An Atlas of the Smaller Maps in Orientable and Nonorientable Surfaces

by David Jackson, Terry I. Visentin

Overview

Maps are beguilingly simple structures with deep and ubiquitous properties. They arise in an essential way in many areas of mathematics and mathematical physics, but require considerable time and computational effort to generate. Few collected drawings are available for reference, and little has been written, in book form, about their enumerative a

Product Details

ISBN-13:	9781040202913
Publisher:	CRC Press
Publication date:	09/15/2000
Series:	Discrete Mathematics and Its Applications
Sold by:	Barnes & Noble
Format:	eBook
Pages:	296
File size:	19 MB
Note:	This product may take a few minutes to download.

About the Author

Jackson\, David; Visentin\, Terry I.

Table of Contents

Preface. MAPS. Introduction. Surfaces and Maps. The Axiomatization and the Encoding of maps. Generating Series and Conjectures. THE ATLAS. Maps in Orientable Surfaces. Maps in Nonorientable Surfaces. Face Regular Maps and Hypermaps. Associated Graphs and their Maps. TABLES. Numbers of Rooted Maps. Numbers of Unrooted Maps. Nonrealizable Pairs of Partitions. Map Polynomials. Bibliography. Glossary. Index.