Description
I. Characterization
1. Planar graphs
2. Simple measures
3. Betweenness centrality
4. Simplicity and Entropy
5. The shape of shortest paths
6. Spatial dominance
7. Typology of spatial networks
8. Time evolution of spatial networks
II. Models
1. Spatial random graphs
2. Tesselations of the plane
3. Random geometric graphs
4. beta-skeletons
5. Loops and branches
6. Optimal networks
7. Growing networks
8. Greedy models
9. Transitions in spatial networks
10. Multilayer networks
III. Discussion and perspectives
Author: Marc Barthelemy
Publisher: Springer
Published: 02/21/2022
Pages: 437
Binding Type: Hardcover
Weight: 1.80lbs
Size: 9.21h x 6.14w x 1.00d
ISBN13: 9783030941055
ISBN10: 3030941051
BISAC Categories:
- Mathematics | Graphic Methods
- Science | Physics | Mathematical & Computational
- Mathematics | Probability & Statistics | General
About the Author
Marc Barthelemy is a former student of the Ecole Normale Superieure of Paris. In 1992, He graduated at the University of Paris VI with a thesis in theoretical physics titled "Random walks in random media". After his thesis, he focused on disordered systems and their properties, and since 1992, he have held a permanent position at the CEA. Presently, Marc Barthelemy is a research director at the Institute of Theoretical Physics (IPhT) in Saclay and a member of the Center of Social Analysis and Mathematics (CAMS) at the Ecole des Hautes Etudes en Sciences Sociales (EHESS).
His research interests moved towards applications of statistical physics to complex systems, complex networks, theoretical epidemiology, and more recently on spatial networks. Focusing on both data analysis and modeling with the tools of statistical physics, Barthelemy is currently also working on various aspects of the emerging science of cities.
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