Combinatorial Species and Tree-like Structures

by François Bergeron, Gilbert Labelle, Pierre Leroux, Margaret Readdy

Overview

The combinatorial theory of species, introduced by Joyal in 1980, provides a unified understanding of the use of generating functions for both labeled and unlabeled structures as well as a tool for the specification and analysis of these structures. This key reference presents the basic elements of the theory and gives a unified account of its developments and applications. The authors offer a modern introduction to the use of various generating functions, with applications to graphical enumeration, Polya Theory and analysis of data structures in computer science, and to other areas such as special functions, functional equations, asymptotic analysis, and differential equations.

Product Details

ISBN-13:	9780521573238
Publisher:	Cambridge University Press
Publication date:	11/13/1997
Series:	Encyclopedia of Mathematics and its Applications , #67
Edition description:	New Edition
Pages:	480
Product dimensions:	6.38(w) x 9.57(h) x 1.26(d)

Table of Contents

1. Introduction to species of structures; 2. Complements on species of structures; 3. Combinatorial functional equations; 4. Complements on types of structures; 5. Species on totally ordered sets.

Editorial Reviews

"This is an excellent account of the theory of species, and should make this powerful approach to an important area of combinatorics much more accessible." Mathematical Reviews

From the Publisher