Matroid Theory and its Applications in Electric Network Theory and in Statics
Authors: Recski, Andras
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- About this book
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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.
- Table of contents (18 chapters)
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Basic concepts from graph theory
Pages 3-36
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Applications
Pages 37-68
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Planar graphs and duality
Pages 69-91
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Applications
Pages 92-106
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The theorems of König and Menger
Pages 107-130
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Table of contents (18 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Matroid Theory and its Applications in Electric Network Theory and in Statics
- Authors
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- Andras Recski
- Series Title
- Algorithms and Combinatorics
- Series Volume
- 6
- Copyright
- 1989
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-662-22143-3
- DOI
- 10.1007/978-3-662-22143-3
- Softcover ISBN
- 978-3-662-22145-7
- Series ISSN
- 0937-5511
- Edition Number
- 1
- Number of Pages
- XIII, 533
- Additional Information
- Jointly published with Akademiai Kiado, Budapest, Hungary
- Topics
