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Analytical results on local resilience and a composed resilience proposal for complex networks

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  • Casablanca, Rocío M.
  • Criado, Regino
  • Mesa, Juan A.
  • Romance, Miguel

Abstract

The term resilience has become a relevant research topic in last years due to the interest of being applied to different fields and to many types of complex networks. A recently published paper proposed a theoretical and mathematical framework for a concept of local and discrete resilience, from a system performance recovery point of view. This paper deepens on this definition and provides bounds and exact values for the local resilience of some classes of networks. In addition, a new measure is defined, the composed resilience, which allows to study and compare networks from a general point of view. Several computational experiments are presented for this new parameter in different types of synthetic and real networks, providing a general measure for the resilience in complex networks.

Suggested Citation

  • Casablanca, Rocío M. & Criado, Regino & Mesa, Juan A. & Romance, Miguel, 2024. "Analytical results on local resilience and a composed resilience proposal for complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    • Handle: RePEc:eee:chsofr:v:187:y:2024:i:c:s0960077924009354
    DOI: 10.1016/j.chaos.2024.115383
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    References listed on IDEAS

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    Keywords

    Complex networks; Resilience;

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