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    block this user Matthew Cook Trusted member

    Assistant Professor

    Institute of Neuroinformatics, University of Zurich and ETH Zurich
    Visiting Associate, Caltech
    University of Zurich and ETH Zurich, Institute of Neuroinformatics

    Continuum percolation with unreliable and spread out connections

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    We derive percolation results in the continuum plane that lead to what appears to be a general tendency of many stochastic network models. Namely, when the selection mechanism according to which nodes are connected to each other, is sufficiently spread out, then a lower density of nodes, or on average fewer connections per node, are sufficient to obtain an unbounded connected component. We look at two different transformations that spread out connections and decrease the critical percolation density while preserving the average node degree. Our results indicate that real networks can exploit the presence of spread-out and unreliable connections to achieve connectivity more easily, provided they can maintain the average number of functioning connections per node.

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    Description

    Title : Continuum percolation with unreliable and spread out connections
    Abstract : We derive percolation results in the continuum plane that lead to what appears to be a general tendency of many stochastic network models. Namely, when the selection mechanism according to which nodes are connected to each other, is sufficiently spread out, then a lower density of nodes, or on average fewer connections per node, are sufficient to obtain an unbounded connected component. We look at two different transformations that spread out connections and decrease the critical percolation density while preserving the average node degree. Our results indicate that real networks can exploit the presence of spread-out and unreliable connections to achieve connectivity more easily, provided they can maintain the average number of functioning connections per node.
    Subject : unspecified
    Area : Computer Science
    Language : English
    Affiliations
    Url : http://www.paradise.caltech.edu/~massimo/homepage/papers/PercSpread.pdf
    Doi : 10.1.1.121.7783

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