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Matroid Theory and its Applications in Electric Network Theory and in Statics (Paperback, Softcover reprint of the original 1st ed. 1989)
Loot Price: R3,059
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Matroid Theory and its Applications in Electric Network Theory and in Statics (Paperback, Softcover reprint of the original 1st ed. 1989)
Series: Algorithms and Combinatorics, 6
Expected to ship within 10 - 15 working days
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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."
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