Matroid Applications
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Matroid Applications
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Author : Neil White
language : en
Publisher: Cambridge University Press
Release Date : 1992-03-05
Matroid Applications written by Neil White 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 1992-03-05 with Mathematics categories.
This volume, the third in a sequence that began with The Theory of Matroids and Combinatorial Geometries, concentrates on the applications of matroid theory to a variety of topics from engineering (rigidity and scene analysis), combinatorics (graphs, lattices, codes and designs), topology and operations research (the greedy algorithm).
Matroid Theory And Its Applications In Electric Network Theory And In Statics
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Author : Andras Recski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Matroid Theory And Its Applications In Electric Network Theory And In Statics written by Andras Recski 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 2013-06-29 with Mathematics categories.
I. The topics of this book The concept of a matroid has been known for more than five decades. Whitney (1935) introduced it as a common generalization of graphs and matrices. In the last two decades, it has become clear how important the concept is, for the following reasons: (1) Combinatorics (or discrete mathematics) was considered by many to be a collection of interesting, sometimes deep, but mostly unrelated ideas. However, like other branches of mathematics, combinatorics also encompasses some gen eral tools that can be learned and then applied, to various problems. Matroid theory is one of these tools. (2) Within combinatorics, the relative importance of algorithms has in creased with the spread of computers. Classical analysis did not even consider problems where "only" a finite number of cases were to be studied. Now such problems are not only considered, but their complexity is often analyzed in con siderable detail. Some questions of this type (for example, the determination of when the so called "greedy" algorithm is optimal) cannot even be answered without matroidal tools.
Matroid Theory And Its Applications
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Author : Adriano Barlotti
language : en
Publisher:
Release Date : 1982
Matroid Theory And Its Applications written by Adriano Barlotti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Matroids categories.
Matrices And Matroids For Systems Analysis
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Author : Kazuo Murota
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-11-29
Matrices And Matroids For Systems Analysis written by Kazuo Murota 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 1999-11-29 with Mathematics categories.
A matroid is an abstract mathematical structure that captures combinatorial properties of matrices. This book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis. This book serves also as a comprehensive presentation of the theory and application of mixed matrices, developed primarily by the present author in the 1990's. A mixed matrix is a convenient mathematical tool for systems analysis, compatible with the physical observation that "fixed constants" and "system parameters" are to be distinguished in the description of engineering systems. This book will be extremely useful to graduate students and researchers in engineering, mathematics and computer science. From the reviews: "...The book has been prepared very carefully, contains a lot of interesting results and is highly recommended for graduate and postgraduate students." András Recski, Mathematical Reviews Clippings 2000m:93006
Matroid Theory
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Author : J. G. Oxley
language : en
Publisher: Oxford University Press, USA
Release Date : 2006
Matroid Theory written by J. G. Oxley and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
The study of matroids is a branch of discrete mathematics with basic links to graphs, lattices, codes, transversals, and projective geometries. Matroids are of fundamental importance in combinatorial optimization and their applications extend into electrical engineering and statics. This incisive survey of matroid theory falls into two parts: the first part provides a comprehensive introduction to the basics of matroid theory while the second treats more advanced topics. The book contains over five hundred exercises and includes, for the first time in one place, short proofs for most of the subjects' major theorems. The final chapter lists sixty unsolved problems and details progress towards their solutions.
Oriented Matroids
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Author : Anders Björner
language : en
Publisher:
Release Date : 1999
Oriented Matroids written by Anders Björner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Linear programming categories.
First comprehensive, accessible account; second edition has expanded bibliography and a new appendix surveying recent research.
Computational Oriented Matroids
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Author : Jürgen Bokowski
language : en
Publisher: Cambridge University Press
Release Date : 2006-05-08
Computational Oriented Matroids written by Jürgen Bokowski 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 2006-05-08 with Computers categories.
Oriented matroids play the role of matrices in discrete geometry, when metrical properties, such as angles or distances, are neither required nor available. Thus they are of great use in such areas as graph theory, combinatorial optimization and convex geometry. The variety of applications corresponds to the variety of ways they can be defined. Each of these definitions corresponds to a differing data structure for an oriented matroid, and handling them requires computational support, best realised through a functional language. Haskell is used here, and, for the benefit of readers, the book includes a primer on it. The combination of concrete applications and computation, the profusion of illustrations, many in colour, and the large number of examples and exercises make this an ideal introductory text on the subject. It will also be valuable for self-study for mathematicians and computer scientists working in discrete and computational geometry.
Matroid Theory
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Author : Joseph Edmond Bonin
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Matroid Theory written by Joseph Edmond Bonin 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 1996 with Mathematics categories.
This volume contains the proceedings of the 1995 AMS-IMS-SIAM Joint Summer Research Conference on Matroid Theory held at the University of Washington, Seattle. The book features three comprehensive surveys that bring the reader to the forefront of research in matroid theory. Joseph Kung's encyclopedic treatment of the critical problem traces the development of this problem from its origins through its numerous links with other branches of mathematics to the current status of its many aspects. James Oxley's survey of the role of connectivity and structure theorems in matroid theory stresses the influence of the Wheels and Whirls Theorem of Tutte and the Splitter Theorem of Seymour. Walter Whiteley's article unifies applications of matroid theory to constrained geometrical systems, including the rigidity of bar-and-joint frameworks, parallel drawings, and splines. These widely accessible articles contain many new results and directions for further research and applications. The surveys are complemented by selected short research papers. The volume concludes with a chapter of open problems. Features: Self-contained, accessible surveys of three active research areas in matroid theory. Many new results. Pointers to new research topics. A chapter of open problems. Mathematical applications. Applications and connections to other disciplines, such as computer-aided design and electrical and structural engineering.
Matroid Theory
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Author : László Lovász
language : en
Publisher: North Holland
Release Date : 1985
Matroid Theory written by László Lovász and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Science categories.
Matroids A Geometric Introduction
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Author : Gary Gordon
language : en
Publisher: Cambridge University Press
Release Date : 2012-08-02
Matroids A Geometric Introduction written by Gary Gordon 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 2012-08-02 with Mathematics categories.
Matroid theory is a vibrant area of research that provides a unified way to understand graph theory, linear algebra and combinatorics via finite geometry. This book provides the first comprehensive introduction to the field which will appeal to undergraduate students and to any mathematician interested in the geometric approach to matroids. Written in a friendly, fun-to-read style and developed from the authors' own undergraduate courses, the book is ideal for students. Beginning with a basic introduction to matroids, the book quickly familiarizes the reader with the breadth of the subject, and specific examples are used to illustrate the theory and to help students see matroids as more than just generalizations of graphs. Over 300 exercises are included, with many hints and solutions so students can test their understanding of the materials covered. The authors have also included several projects and open-ended research problems for independent study.