The transsortative structure of networks

Abstract

Network topologies can be highly non-trivial, due to the complex underlying behaviours that form them. While past research has shown that some processes on networks may be characterized by local statistics describing nodes and their neighbours, such as degree assortativity, these quantities fail to capture important sources of variation in network structure. We define a property called transsortativity that describes correlations among a node’s neighbours. Transsortativity can be systematically varied, independently of the network’s degree distribution and assortativity. Moreover, it can significantly impact the spread of contagions as well as the perceptions of neighbours, known as the majority illusion. Our work improves our ability to create and analyse more realistic models of complex networks.

Document Details

Document Type
Pub Defense Publication
Publication Date
May 01, 2020
Source ID
10.1098/rspa.2019.0772

Entities

People

  • Allon G. Percus
  • Keith Burghardt
  • Kristina Lerman
  • Shin-chieng Ngo

Organizations

  • Army Research Office
  • Claremont Graduate University
  • University of Southern California

Tags

Fields of Study

  • Computer science

Readers

  • Neural Network Machine Learning.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Systems Analysis and Design