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Identifying network structure similarity using spectral graph theory

Authors
  • Gera, Ralucca
  • Alonso, L.
  • Crawford, Brian
  • House, Jeffrey
  • Mendez-Bermudez, J. A.
  • Knuth, Thomas
  • Miller, Ryan
Type
Published Article
Journal
Applied Network Science
Publisher
Springer International Publishing
Publication Date
Jan 31, 2018
Volume
3
Issue
1
Identifiers
DOI: 10.1007/s41109-017-0042-3
Source
Springer Nature
Keywords
License
Green

Abstract

Most real networks are too large or they are not available for real time analysis. Therefore, in practice, decisions are made based on partial information about the ground truth network. It is of great interest to have metrics to determine if an inferred network (the partial information network) is similar to the ground truth. In this paper we develop a test for similarity between the inferred and the true network. Our research utilizes a network visualization tool, which systematically discovers a network, producing a sequence of snapshots of the network. We introduce and test our metric on the consecutive snapshots of a network, and against the ground truth. To test the scalability of our metric we use a random matrix theory approach while discovering Erdös-Rényi graphs. This scaling analysis allows us to make predictions about the performance of the discovery process.

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