Combinatorial Species and Tree-like Structures
Combinatorial Species and Tree-like Structures
Gilbert Labelle, Université du Québec, Montréal
Pierre Leroux, Université du Québec, Montréal
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$241.00
(C) USDThe 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.
- A clear and modern explanation of when to use the different types of generating series
- Over 350 exercises of varied difficulty
- Results are summarised into tables of species and associated generating species
Reviews & endorsements
"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
Product details
November 1997Hardback
9780521573238
480 pages
243 × 162 × 32 mm
0.8kg
135 b/w illus. 19 tables
Available
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.
