Generalized friendship paradox in networks with tunable degree-attribute correlation

Hang Hyun Jo, Young Ho Eom

    Research output: Contribution to journalArticleScientificpeer-review

    13 Citations (Scopus)
    98 Downloads (Pure)

    Abstract

    One of the interesting phenomena due to topological heterogeneities in complex networks is the friendship paradox: Your friends have on average more friends than you do. Recently, this paradox has been generalized for arbitrary node attributes, called the generalized friendship paradox (GFP). The origin of GFP at the network level has been shown to be rooted in positive correlations between degrees and attributes. However, how the GFP holds for individual nodes needs to be understood in more detail. For this, we first analyze a solvable model to characterize the paradox holding probability of nodes for the uncorrelated case. Then we numerically study the correlated model of networks with tunable degree-degree and degree-attribute correlations. In contrast to the network level, we find at the individual level that the relevance of degree-attribute correlation to the paradox holding probability may depend on whether the network is assortative or dissortative. These findings help us to understand the interplay between topological structure and node attributes in complex networks.

    Original languageEnglish
    Article number022809
    Pages (from-to)1-6
    JournalPhysical Review E
    Volume90
    Issue number2
    DOIs
    Publication statusPublished - 21 Aug 2014
    MoE publication typeA1 Journal article-refereed

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