Morphogenesis of Spatial Networks

1. From Complex to Spatial Networks
Marc Barthelemy

2. Irrelevant and Simple Measures
Marc Barthelemy

3. Statistics of Faces and Typology of Planar Graphs
Marc Barthelemy

4. Betweenness Centrality
Marc Barthelemy

5. Simplicity and Entropy
Marc Barthelemy

6. Spatial Dominance and Community Detection
Marc Barthelemy

7. Measuring the Time Evolution of Spatial Networks
Marc Barthelemy

8. Tessellations of the Plane
Marc Barthelemy

9. Random Geometric Graphs
Marc Barthelemy

10. Spatial Generalizations of Random Graphs
Marc Barthelemy

11. Loops and Branches
Marc Barthelemy

12. Optimal Networks
Marc Barthelemy

13. Models of Network Growth
Marc Barthelemy

14. Greedy Models
Marc Barthelemy

15. Discussion and Future Directions
Marc Barthelemy

Keywords: Geography, Urban Geography / Urbanism (inc. megacities, cities, towns), Complex Systems, Graph Theory, Transportation, Civil Engineering