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  1. Article: (with research data) Nonlinear growth: an origin of hub organization in complex networks.

    Bauer, Roman / Kaiser, Marcus

    Royal Society open science

    2017  Volume 4, Issue 3, Page(s) 160691

    Abstract: ... to airline networks. Moreover, nonlinear growth gives a more generic representation of these networks ... the degree) of existing nodes. Here, we introduce hub formation through nonlinear growth where the number ... club organization of networks ranging from protein-protein, neuronal and fibre tract brain networks ...

    Abstract Many real-world networks contain highly connected nodes called hubs. Hubs are often crucial for network function and spreading dynamics. However, classical models of how hubs originate during network development unrealistically assume that new nodes attain information about the connectivity (for example the degree) of existing nodes. Here, we introduce hub formation through nonlinear growth where the number of nodes generated at each stage increases over time and new nodes form connections independent of target node features. Our model reproduces variation in number of connections, hub occurrence time, and rich-club organization of networks ranging from protein-protein, neuronal and fibre tract brain networks to airline networks. Moreover, nonlinear growth gives a more generic representation of these networks compared with previous preferential attachment or duplication-divergence models. Overall, hub creation through nonlinear network expansion can serve as a benchmark model for studying the development of many real-world networks.
    Language English
    Publishing date 2017-03-22
    Publishing country England
    Document type Journal Article
    ZDB-ID 2787755-3
    ISSN 2054-5703
    ISSN 2054-5703
    DOI 10.1098/rsos.160691
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  2. Article ; Online: Nonlinear growth

    Roman Bauer / Marcus Kaiser

    Royal Society Open Science, Vol 4, Iss

    an origin of hub organization in complex networks

    2017  Volume 3

    Abstract: ... to airline networks. Moreover, nonlinear growth gives a more generic representation of these networks ... the degree) of existing nodes. Here, we introduce hub formation through nonlinear growth where the number ... club organization of networks ranging from protein–protein, neuronal and fibre tract brain networks ...

    Abstract Many real-world networks contain highly connected nodes called hubs. Hubs are often crucial for network function and spreading dynamics. However, classical models of how hubs originate during network development unrealistically assume that new nodes attain information about the connectivity (for example the degree) of existing nodes. Here, we introduce hub formation through nonlinear growth where the number of nodes generated at each stage increases over time and new nodes form connections independent of target node features. Our model reproduces variation in number of connections, hub occurrence time, and rich-club organization of networks ranging from protein–protein, neuronal and fibre tract brain networks to airline networks. Moreover, nonlinear growth gives a more generic representation of these networks compared with previous preferential attachment or duplication–divergence models. Overall, hub creation through nonlinear network expansion can serve as a benchmark model for studying the development of many real-world networks.
    Keywords complex networks ; hubs ; neural development ; physical space ; rich-club organization ; nonlinear growth ; Science ; Q
    Subject code 410
    Language English
    Publishing date 2017-01-01T00:00:00Z
    Publisher The Royal Society
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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