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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Spatial Networks/ by Marc Barthelemy.
Reminder of title:	A Complete Introduction: From Graph Theory and Statistical Physics to Real-World Applications /
Author:	Barthelemy, Marc.
Description:	XIX, 437 p. 241 illus., 157 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Graph theory. -
Online resource:	https://doi.org/10.1007/978-3-030-94106-2
ISBN:	9783030941062

Spatial Networks = A Complete Introduction: From Graph Theory and Statistical Physics to Real-World Applications /
Barthelemy, Marc.

Spatial NetworksA Complete Introduction: From Graph Theory and Statistical Physics to Real-World Applications /[electronic resource] :by Marc Barthelemy. - 1st ed. 2022. - XIX, 437 p. 241 illus., 157 illus. in color.online resource.

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.

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.

ISBN: 9783030941062

Standard No.: 10.1007/978-3-030-94106-2doiSubjects--Topical Terms:

527884
Graph theory.

LC Class. No.: QA166-166.247

Dewey Class. No.: 511.5

Spatial Networks = A Complete Introduction: From Graph Theory and Statistical Physics to Real-World Applications /
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505 0 $a 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.
520 $a 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.
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