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Matroid Theory and Its Applications in Electric Network Theory and in Statics
Andras Recski
€ 105,45
+ 210 punten
Omschrijving
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.
Specificaties
Betrokkenen
- Auteur(s):
- Uitgeverij:
Inhoud
- Aantal bladzijden:
- 533
- Taal:
- Engels
- Reeks:
- Reeksnummer:
- nr. 6
Eigenschappen
- Productcode (EAN):
- 9783662221457
- Verschijningsdatum:
- 3/10/2013
- Uitvoering:
- Paperback
- Formaat:
- Trade paperback (VS)
- Afmetingen:
- 170 mm x 244 mm
- Gewicht:
- 861 g
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