop was organized to bring together leading researchers studying the underlying theory, and to explore the various areas of science where applications of these ideas are being implemented.
Rigidity And Symmetry
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Author : Robert Connelly
language : en
Publisher: Springer
Release Date : 2014-06-11
Rigidity And Symmetry written by Robert Connelly and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-11 with Mathematics categories.
This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics. Contributions present recent trends and advances in discrete geometry, particularly in the theory of polytopes. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory, classical geometry, hyperbolic geometry and topology. Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme. The volume will be a valuable source as an introduction to the ideas of both combinatorial and geometric rigidity theory and its applications, incorporating the surprising impact of symmetry. It will appeal to students at both the advanced undergraduate and graduate levels, as well as post docs, structural engineers and chemists.
Combinatorial Optimization And Applications
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Author : Peter Widmayer
language : en
Publisher: Springer
Release Date : 2013-11-21
Combinatorial Optimization And Applications written by Peter Widmayer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Computers categories.
This book constitutes the refereed proceedings of the 7th International Conference on Combinatorial Optimization and Applications, COCOA 2013, held in Chengdu, China, in December 2013. The 36 full papers presented were carefully reviewed and selected from 72 submissions. The papers feature original research in the areas of combinatorial optimization and its applications. In addition to theoretical results there are reports on experimental and applied research of general algorithmic interest.
Handbook Of Geometric Constraint Systems Principles
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Author : Meera Sitharam
language : en
Publisher: CRC Press
Release Date : 2018-07-20
Handbook Of Geometric Constraint Systems Principles written by Meera Sitharam and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-20 with Mathematics categories.
The Handbook of Geometric Constraint Systems Principles is an entry point to the currently used principal mathematical and computational tools and techniques of the geometric constraint system (GCS). It functions as a single source containing the core principles and results, accessible to both beginners and experts. The handbook provides a guide for students learning basic concepts, as well as experts looking to pinpoint specific results or approaches in the broad landscape. As such, the editors created this handbook to serve as a useful tool for navigating the varied concepts, approaches and results found in GCS research. Key Features: A comprehensive reference handbook authored by top researchers Includes fundamentals and techniques from multiple perspectives that span several research communities Provides recent results and a graded program of open problems and conjectures Can be used for senior undergraduate or graduate topics course introduction to the area Detailed list of figures and tables About the Editors: Meera Sitharam is currently an Associate Professor at the University of Florida’s Department of Computer & Information Science and Engineering. She received her Ph.D. at the University of Wisconsin, Madison. Audrey St. John is an Associate Professor of Computer Science at Mount Holyoke College, who received her Ph. D. from UMass Amherst. Jessica Sidman is a Professor of Mathematics on the John S. Kennedy Foundation at Mount Holyoke College. She received her Ph.D. from the University of Michigan.
Topology And Combinatorics Of 3 Manifolds
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Author : Klaus Johannson
language : en
Publisher: Springer
Release Date : 2006-11-14
Topology And Combinatorics Of 3 Manifolds written by Klaus Johannson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This book is a study of combinatorial structures of 3-mani- folds, especially Haken 3-manifolds. Specifically, it is concerned with Heegard graphs in Haken 3-manifolds, i.e., with graphs whose complements have a free fundamental group. These graphs always exist. They fix not only a combinatorial stucture but also a presentation for the fundamental group of the underlying 3-manifold. The starting point of the book is the result that the intersection of Heegard graphs with incompressible surfaces, or hierarchies of such surfaces, is very rigid. A number of finiteness results lead up to a ri- gidity theorem for Heegard graphs. The book is intended for graduate students and researchers in low-dimensional topolo- gy as well as combinatorial theory. It is self-contained and requires only a basic knowledge of the theory of 3-manifolds
Concrete Operators Spectral Theory Operators In Harmonic Analysis And Approximation
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Author : Manuel Cepedello Boiso
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-04
Concrete Operators Spectral Theory Operators In Harmonic Analysis And Approximation written by Manuel Cepedello Boiso and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-04 with Mathematics categories.
This book contains a collection of research articles and surveys on recent developments on operator theory as well as its applications covered in the IWOTA 2011 conference held at Sevilla University in the summer of 2011. The topics include spectral theory, differential operators, integral operators, composition operators, Toeplitz operators, and more. The book also presents a large number of techniques in operator theory.
Geometry At Work
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Author : Catherine A. Gorini
language : en
Publisher: Cambridge University Press
Release Date : 2000-10-12
Geometry At Work written by Catherine A. Gorini and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-10-12 with Mathematics categories.
An examination of symmetry for the interested layman.
Jerusalem Combinatorics 93
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Author : Hélène Barcelo
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Jerusalem Combinatorics 93 written by Hélène Barcelo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
This book contains twenty-two papers presented at the International Conference in Combinatorics, held in Jerusalem in May 1993. The papers describe some of the latest developments in algebraic combinatorics, enumeration, graph and hypergraph theory, combinatorial geometry, and geometry of polytopes and arrangements. The papers are accessible to specialists as well as nonspecialists.
Combinations Of Complex Dynamical Systems
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Author : Kevin M. Pilgrim
language : en
Publisher: Springer Science & Business Media
Release Date : 2003
Combinations Of Complex Dynamical Systems written by Kevin M. Pilgrim and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Differentiable dynamical systems categories.