Probabilistic methods in combinatorial analysis /
This 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, they also allow us to use the powerful technique of limit theo...
| Основен автор: | Sachkov, Vladimir Nikolaevich. |
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| Формат: | Електронна книга |
| Език: | English Russian |
| Публикувано: |
Cambridge ; New York :
Cambridge University Press,
1997.
|
| Серия: |
Encyclopedia of mathematics and its applications ;
volume 56. |
| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569292 |
| Подобни документи: |
Print version::
Probabilistic methods in combinatorial analysis |
| Резюме: |
This 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, they also allow us to 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 the use of probabilistic methods in order to obtain asymptotic formulae that are difficult to derive using combinatorial methods. This is an important book, describing many ideas not previously available in English; the author has taken the opportunity to rewrite parts of the original Russian text and to refresh the references where appropriate. |
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| Физически характеристики: |
1 online resource (x, 246 pages) : illustrations. |
| Библиография: |
Includes bibliographical references (pages 237-243) and index. |
| ISBN: |
9781107088672 1107088674 |