Probabilistic methods in combinatorial analysis
Vladimir N. Sachkov, V. A. Vatutin
This work explores the role of probabilistic methods for solving combinatorial problems. The subjects studied 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 define 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 important book describes many ideas not previously available in English and will be of interest to graduate students and professionals in mathematics and probability theory.
Категории:
Год:
1997
Издательство:
Cambridge University Press
Язык:
english
Страницы:
256
ISBN 10:
052145512X
ISBN 13:
9780521455121
Серия:
Encyclopedia of mathematics and its applications 56
Файл:
DJVU, 1.97 MB
IPFS:
,
english, 1997