Theory Of Matroids
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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 Language Arts & Disciplines categories.
This friendly introduction helps undergraduate students understand and appreciate matroid theory and its connections to geometry.
Matroid Theory
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Author : James Oxley
language : en
Publisher: OUP Oxford
Release Date : 2011-02-24
Matroid Theory written by James Oxley and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-24 with Mathematics categories.
This major revision of James Oxley's classic Matroid Theory provides a comprehensive introduction to the subject, covering the basics to more advanced topics. With over 700 exercises and proofs of all relevant major theorems, this book is the ideal reference and class text for academics and graduate students in mathematics and computer science.
Matroid Theory
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Author : D. J. A. Welsh
language : en
Publisher: Courier Corporation
Release Date : 2010-01-01
Matroid Theory written by D. J. A. Welsh and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Mathematics categories.
The theory of matroids connects disparate branches of combinatorial theory and algebra such as graph and lattice theory, combinatorial optimization, and linear algebra. This text describes standard examples and investigation results, and it uses elementary proofs to develop basic matroid properties before advancing to a more sophisticated treatment. 1976 edition.
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
Introduction To The Theory Of Matroids
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Author : W. T. Tutte
language : en
Publisher: Elsevier Publishing Company
Release Date : 1971
Introduction To The Theory Of Matroids written by W. T. Tutte and has been published by Elsevier Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
Coxeter Matroids
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Author : Alexandre V. Borovik
language : en
Publisher: Birkhäuser
Release Date : 2003-07-11
Coxeter Matroids written by Alexandre V. Borovik and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-11 with Mathematics categories.
Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry, and "Coxeter Matroids" provides an intuitive and interdisciplinary treatment of their theory. In this text, matroids are examined in terms of symmetric and finite reflection groups; also, symplectic matroids and the more general coxeter matroids are carefully developed. The Gelfand-Serganova theorem, which allows for the geometric interpretation of matroids as convex polytopes with certain symmetry properties, is presented, and in the final chapter, matroid representations and combinatorial flag varieties are discussed. With its excellent bibliography and index and ample references to current research, this work will be useful for graduate students and research mathematicians.
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).
Combinatorial Optimization
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Author : Eugene Lawler
language : en
Publisher: Courier Corporation
Release Date : 2012-10-16
Combinatorial Optimization written by Eugene Lawler and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-16 with Mathematics categories.
Perceptive text examines shortest paths, network flows, bipartite and nonbipartite matching, matroids and the greedy algorithm, matroid intersections, and the matroid parity problems. Suitable for courses in combinatorial computing and concrete computational complexity.
Theory Of Matroids
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Author : Neil White
language : en
Publisher:
Release Date : 1986
Theory Of Matroids written by Neil White and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Electronic books categories.
Matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems.
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.