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Morphogenesis of spatial networks

Author: Marc Barthelemy
Publisher: Cham : Springer, 2018.
Series: Lecture notes in morphogenesis.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book develops a morphodynamical approach of spatial networks with a particular emphasis on infrastructure networks such as streets, roads and transportation networks (subway, train). The author presents the mathematical tools needed to characterize these structures and how they evolve in time. The book discusses the most important empirical results and stylized facts, and will present the most important models  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Marc Barthelemy
ISBN: 9783319205656 331920565X
OCLC Number: 1017755941
Description: 1 online resource.
Contents: From complex to spatial networks.- Irrelevant and simple measures.- Statistics of faces and typology of planar graphs.- Betweenness centrality.- Simplicity and entropy.- Spatial dominance and community detection.- Measuring the time evolution of spatial networks.- Tessellations of the plane.- Random geometric graphs.- Spatial generalizations of random graphs.- Loops and branches.- Optimal networks.- Models of Network growth.- Greedy models.- Discussion and future directions
Series Title: Lecture notes in morphogenesis.
Responsibility: Marc Barthelemy.

Abstract:

This book develops a morphodynamical approach of spatial networks with a particular emphasis on infrastructure networks such as streets, roads and transportation networks (subway, train). The book  Read more...

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