An atlas of the smaller maps in orientable and nonorientable surfaces /

Bibliographic Details
Main Author:	Jackson, D. M.
Corporate Author:	Taylor & Francis
Other Authors:	Visentin, Terry I.
Format:	eBook
Language:	English
Published:	Boca Raton, FL : Chapman and Hall/CRC, ©2001.
Series:	CRC Press series on discrete mathematics and its applications.
Subjects:	Mappings (Mathematics) Surfaces. Applications (Mathématiques) Surfaces (Mathématiques) MATHEMATICS > Infinity. MATHEMATICS > Logic. Surfaces Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

PREFACE; MAPS; INTRODUCTION; Organization of the Atlas; Further Reading; SURFACES AND MAPS; Representation of Maps and Surfaces; Examples of the Definitions; Using the Atlas; An Application of k-Realizable Partitions; THE AXIOMATIZATION AND THE ENCODING OF MAPS; Orientable Surfaces; Locally Orientable Surfaces; GENERATING SERIES AND CONJECTURES; Generating Series for Hypermaps; Specialization to Maps; The Quadrangulation Conjecture; The b-Conjecture; THE ATLAS; MAPS IN ORIENTABLE SURFACES; Genus 0
The Sphere; Genus 1
The Torus; Genus 2
The Double Torus; MAPS IN NONORIENTABLE SURFACES; Genus 1
The Projective Plane; Genus 2
The Klein Bottle; Genus 3
The Crosscapped Torus; Genus 4
The Doubly Crosscapped Torus; FACE REGULAR MAPS AND HYPERMAPS; Triangulations; Quadrangulations; Hypermaps; ASSOCIATED GRAPHS AND THEIR MAPS; TABLES; NUMBERS OF ROOTED MAPS; Orientable: by Vertex and Face Partition; Nonorientable: by Vertex and Face Partition; Summarized by Edges and Vertices; NUMBERS OF UNROOTED MAPS; Orientable: by Vertex and Face Partition; Nonorientable: by Vertex and Face Partition; NONREALIZABLE PAIRS OF PARTITIONS; For Orientable Surfaces; For Nonorientable Surfaces; MAP POLYNOMIALS; b-Polynomials; Genus Distributions; BIBLIOGRAPHY; GLOSSARY; INDEX