Article thumbnail

Generalized friendship paradox in networks with tunable degree-attribute correlation

By Hang Hyun Jo and Young Ho Eom

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.Peer reviewe

Topics: Condensed Matter Physics, Statistical and Nonlinear Physics, Statistics and Probability, Medicine(all), 515 Psychology, 520 Other social sciences, Condensed Matter Physics, Statistical and Nonlinear Physics, Statistics and Probability, Medicine(all), 515 Psychology, 520 Other social sciences
Publisher: 'American Physical Society (APS)'
Year: 2014
DOI identifier: 10.1103/PhysRevE.90.022809
OAI identifier: oai:aaltodoc.aalto.fi:123456789/33061
Provided by: Aaltodoc
Journal:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • https://doi.org/10.1103/PhysRe... (external link)
  • https://research.aalto.fi/file... (external link)
  • http://www.scopus.com/inward/r... (external link)
  • https://aaltodoc.aalto.fi/hand... (external link)
  • https://research.aalto.fi/en/p... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.