Graph Theory and Geography: An Interactive View

Sandra L. Arlinghaus, William C. Arlinghaus, Frank Harary

Table of Contents

Preface

Chapter 1   Geography and Graph Theory

Chapter 1c   Graph Theory and Geography

Chapter 2   The Berlin Rohrpost and Centrality

Chapter 2c   Centrality and the Berlin Rohrpost

Chapter 3   The Parisian Pneumatique and Orientation

Chapter 3c    Orientation and the Parisian Pneumatique

Chapter 4   Chicago, New York, and Connectivity

Chapter 4c   Connectivity, Chicago and New York

Chapter 5   The Paris Metro and Planarity

Chapter 5c   Planarity and the Paris Metro

Chapter 6   Transportation Routes and Network Algorithms

Chapter 6c   Network Algorithms and Transportation Routes

Chapter 7   Maps and the Four Color Theorem

Chapter 7c   The Four Color Theorem and Maps

Chapter 8   Symmetry and Geography: Spatial Transformations

Chapter 8c   Symmetry and Mathematics: Automorphism Groups of Graphs

Glossary

Bibliography

Comment about the eBook

Click on highlighted links for further information. Basic chapters focus on a geographic approach; complementary chapters focus on the mathematics behind the geography. The order of the chapters is based on degree of difficulty of the underlying mathematics.

Cover image:  part of a map of Konigsberg from 1890 Baedeker Atlas of Northern Germany, public domain electronic image provided by Generations Press.