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Field name	Details
Dewey Class	511.6
Title	Matroid Theory and its Applications in Electric Network Theory and in Statics ([EBook] /) / by András Recski.
Author	Recski, András
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1989.
Physical Details	XIII, 533 p. : online resource.
Series	Algorithms and Combinatorics 0937-5511 ; ; 6
ISBN	9783662221433
Summary Note	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.:
Contents note	ONE -- 1 Basic concepts from graph theory -- 2 Applications -- 3 Planar graphs and duality -- 4 Applications -- 5 The theorems of König and Menger -- 6 Applications -- TWO -- 7 Basic concepts in matroid theory -- 8 Applications -- 9 Algebraic and geometric representation of matroids -- 10 Applications -- 11 The sum of matroids I -- 12 Applications -- 13 The sum of matroids II -- 14 Applications -- 15 Matroids induced by graphs -- 16 Applications -- 17 Some recent results in matroid theory -- 18 Applications -- Appendix 1 Some important results in chronological order -- Appendix 2 List of the Boxes -- Appendix 3 List of the Algorithms -- Appendix 4 Solutions to the Exercises and Problems.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-22143-3
Links to Related Works	Subject References: Applied mathematics . Appl.Mathematics/Computational Methods of Engineering . Combinatorics . Electrical engineering . Engineering mathematics . Geometry . Mathematics . Topology . Authors: Recski, András . Corporate Authors: SpringerLink (Online service) . Series: Algorithms and Combinatorics . Classification: 511.6 .

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Matroid Theory and its Applications in Electric Network Theory and in Statics

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