03025nam 2200469 450 99646683730331620221003132412.09783030941062(electronic bk.)9783030941055(MiAaPQ)EBC6893378(Au-PeEL)EBL6893378(CKB)21281948200041(PPN)260832391(EXLCZ)992128194820004120221003d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSpatial networks a complete introduction : from graph theory and statistical physics to real-world applications /Marc BarthelemyCham, Switzerland :Springer,[2022]©20221 online resource (443 pages) illustrations (some color)Print version: Barthelemy, Marc Spatial Networks Cham : Springer International Publishing AG,c2022 9783030941055 Includes bibliographical references and index.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 ModelsThis 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.System analysisStatistical physicsStatisticsSystem analysis.Statistical physics.Statistics.003Barthelemy Marc1965-517654MiAaPQMiAaPQMiAaPQ996466837303316Spatial Networks2784786UNISA01244nam1 22003011i 450 RML027964520231121125729.020121121f ||||0itac50 bagrcenggbz01i xxxe z01nDescription of the GreecePausaniasCambridge (Mass.)London Harvard University Pressv.17 cmTrad. inglese a fronte001RML02796462001 1.: Books 1. and 2.Pausaniaswith an english translation by W. H. S. Jones001RML02796472001 2.: Books 3.-5.Pausaniaswith an english translation by W. H. S. Jones and H. A. Ormerod001RML02796482001 3.: Books 6.-8. (1-21)Pausaniaswith an english translation by W. H. S. Jones001RML02796492001 4.: Books 8.(22)-10.Pausaniaswith an english translation by W. H. S. Jones001RML02796502001 5.: Companion volume, containing illustrations and indexprepared by R. E. WycherleyPausaniasRMLV156954163943ITIT-0120121121RML02796455 52Description of the Greece3626461UNICAS