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Singularities in Ternary Mixtures of k-core Percolation

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Complex Networks IV

Part of the book series: Studies in Computational Intelligence ((SCI,volume 476))

Abstract

Heterogeneous k-core percolation is an extension of a percolation model which has interesting applications to the resilience of networks under random damage. In this model, the notion of node robustness is local, instead of global as in uniform k-core percolation. One of the advantages of k-core percolation models is the validity of an analytical mathematical framework for a large class of network topologies. We study ternary mixtures of node types in random networks and show the presence of a new type of critical phenomenon. This scenario may have useful applications in the stability of large scale infrastructures and the description of glass-forming systems.

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Authors and Affiliations

  1. MACSI, Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland

    Davide Cellai & James P. Gleeson

Authors
  1. Davide Cellai
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  2. James P. Gleeson
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Correspondence to Davide Cellai .

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Editors and Affiliations

  1. 20 Queensberry st. # 4, Boston, 02215, Massachusetts, USA

    Gourab Ghoshal

  2. Northwestern University, 2145 Sheridan Rd, Evanston, 60208, Illinois, USA

    Julia Poncela-Casasnovas

  3. , Institut fuer Informatik, Freie Universitaet Berlin, Königin-Luise-Str. 24/26, Berlin, 14195, Germany

    Robert Tolksdorf

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Cellai, D., Gleeson, J.P. (2013). Singularities in Ternary Mixtures of k-core Percolation. In: Ghoshal, G., Poncela-Casasnovas, J., Tolksdorf, R. (eds) Complex Networks IV. Studies in Computational Intelligence, vol 476. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36844-8_16

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  • DOI: https://doi.org/10.1007/978-3-642-36844-8_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36843-1

  • Online ISBN: 978-3-642-36844-8

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