Skip to main content
main-content

About this book

This book develops a morphodynamical approach of spatial networks with a particular emphasis on infrastructure networks such as streets, roads and transportation networks (subway, train). The author presents the mathematical tools needed to characterize these structures and how they evolve in time. The book discusses the most important empirical results and stylized facts, and will present the most important models of spatial networks. The target audience primarily comprises research scientists interested in this rapidly evolving and highly interdisciplinary field, but the book may also be beneficial for graduate students interested in large networks.

Table of Contents

Frontmatter

2018 | OriginalPaper | Chapter

Chapter 1. From Complex to Spatial Networks

Marc Barthelemy

2018 | OriginalPaper | Chapter

Chapter 2. Irrelevant and Simple Measures

Marc Barthelemy

2018 | OriginalPaper | Chapter

Chapter 3. Statistics of Faces and Typology of Planar Graphs

Marc Barthelemy

2018 | OriginalPaper | Chapter

Chapter 4. Betweenness Centrality

Marc Barthelemy

2018 | OriginalPaper | Chapter

Chapter 5. Simplicity and Entropy

Marc Barthelemy

2018 | OriginalPaper | Chapter

Chapter 6. Spatial Dominance and Community Detection

Marc Barthelemy

2018 | OriginalPaper | Chapter

Chapter 7. Measuring the Time Evolution of Spatial Networks

Marc Barthelemy

2018 | OriginalPaper | Chapter

Chapter 8. Tessellations of the Plane

Marc Barthelemy

2018 | OriginalPaper | Chapter

Chapter 9. Random Geometric Graphs

Marc Barthelemy

2018 | OriginalPaper | Chapter

Chapter 10. Spatial Generalizations of Random Graphs

Marc Barthelemy

2018 | OriginalPaper | Chapter

Chapter 11. Loops and Branches

Marc Barthelemy

2018 | OriginalPaper | Chapter

Chapter 12. Optimal Networks

Marc Barthelemy

2018 | OriginalPaper | Chapter

Chapter 13. Models of Network Growth

Marc Barthelemy

2018 | OriginalPaper | Chapter

Chapter 14. Greedy Models

Marc Barthelemy

2018 | OriginalPaper | Chapter

Chapter 15. Discussion and Future Directions

Marc Barthelemy

Backmatter

Additional information