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Triad-Based Comparison and Signatures of Directed Networks

  • Xiaochuan Xu
  • Gesine Reinert
Conference paper
Part of the Studies in Computational Intelligence book series (SCI, volume 812)

Abstract

We introduce two methods for comparing directed networks based on triad counts, called TriadEuclid and TriadEMD. TriadEuclid clusters the Euclidean distance between triad counts, whereas TriadEMD is an adaptation of NetEMD for directed networks. We apply both methods to cluster synthetic networks, a set of web networks including google, twitter, peer-to-peer, amazon, slashdot and citation networks, as well as world trade networks from 1962-2000. Furthermore, we find signature triads and signature orbits for each type of networks in our data, which show the main triad and orbit contributions of the networks when comparing them to the other networks in the respective data set.

Keywords

Network comparison Triad Signature triad Signature orbit 

Notes

Acknowledgements

This work was partially supported by the Alan Turing Institute. GR acknowledges the COST Action CA15109. The authors would like to thank Luis Ospina-Forero and Martin O’Reilly for helpful discussions, and Andrew Elliott for helpful discussions as well as computing support. They would also like to thank the anonymous referees for many helpful comments.

Supplementary material

467499_1_En_48_MOESM1_ESM.zip (254 kb)
Supplementary material 1 (zip 254 KB)

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of StatisticsUniversity of OxfordOxfordUK

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