Contact tracing in configuration models

Abstract Quarantining and contact tracing are popular ad hoc practices for mitigating epidemic outbreaks. However, few mathematical theories currently available to asses the role of a network in effectiveness these practices. In this paper, we study how final size an is influenced by procedure that combines quarantining on null model: configuration model. Namely, suppose infected vertices may self-quarantine trace their infector with given success probability. A traced is, turn, less likely infect others. We show such process strongly depends structure. contrast previous findings, not necessarily more effective networks heterogeneous degrees. also clustering influences non-trivial way: depending infectiousness parameter, clustered either be more, or efficient than without clustering.