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Author: Komei Fukuda
Publisher: National Library of Canada
ISBN: 9780315109414
Category :
Languages : en
Pages :
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Book Description
![Oriented Matroid Programming [microform] PDF](https://books.google.com/books/content/images/frontcover/gTmvwgEACAAJ?fife=w80-h100)
Author: Komei Fukuda
Publisher: National Library of Canada
ISBN: 9780315109414
Category :
Languages : en
Pages :
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Book Description
Author: Anders Björner
Publisher: Cambridge University Press
ISBN: 052177750X
Category : Mathematics
Languages : en
Pages : 564
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Book Description
First comprehensive, accessible account; second edition has expanded bibliography and a new appendix surveying recent research.
Author: Jürgen Bokowski
Publisher: Cambridge University Press
ISBN: 0521849306
Category : Computers
Languages : en
Pages : 294
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Book Description
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.
Author: Douglas Alan Miller
Publisher:
ISBN:
Category :
Languages : en
Pages : 234
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Book Description
Author:
Publisher:
ISBN:
Category : Canada
Languages : en
Pages : 1292
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Author:
Publisher:
ISBN: 9781107101272
Category : Electronic books
Languages : en
Pages : 548
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Book Description
Oriented matroids are a very natural mathematical concept which presents itself in many different guises and which has connections and applications to many different areas. These include discrete and computational geometry, combinatorics, convexity, topology, algebraic geometry, operations research, computer science and theoretical chemistry. This is the second edition of the first comprehensive, accessible account of the subject. It is intended for a diverse audience: graduate students who wish to learn the subject from scratch; researchers in the various fields of application who want to concentrate on certain aspects of the theory; specialists who need a thorough reference work; and others at academic points in between. A list of exercises and open problems ends each chapter. For the second edition, the authors have expanded the bibliography greatly to ensure that it remains comprehensive and up-to-date, and they have also added an appendix surveying research since the work was first published.
Author: J. Clausen
Publisher:
ISBN:
Category :
Languages : en
Pages : 16
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Author: James G. Oxley
Publisher: Oxford University Press, USA
ISBN: 9780199202508
Category : Mathematics
Languages : en
Pages : 550
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Book Description
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.
Author: R.v. Randow
Publisher: Springer Science & Business Media
ISBN: 3642464491
Category : Business & Economics
Languages : en
Pages : 349
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Book Description
Author: Bernhard Korte
Publisher: Springer Science & Business Media
ISBN: 3540292977
Category : Mathematics
Languages : en
Pages : 596
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Book Description
This well-written textbook on combinatorial optimization puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete (but concise) proofs, as well as many deep results, some of which have not appeared in any previous books.
