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Spectral Conditions, Degree Sequences, and Graphical Properties

Author

Listed:
  • Xiao-Min Zhu

    (College of Sciences, Shanghai Institute of Technology, Shanghai 201418, China)

  • Weijun Liu

    (College of General Education, Guangdong University of Science and Technology, Dongguan 523083, China)

  • Xu Yang

    (School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, China)

Abstract

Integrity, tenacity, binding number, and toughness are significant parameters with which to evaluate network vulnerability and stability. However, we hardly use the definitions of these parameters to evaluate directly. According to the methods, concerning the spectral radius, we show sufficient conditions for a graph to be k -integral, k -tenacious, k -binding, and k -tough, respectively. In this way, the vulnerability and stability of networks can be easier to characterize in the future.

Suggested Citation

  • Xiao-Min Zhu & Weijun Liu & Xu Yang, 2023. "Spectral Conditions, Degree Sequences, and Graphical Properties," Mathematics, MDPI, vol. 11(20), pages 1-18, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:20:p:4264-:d:1258634
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    Citations

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    Cited by:

    1. Ning Zhao & Haixing Zhao & Yinkui Li, 2024. "A Measure for the Vulnerability of Uniform Hypergraph Networks: Scattering Number," Mathematics, MDPI, vol. 12(4), pages 1-11, February.

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