Spatial Networks A Complete Introduction: From Graph Theory and Statistical Physics to Real-World Applications

This book provides a complete introduction into spatial networks. It offers the mathematical tools needed to characterize these structures and how they evolve in time and presents the most important models of spatial networks. The book puts a special emphasis on analyzing complex systems which are o...

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Bibliographic Details
Main Author: Barthelemy, Marc
Format: eBook
Language:English
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • From Complex to Spatial Networks
  • Planar Graphs
  • Directed and Mixed Graphs
  • Simple Measures
  • Betweenness Centrality
  • The Shape of Shortest Paths
  • Simplicity and Entropy
  • Large-Scale Tools
  • Typology of Planar Graphs
  • Measuring the Time Evolution of Spatial Networks
  • Families of Models of Spatial Networks
  • Spatial Small-worlds
  • Growing Spatial Networks
  • Tessellations of the Plane
  • Proximity Graphs
  • Excluded Volume Graphs
  • Loops and Branches
  • Optimal Networks
  • Optimal Transportation Networks and Network Design
  • Greedy Models