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Spatial networksa complete introduction: from graph theory and statistical physics to real-world applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Spatial networksby Marc Barthelemy.
Reminder of title:	a complete introduction: from graph theory and statistical physics to real-world applications /
Author:	Barthelemy, Marc.
Published:	Cham :Springer International Publishing :2022.
Description:	xix, 437 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	System analysis.
Online resource:	https://doi.org/10.1007/978-3-030-94106-2
ISBN:	9783030941062$q(electronic bk.)

Spatial networksa 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. - Cham :Springer International Publishing :2022. - xix, 437 p. :ill. (some col.), digital ;24 cm.

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$q(electronic bk.)

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

182013
System analysis.

LC Class. No.: QA402 / .B37 2022

Dewey Class. No.: 003

Spatial networksa complete introduction: from graph theory and statistical physics to real-world applications /
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245 1 0 $a Spatial networks $h [electronic resource] : $b a complete introduction: from graph theory and statistical physics to real-world applications / $c by Marc Barthelemy.
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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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