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    Network partition via a bound of the spectral radius 
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    Network partition via a bound of the spectral radius

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    arXiv (895.2Kb)
    Volume
    5
    Pagination
    513 - 526
    DOI
    10.1093/comnet/cnw029
    Journal
    Journal of Complex Networks
    Issue
    4
    ISSN
    2051-1310
    Metadata
    Show full item record
    Abstract
    © The author 2016. Published by Oxford University Press. Based on the density of connections between the nodes of high degree, we introduce two bounds of the spectral radius. We use these bounds to split a network into two sets, one of these sets contains the high degree nodes, we refer to this set as the spectral-core. The degree of the nodes of the subnetwork formed by the spectral-core can give an approximation to the top entries of the leading eigenvector of the network.We also present some numerical examples showing the dependancy of the spectral-core with the assortativity coefficient, its evaluation in several real networks and how the properties of the spectral-core can be used to reduce the spectral radius.
    Authors
    Mondragön, RJ
    URI
    http://qmro.qmul.ac.uk/xmlui/handle/123456789/13071
    Collections
    • Electronic Engineering and Computer Science [2674]
    Licence information
    arXiv record http://arxiv.org/abs/1512.02461
    Copyright statements
    © The authors 2016.
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