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Title
Spatial networks : a complete introduction : from graph theory and statistical physics to real-world applications / Marc Barthelemy.
ISBN
9783030941062 (electronic bk.)
303094106X (electronic bk.)
9783030941055
3030941051
Published
Cham : Springer, [2022]
Copyright
©2022
Language
English
Description
1 online resource : illustrations (some color)
Item Number
10.1007/978-3-030-94106-2 doi
Call Number
QA402 .B37 2022
Dewey Decimal Classification
003
Summary
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 organized under the form of networks where nodes and edges are embedded in space. In these networks, space is relevant, and topology alone does not contain all the information. Characterizing and understanding the structure and the evolution of spatial networks is thus crucial for many different fields, ranging from urbanism to epidemiology. This subject is therefore at the crossroad of many fields and is of potential interest to a broad audience comprising physicists, mathematicians, engineers, geographers or urbanists. In this book, the author has expanded his previous book ("Morphogenesis of Spatial Networks") to serve as a textbook and reference on this topic for a wide range of students and professional researchers.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on print version record.
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.