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Combinatorial methods in discrete mathematics

Author: Vladimir Nikolaevich Sachkov
Publisher: Cambridge ; New York, NY, USA : Cambridge University Press, 1996.
Series: Encyclopedia of mathematics and its applications, volume 55.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This is an attempt to present some complex problems of discrete mathematics in a simple and unified form using an original, general combinatorial scheme. The author's aim is not always to present the most general results, but rather to focus attention on those that illustrate the methods described. A distinctive aspect of the book is the large number of asymptotic formulae derived. Professor Sachkov begins with a  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Sachkov, Vladimir Nikolaevich.
Combinatorial methods in discrete mathematics
(DLC) 94030890
(OCoLC)30972028
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Vladimir Nikolaevich Sachkov
ISBN: 9781107088689 1107088682
OCLC Number: 861692408
Description: 1 online resource (xiii, 306 pages) : illustrations.
Contents: 1. Combinatorial configurations --
2. Transversals and permanents --
3. Generating functions --
4. Graphs and mappings --
5. The general combinatorial scheme --
6. Polya's theorem and its applications.
Series Title: Encyclopedia of mathematics and its applications, volume 55.
Other Titles: Kombinatornye metody diskretnoĭ matematiki.
Responsibility: Vladimir N. Sachkov.
More information:

Abstract:

This is an attempt to present some complex problems of discrete mathematics in a simple and unified form using an original, general combinatorial scheme. The author's aim is not always to present the most general results, but rather to focus attention on those that illustrate the methods described. A distinctive aspect of the book is the large number of asymptotic formulae derived. Professor Sachkov begins with a discussion of block designs and Latin squares before proceeding to treat transversals, devoting much attention to enumerative problems. The main role in these problems is played by generating functions, which are considered in Chapter 4. The general combinatorial scheme is then introduced and, in the final chapter, Polya's enumerative theory is discussed. This is an important book, describing many ideas not previously available in English; the author has taken the opportunity to update the text and references where appropriate.

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