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Generalized friendship paradox in networks with tunable degree-attribute correlation

Jo, Hang-Hyun and Eom, Young-Ho Generalized friendship paradox in networks with tunable degree-attribute correlation. Physical Review E, 90. 022809. ISSN 1539-3755 (2014)

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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.

Item Type: Article
Identification Number: 10.1103/PhysRevE.90.022809
Additional Information: © 2014 American Physical Society
Uncontrolled Keywords: PACS number(s): 89.75.−k, 89.65.−s
Subjects: H Social Sciences > HA Statistics
Q Science > QC Physics
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 03 Dec 2014 13:52
Last Modified: 18 Dec 2014 13:54
URI: http://eprints.imtlucca.it/id/eprint/2392

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