Planning, Geometry, and Complexity of Robot Motion

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Publisher : Intellect Books
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Planning, Geometry, and Complexity of Robot Motion by : Jacob T. Schwartz

Download or read book Planning, Geometry, and Complexity of Robot Motion written by Jacob T. Schwartz and published by Intellect Books. This book was released on 1987 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robotics has come to attract the attention of mathematicians and theoretical computer scientists to a rapidly increasing degree. Initial investigations have shown that robotics is a rich source of deep theoretical problems, which range over computational geometry, control theory, and many aspects of physics, and whose solutions draw upon methods developed in subjects as diverse as automata theory, algebraic topology, and Fourier analysis.

The Complexity of Robot Motion Planning

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Publisher : MIT Press
ISBN 13 : 9780262031363
Total Pages : 220 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis The Complexity of Robot Motion Planning by : John Canny

Download or read book The Complexity of Robot Motion Planning written by John Canny and published by MIT Press. This book was released on 1988 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Complexity of Robot Motion Planning makes original contributions both to roboticsand to the analysis of algorithms. In this groundbreaking monograph John Canny resolveslong-standing problems concerning the complexity of motion planning and, for the central problem offinding a collision free path for a jointed robot in the presence of obstacles, obtains exponentialspeedups over existing algorithms by applying high-powered new mathematical techniques.Canny's newalgorithm for this "generalized movers' problem," the most-studied and basic robot motion planningproblem, has a single exponential running time, and is polynomial for any given robot. The algorithmhas an optimal running time exponent and is based on the notion of roadmaps - one-dimensionalsubsets of the robot's configuration space. In deriving the single exponential bound, Cannyintroduces and reveals the power of two tools that have not been previously used in geometricalgorithms: the generalized (multivariable) resultant for a system of polynomials and Whitney'snotion of stratified sets. He has also developed a novel representation of object orientation basedon unnormalized quaternions which reduces the complexity of the algorithms and enhances theirpractical applicability.After dealing with the movers' problem, the book next attacks and derivesseveral lower bounds on extensions of the problem: finding the shortest path among polyhedralobstacles, planning with velocity limits, and compliant motion planning with uncertainty. Itintroduces a clever technique, "path encoding," that allows a proof of NP-hardness for the first twoproblems and then shows that the general form of compliant motion planning, a problem that is thefocus of a great deal of recent work in robotics, is non-deterministic exponential time hard. Cannyproves this result using a highly original construction.John Canny received his doctorate from MITAnd is an assistant professor in the Computer Science Division at the University of California,Berkeley. The Complexity of Robot Motion Planning is the winner of the 1987 ACM DoctoralDissertation Award.

Practical Motion Planning in Robotics

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Author :
Publisher : Chichester, England ; Toronto : J. Wiley
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Practical Motion Planning in Robotics by : Kamal Gupta

Download or read book Practical Motion Planning in Robotics written by Kamal Gupta and published by Chichester, England ; Toronto : J. Wiley. This book was released on 1998-10-15 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical Motion Planning in Robotics Current Approaches and Future Directions Edited by Kamal Gupta Simon Fraser University, Burnaby, Canada Angel P. del Pobil Jaume-l University, Castellon, Spain Designed to bridge the gap between research and industry, Practical Motion Planning in Robotics brings theoretical advances to bear on real-world applications. Capitalizing on recent progress, this comprehensive study emphasizes the practical aspects of techniques for collision detection, obstacle avoidance, path planning and manipulation planning. The broad approach spans both model- and sensor-based motion planning, collision detection and geometric complexity, and future directions. Features include: - Review of state-of-the-art techniques and coverage of the main issues to be considered in the development of motion planners for use in real applications - Focus on gross motion planning for articulated arms enabling robots to perform non-contact tasks with relatively high tolerances plus brief consideration of mobile robots - The use of efficient algorithms to tackle incremental changes in the environment - Illlustration of robot motion planning applications in virtual prototyping and the shipbuilding industry - Demonstration of efficient path planners combining both local and global planning approaches in conjunction with efficient techniques for collision detection and distance computations - International contributions from academia and industry Combining theory and practice, this timely book will appeal to academic researchers and practising engineers in the fields of robotic systems, mechatronics and computer science.

Planning Algorithms

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Publisher :
ISBN 13 : 9780511241338
Total Pages : 826 pages
Book Rating : 4.2/5 (413 download)

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Book Synopsis Planning Algorithms by : Steven Michael LaValle

Download or read book Planning Algorithms written by Steven Michael LaValle and published by . This book was released on 2006 with total page 826 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for computer scientists and engineers with interests in artificial intelligence, robotics, or control theory, this is the only book on this topic that integrates literature from several fields into a coherent source for teaching and reference in applications including robotics, computational biology, computer graphics, manufacturing, aerospace applications, and medicine.

Robot Motion Planning

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Publisher : Springer Science & Business Media
ISBN 13 : 1461540224
Total Pages : 668 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Robot Motion Planning by : Jean-Claude Latombe

Download or read book Robot Motion Planning written by Jean-Claude Latombe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the ultimate goals in Robotics is to create autonomous robots. Such robots will accept high-level descriptions of tasks and will execute them without further human intervention. The input descriptions will specify what the user wants done rather than how to do it. The robots will be any kind of versatile mechanical device equipped with actuators and sensors under the control of a computing system. Making progress toward autonomous robots is of major practical inter est in a wide variety of application domains including manufacturing, construction, waste management, space exploration, undersea work, as sistance for the disabled, and medical surgery. It is also of great technical interest, especially for Computer Science, because it raises challenging and rich computational issues from which new concepts of broad useful ness are likely to emerge. Developing the technologies necessary for autonomous robots is a formidable undertaking with deep interweaved ramifications in auto mated reasoning, perception and control. It raises many important prob lems. One of them - motion planning - is the central theme of this book. It can be loosely stated as follows: How can a robot decide what motions to perform in order to achieve goal arrangements of physical objects? This capability is eminently necessary since, by definition, a robot accomplishes tasks by moving in the real world. The minimum one would expect from an autonomous robot is the ability to plan its x Preface own motions.

Topology and Robotics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821842463
Total Pages : 202 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topology and Robotics by : Michael Farber

Download or read book Topology and Robotics written by Michael Farber and published by American Mathematical Soc.. This book was released on 2007 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since the literary works of Capek and Asimov, mankind has been fascinated by the idea of robots. Modern research in robotics reveals that along with many other branches of mathematics, topology has a fundamental role to play in making these grand ideas a reality. This volume summarizes recent progress in the field of topological robotics--a new discipline at the crossroads of topology, engineering and computer science. Currently, topological robotics is developing in two main directions. On one hand, it studies pure topological problems inspired by robotics and engineering. On the other hand, it uses topological ideas, topological language, topological philosophy, and specially developed tools of algebraic topology to solve problems of engineering and computer science. Examples of research in both these directions are given by articles in this volume, which is designed to be a mixture of various interesting topics of pure mathematics and practical engineering.

Combinatorial And Toric Homotopy: Introductory Lectures

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Publisher : World Scientific
ISBN 13 : 9813226587
Total Pages : 448 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Combinatorial And Toric Homotopy: Introductory Lectures by : Darby Alastair

Download or read book Combinatorial And Toric Homotopy: Introductory Lectures written by Darby Alastair and published by World Scientific. This book was released on 2017-10-20 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning. The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology and illustrates an attempt to classify in a combinatorial way polytopes known as fullerenes, which are important objects in quantum physics, quantum chemistry and nanotechnology. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis–Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. The book also displays the current research on configuration spaces, braids, the theory of limits over the category of presentations and the theory of fr-codes. As an application to robotics, the book surveys topological problems relevant to the motion planning problem of robotics and includes new results and constructions, which enrich the emerging area of topological robotics. The book is at research entry level addressing the core components in homotopy theory and their important applications in the sciences and thus suitable for advanced undergraduate and graduate students. Contents: Toric Homotopy Theory (Stephen Theriault)Fullerenes, Polytopes and Toric Topology (Victor M Buchstaber and Nikolay Yu Erokhovets)Around Braids (Vladimir Vershinin)Higher Limits, Homology Theories and fr-Codes (Sergei O Ivanov and Roman Mikhailov)Configuration Spaces and Robot Motion Planning Algorithms (Michael Farber)Cellular Stratified Spaces (Dai Tamaki) Readership: Advanced undergraduate and graduate students as well as researchers interested in homotopy theory and its applications in the sciences. Keywords: Toric Topology;Toric Homotopy;Configuration Space;Stratified Spaces;Braid Group;Fullerene;Polytope;Virtual Braid Group;Thompson Group;Robotics;Motion PlanningReview: Key Features: The first book in the area of toric homotopy theory consisting of introductory lectures on the topics and their applications to fr-codes and robot motion planning

Geometry and Robotics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540516835
Total Pages : 426 pages
Book Rating : 4.5/5 (168 download)

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Book Synopsis Geometry and Robotics by : Jean-Daniel Boissonnat

Download or read book Geometry and Robotics written by Jean-Daniel Boissonnat and published by Springer Science & Business Media. This book was released on 1989-10-11 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The role played by hormones in the development and treatment of malignant tumors has been controversial for nearly 50 years. The present volume concentrates on substantiated data obtained from the study of tumors developing from hormone-related or hormone-producing tissue, for example the thyroid, adrenal glands, prostate, and the female genital tract. Combining expertise from the fields of molecular biology, biochemistry, and histopathology, advances in the management of these tumors are elaborated. The book also provides information on the endonuclear diagnosis of adrenal tumors. Antihormones have proved to be important as they exhibit a destructive effect on prostate carcinomas and breast cancer. In addition, a special chapter discusses the diffuse endocrine cell system (DECS). Bridging the gap between molecular biology and endocrine therapy, the editors present innovative data on many aspects of hormone-related malignant tumors and offer both a survey of present knowledge and a basis for further research.

Nonholonomic Motion Planning

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Publisher : Springer Science & Business Media
ISBN 13 : 1461531764
Total Pages : 455 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Nonholonomic Motion Planning by : Zexiang Li

Download or read book Nonholonomic Motion Planning written by Zexiang Li and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonholonomic Motion Planning grew out of the workshop that took place at the 1991 IEEE International Conference on Robotics and Automation. It consists of contributed chapters representing new developments in this area. Contributors to the book include robotics engineers, nonlinear control experts, differential geometers and applied mathematicians. Nonholonomic Motion Planning is arranged into three chapter groups: Controllability: one of the key mathematical tools needed to study nonholonomic motion. Motion Planning for Mobile Robots: in this section the papers are focused on problems with nonholonomic velocity constraints as well as constraints on the generalized coordinates. Falling Cats, Space Robots and Gauge Theory: there are numerous connections to be made between symplectic geometry techniques for the study of holonomies in mechanics, gauge theory and control. In this section these connections are discussed using the backdrop of examples drawn from space robots and falling cats reorienting themselves. Nonholonomic Motion Planning can be used either as a reference for researchers working in the areas of robotics, nonlinear control and differential geometry, or as a textbook for a graduate level robotics or nonlinear control course.

Robot Motion Planning and Control

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Publisher : Springer
ISBN 13 : 9783662167908
Total Pages : 347 pages
Book Rating : 4.1/5 (679 download)

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Book Synopsis Robot Motion Planning and Control by : Jean-Paul Laumond

Download or read book Robot Motion Planning and Control written by Jean-Paul Laumond and published by Springer. This book was released on 2014-03-12 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can a robot decide what motions to perform in order to achieve tasks in the physical world? Robot motion planning encompasses several different disciplines, most notably robotics, computer science, control theory and mathematics. This volume presents an interdisciplinary account of recent developments in the field. Topics covered include: combining geometric algorithms and control techniques to account for the nonholonomic constraints of most mobile robots; the mathematical machinery necessary for understanding nonholonomic systems; applying optimal techniques to compute optimal paths; feedback control for nonholonomic mobile robots; probabilistic algorithms and new motion planning approaches; and a survey of recent techniques for dealing with collision detection.

ICT Innovations 2013

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Publisher : Springer Science & Business Media
ISBN 13 : 3319014668
Total Pages : 304 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis ICT Innovations 2013 by : Vladimir Trajkovik

Download or read book ICT Innovations 2013 written by Vladimir Trajkovik and published by Springer Science & Business Media. This book was released on 2013-07-20 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information communication technologies have become the necessity in everyday life enabling increased level of communication, processing and information exchange to extent that one could not imagine only a decade ago. Innovations in these technologies open new fields in areas such as: language processing, biology, medicine, robotics, security, urban planning, networking, governance and many others. The applications of these innovations are used to define services that not only ease, but also increase the quality of life. Good education is essential for establishing solid basis of individual development and performance. ICT is integrated part of education at every level and type. Therefore, the special focus should be given to possible deployment of the novel technologies in order to achieve educational paradigms adapted to possible educational consumer specific and individual needs. This book offers a collection of papers presented at the Fifth International Conference on ICT Innovations held in September 2013, in Ohrid, Macedonia. The conference gathered academics, professionals and practitioners in developing solutions and systems in the industrial and business arena especially innovative commercial implementations, novel applications of technology, and experience in applying recent ICT research advances to practical solutions.

Motion Planning in Dynamic Environments

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Publisher : Springer Science & Business Media
ISBN 13 : 4431681655
Total Pages : 190 pages
Book Rating : 4.4/5 (316 download)

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Book Synopsis Motion Planning in Dynamic Environments by : Kikuo Fujimura

Download or read book Motion Planning in Dynamic Environments written by Kikuo Fujimura and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Science Workbench is a monograph series which will provide you with an in-depth working knowledge of current developments in computer technology. Every volume in this series will deal with a topic of importance in computer science and elaborate on how you yourself can build systems related to the main theme. You will be able to develop a variety of systems, including computer software tools, computer graphics, computer animation, database management systems, and computer-aided design and manufacturing systems. Computer Science Workbench represents an important new contribution in the field of practical computer technology. TOSIYASU L. KUNII To my parents Kenjiro and Nori Fujimura Preface Motion planning is an area in robotics that has received much attention recently. Much of the past research focuses on static environments - various methods have been developed and their characteristics have been well investigated. Although it is essential for autonomous intelligent robots to be able to navigate within dynamic worlds, the problem of motion planning in dynamic domains is relatively little understood compared with static problems.

Principles of Robot Motion

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Publisher : MIT Press
ISBN 13 : 9780262033275
Total Pages : 642 pages
Book Rating : 4.0/5 (332 download)

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Book Synopsis Principles of Robot Motion by : Howie Choset

Download or read book Principles of Robot Motion written by Howie Choset and published by MIT Press. This book was released on 2005-05-20 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text that makes the mathematical underpinnings of robot motion accessible and relates low-level details of implementation to high-level algorithmic concepts. Robot motion planning has become a major focus of robotics. Research findings can be applied not only to robotics but to planning routes on circuit boards, directing digital actors in computer graphics, robot-assisted surgery and medicine, and in novel areas such as drug design and protein folding. This text reflects the great advances that have taken place in the last ten years, including sensor-based planning, probabalistic planning, localization and mapping, and motion planning for dynamic and nonholonomic systems. Its presentation makes the mathematical underpinnings of robot motion accessible to students of computer science and engineering, rleating low-level implementation details to high-level algorithmic concepts.

Spatial Representation and Motion Planning

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540606208
Total Pages : 260 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Spatial Representation and Motion Planning by : Angel P. del Pobil

Download or read book Spatial Representation and Motion Planning written by Angel P. del Pobil and published by Springer Science & Business Media. This book was released on 1995-11-08 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the development of adequate spatial representations for robot motion planning. Drawing upon advanced heuristic techniques from AI and computational geometry, the authors introduce a general model for spatial representation of physical objects. This model is then applied to two key problems in intelligent robotics: collision detection and motion planning. In addition, the application to actual robot arms is kept always in mind, instead of dealing with simplified models. This monograph is built upon Angel del Pobil's PhD thesis which was selected as the winner of the 1992 Award of the Spanish Royal Academy of Doctors.

Handbook of Discrete and Computational Geometry, Second Edition

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Publisher : CRC Press
ISBN 13 : 1420035312
Total Pages : 1557 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Discrete and Computational Geometry, Second Edition by : Csaba D. Toth

Download or read book Handbook of Discrete and Computational Geometry, Second Edition written by Csaba D. Toth and published by CRC Press. This book was released on 2004-04-13 with total page 1557 pages. Available in PDF, EPUB and Kindle. Book excerpt: While high-quality books and journals in this field continue to proliferate, none has yet come close to matching the Handbook of Discrete and Computational Geometry, which in its first edition, quickly became the definitive reference work in its field. But with the rapid growth of the discipline and the many advances made over the past seven years, it's time to bring this standard-setting reference up to date. Editors Jacob E. Goodman and Joseph O'Rourke reassembled their stellar panel of contributors, added manymore, and together thoroughly revised their work to make the most important results and methods, both classic and cutting-edge, accessible in one convenient volume. Now over more then 1500 pages, the Handbook of Discrete and Computational Geometry, Second Edition once again provides unparalleled, authoritative coverage of theory, methods, and applications. Highlights of the Second Edition: Thirteen new chapters: Five on applications and others on collision detection, nearest neighbors in high-dimensional spaces, curve and surface reconstruction, embeddings of finite metric spaces, polygonal linkages, the discrepancy method, and geometric graph theory Thorough revisions of all remaining chapters Extended coverage of computational geometry software, now comprising two chapters: one on the LEDA and CGAL libraries, the other on additional software Two indices: An Index of Defined Terms and an Index of Cited Authors Greatly expanded bibliographies

Graphics and Robotics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642792103
Total Pages : 251 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Graphics and Robotics by : Wolfgang Straßer

Download or read book Graphics and Robotics written by Wolfgang Straßer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems common to graphics and robotics are covered in this reviewed selection of papers written following a 1993 workshop. Leading experts from both disciplines met to identify common problems, to present new solutions, and to discuss future research directions. Topics covered include robot simulation using graphics workstations, simulation concepts in the framework of teleoperation, path planning strategies, collision detection techniques, experimentation using virtual reality, modeling techniques for automated programming and for objects with curved surfaces, object-oriented implementations, various aspects of robot vision, and - in a paper that reflects the essence of the workshop - the challenging task of designing a vision system for a domestic robot.

Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms

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Publisher : SIAM
ISBN 13 : 9780898713664
Total Pages : 608 pages
Book Rating : 4.7/5 (136 download)

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Book Synopsis Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms by :

Download or read book Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms written by and published by SIAM. This book was released on 1996-01-01 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text covers the proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms, which was held in Atlanta, Georgia, in January 1996.