PROBABILISTIC METHODS IN COMBINATORIAL ANALYSIS by Vladimir N. Sachkov, V. A. Vatutin (Trans) ( 9780521172776 )

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Title:

PROBABILISTIC METHODS IN COMBINATORIAL ANALYSIS

By:

Vladimir N. Sachkov, V. A. Vatutin (Trans)

Format:

Paperback

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ISBN 10:

0521172772

ISBN 13:

9780521172776

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

25 November, 2010

Series:

Encyclopedia of Mathematics and Its Applications 56

Pages:

258

Translated from:

Russian

Description:

This 1997 book explores the role of probabilistic methods for solving combinatorial problems.

Synopsis:

This 1997 work explores the role of probabilistic methods for solving combinatorial problems. These methods not only provide the means of efficiently using such notions as characteristic and generating functions, the moment method and so on but also let us use the powerful technique of limit theorems. The basic objects under investigation are nonnegative matrices, partitions and mappings of finite sets, with special emphasis on permutations and graphs, and equivalence classes specified on sequences of finite length consisting of elements of partially ordered sets; these specify the probabilistic setting of Sachkov's general combinatorial scheme. The author pays special attention to using probabilistic methods to obtain asymptotic formulae that are difficult to derive using combinatorial methods. This was an important book, describing many ideas not previously available in English; the author has taken the chance to rewrite parts of the text and refresh the references where appropriate.

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Imprint:

Cambridge University Press

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Returnable

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BRANCHING PROCESSES (HB)

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COMBINATORIAL METHODS IN DISCRETE MATHEMATICS (HB)

COMBINATORIAL METHODS IN DISCRETE MATHEMATICS (PB)

COMBINATORICS OF NONNEGATIVE MATRICES (HB)

PROBABILISTIC METHODS IN COMBINATORIAL ANALYSIS