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Characterization of robustness and resilience in graphs: a mini-review

Satu Elisa Schaeffer, Verónica Valdés, J Figols, Ivana Bachmann, F Morales, Javier Bustos-Jiménez

2021Journal of Complex Networks15 citationsDOI

Abstract

Abstract We briefly survey recent proposals that seek to capture in numerical terms the resilience and the robustness of a graph. After a brief introduction and the establishment of notation and terminology, we catalogue characterizations proposed in journal articles published within the last two decades. We then describe some of the numerous application areas for such characterizations. We experiment with implementations of numerous characteristics on several graph-generation models, after which we conclude with a discussion of open problems and future directions.

Topics & Concepts

Computer scienceRobustness (evolution)TerminologyNotationImplementationTheoretical computer scienceData scienceGraphProgramming languageMathematicsGeneLinguisticsBiochemistryArithmeticPhilosophyChemistryComplex Network Analysis TechniquesAdvanced Graph Neural NetworksAdvanced Graph Theory Research
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