A Spectral Measure for Network Robustness: Assessment, Design, and Evolution

Shengmin Jin, Rui Ma, Jiayu Li, Sara Eftekharnejad, Reza Zafarani

Research output: Chapter in Book/Entry/PoemConference contribution

Abstract

A robust system should perform well under random failures or targeted attacks, and networks have been widely used to model the underlying structure of complex systems such as communication, infrastructure, and transportation networks. Hence, network robustness becomes critical to understanding system robustness. In this paper, we propose a spectral measure for network robustness: the second spectral moment m_{2} of the network. Our results show that a smaller second spectral moment m_{2} indicates a more robust network. We demonstrate both theoretically and with extensive empirical studies that the second spectral moment can help (1) capture various traditional measures of network robustness; (2) assess the robustness of networks; (3) design networks with controlled robustness; and (4) study how complex networked systems (e.g., power systems) behave under cascading failures.

Original languageEnglish (US)
Title of host publicationProceedings - 13th IEEE International Conference on Knowledge Graph, ICKG 2022
EditorsPeipei Li, Kui Yu, Nitesh Chawla, Ronen Feldman, Qing Li, Xindong Wu
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages97-104
Number of pages8
ISBN (Electronic)9781665451017
DOIs
StatePublished - 2022
Event13th IEEE International Conference on Knowledge Graph, ICKG 2022 - Virtual, Online, United States
Duration: Nov 30 2022Dec 1 2022

Publication series

NameProceedings - 13th IEEE International Conference on Knowledge Graph, ICKG 2022

Conference

Conference13th IEEE International Conference on Knowledge Graph, ICKG 2022
Country/TerritoryUnited States
CityVirtual, Online
Period11/30/2212/1/22

Keywords

  • Graph Spectrum
  • Network Robustness

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computational Theory and Mathematics
  • Computer Science Applications
  • Information Systems

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