ABSTRACT

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

chapter 1|6 pages

Introduction

chapter 2|20 pages

Surfaces and maps

chapter 4|26 pages

Generating series and conjectures

chapter 5|42 pages

Maps in Orientable Surfaces

chapter 6|24 pages

Maps in Nonorientable Surfaces

chapter 7|14 pages

Face Regular Maps and Hypermaps

chapter 8|58 pages

Associated Graphs and their Maps

chapter 9|20 pages

Numbers of Rooted Maps

chapter 10|8 pages

Numbers of Unrooted maps

chapter 11|6 pages

Nonrealizable pairs of partitions

chapter 12|26 pages

Map Polynomials