Combinatorial methods in discrete mathematics
By: Vladimir N. Sachkov.
Series: Encyclopedia of mathematics and its applications ;; 55; Encyclopedia of mathematics and its applications ;; v. 55.
Publisher: Cambridge University Press
Published: 1996
Place of publication: Cambridge; New York, NY, USA
Language: eng
Number of pages: 306
Subjects: Combinatorial analysis.
Description: 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.
Notes: Includes bibliographical references (p. 295-302) and index.