Probabilistic Methods in Combinatorial Analysis

Name: Probabilistic Methods in Combinatorial Analysis
Brand: Cambridge University Press
SKU: 9780521172776
Price: 371.62 RON
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Autor: Vladimir N. Sachkov

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Editura: Cambridge University Press

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

Informații despre carte

Autor

Vladimir N. Sachkov

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2011

Pagini

258

EAN

9780521172776

ISBN

0521172772

Enbook ID

02024522

Editura

Cambridge University Press

Greutate

370

Dimensiuni

156 x 234 x 14

Descriere completă

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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