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Spatial networks = a complete introd...

Barthelemy, Marc.

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

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Spatial networks/ by Marc Barthelemy.
其他題名:	a complete introduction: from graph theory and statistical physics to real-world applications /
作者:	Barthelemy, Marc.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	xix, 437 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	System analysis. -
電子資源:	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. - 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

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

545616
System analysis.

LC Class. No.: QA402 / .B37 2022

Dewey Class. No.: 003

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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