Articles producció científica> Enginyeria Informàtica i Matemàtiques

Functional Multiplex PageRank

  • Identification data

    Identifier: PC:2538
    Authors:
    Alex ArenasJacopo IacovacciChristoph RahmedeGinestra Bianconi
    Abstract:
    Recently it has been recognized that many complex social, technological and biological networks have a multilayer nature and can be described by multiplex networks. Multiplex networks are formed by a set of nodes connected by links having different connotations forming the different layers of the multiplex. Characterizing the centrality of the nodes in a multiplex network is a challenging task since the centrality of the node naturally depends on the importance associated to links of a certain type. Here we propose to assign to each node of a multiplex network a centrality called Functional Multiplex PageRank that is a function of the weights given to every different pattern of connections (multilinks) existent in the multiplex network between any two nodes. Since multilinks distinguish all the possible ways in which the links in different layers can overlap, the Functional Multiplex PageRank can describe important non-linear effects when large relevance or small relevance is assigned to multilinks with overlap. Here we apply the Functional Page Rank to the multiplex airport networks, to the neuronal network of the nematode C. elegans, and to social collaboration and citation networks between scientists. This analysis reveals important differences existing between the most central nodes of these networks, and the correlations between their so-called pattern to success.
  • Others:

    Author, as appears in the article.: Alex Arenas; Jacopo Iacovacci; Christoph Rahmede; Ginestra Bianconi
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: ARENAS MORENO, ALEJANDRO; Jacopo Iacovacci; Christoph Rahmede; Ginestra Bianconi
    Keywords: Multiplex networks
    Abstract: Recently it has been recognized that many complex social, technological and biological networks have a multilayer nature and can be described by multiplex networks. Multiplex networks are formed by a set of nodes connected by links having different connotations forming the different layers of the multiplex. Characterizing the centrality of the nodes in a multiplex network is a challenging task since the centrality of the node naturally depends on the importance associated to links of a certain type. Here we propose to assign to each node of a multiplex network a centrality called Functional Multiplex PageRank that is a function of the weights given to every different pattern of connections (multilinks) existent in the multiplex network between any two nodes. Since multilinks distinguish all the possible ways in which the links in different layers can overlap, the Functional Multiplex PageRank can describe important non-linear effects when large relevance or small relevance is assigned to multilinks with overlap. Here we apply the Functional Page Rank to the multiplex airport networks, to the neuronal network of the nematode C. elegans, and to social collaboration and citation networks between scientists. This analysis reveals important differences existing between the most central nodes of these networks, and the correlations between their so-called pattern to success.
    Research group: Algorithms embedded in Physical Systems
    Thematic Areas: Computer engineering Ingeniería informática Enginyeria informàtica
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    ISSN: 0295-5075
    Author identifier: 0000-0003-0937-0334; n/a; n/a; n/a
    Record's date: 2017-01-19
    Journal volume: 116
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: https://iopscience.iop.org/article/10.1209/0295-5075/116/28004
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Article's DOI: 10.1209/0295-5075/116/28004
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2016
    First page: Article number 28004
    Publication Type: Article Artículo Article
  • Keywords:

    Xarxes complexes
    Multiplex networks
    Computer engineering
    Ingeniería informática
    Enginyeria informàtica
    0295-5075
  • Documents:

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