Combinatorial Rigidity
Combinatorial Rigidity

Author: Jack E. Graver

Publisher: American Mathematical Soc.

Published: 1993

Total Pages: 184

ISBN-13: 0821838016

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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.

Combinatorial Optimization and Applications
Combinatorial Optimization and Applications

Author: Peter Widmayer

Publisher: Springer

Published: 2013-11-21

Total Pages: 446

ISBN-13: 3319037803

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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.

Rigidity Theory and Applications
Rigidity Theory and Applications

Author: M.F. Thorpe

Publisher: Springer Science & Business Media

Published: 2006-04-11

Total Pages: 435

ISBN-13: 0306470896

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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
Rigidity and Symmetry

Author: Robert Connelly

Publisher: Springer

Published: 2014-06-11

Total Pages: 378

ISBN-13: 1493907816

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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.

Algorithms -- ESA 2004
Algorithms -- ESA 2004

Author: Susanne Albers

Publisher: Springer Science & Business Media

Published: 2004-09

Total Pages: 853

ISBN-13: 3540230254

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This book constitutes the refereed proceedings of the 12th Annual European Symposium on Algorithms, ESA 2004, held in Bergen, Norway, in September 2004. The 70 revised full papers presented were carefully reviewed from 208 submissions. The scope of the papers spans the entire range of algorithmics from design and mathematical issues to real-world applications in various fields, and engineering and analysis of algorithms.

Handbook of Geometric Constraint Systems Principles
Handbook of Geometric Constraint Systems Principles

Author: Meera Sitharam

Publisher: CRC Press

Published: 2018-07-20

Total Pages: 605

ISBN-13: 1498738923

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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.

CRC Concise Encyclopedia of Mathematics
CRC Concise Encyclopedia of Mathematics

Author: Eric W. Weisstein

Publisher: CRC Press

Published: 2002-12-12

Total Pages: 3253

ISBN-13: 1420035223

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Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Polytopes and Graphs
Polytopes and Graphs

Author: Guillermo Pineda Villavicencio

Publisher: Cambridge University Press

Published: 2024-03-31

Total Pages: 481

ISBN-13: 1009257811

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An introduction to convex polytopes and their graphs, including both background material and cutting-edge research.

Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation
Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation

Author: Manuel Cepedello Boiso

Publisher: Springer Science & Business Media

Published: 2013-11-04

Total Pages: 546

ISBN-13: 3034806485

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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.