Combinatorial methods in discrete mathematics / Vladimir N. Sachkov.

Format:

Book

Author/Creator:

Sachkov, Vladimir Nikolaevich, author.

Series:

Encyclopedia of mathematics and its applications ; v. 55.

Encyclopedia of mathematics and its applications ; volume 55

Standardized Title:

Kombinatornye metody diskretnoĭ matematiki. English

Language:

English

Subjects (All):

Combinatorial analysis.

Physical Description:

1 online resource (xiii, 306 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1996.

Language Note:

English

Summary:

Originally published in 1996, this is a presentation of 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 ones 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 3. The general combinatorial scheme is then introduced and in the last 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 chance to update the text and references where appropriate.

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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 295-302) and index.

ISBN:

1-139-88495-6

0-511-96047-6

1-107-10307-X

0-521-17276-4

0-511-66618-7

0-511-88489-3

1-107-09489-5

1-107-08868-2

1-107-09160-8

OCLC:

862939743