Probabilistic Methods in Combinatorial Analysis
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Probabilistic Methods in Combinatorial Analysis by Vladimir N. Sachkov
Book DescriptionThis 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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Book DetailsISBN: 9780521455121
(234mm x 156mm x 16mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 15-May-1997
Country of Publication: United Kingdom
Books By Author Vladimir N. Sachkov
Combinatorial Methods in Discrete Mathematics, Paperback (February 2011)
A 1996 account of some complex problems of discrete mathematics in a simple and unified form.
Probabilistic Methods in Combinatorial Analysis, Paperback (February 2011)» View all books by Vladimir N. Sachkov
This 1997 book explores the role of probabilistic methods for solving combinatorial problems.
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