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Fault-Tolerant Spanners against Bounded-Degree Edge Failures: Linearly More Faults, Almost For Free
We study a new and stronger notion of fault-tolerant graph structures whose size bounds depend on the degree of the failing edge set, rather than the total number of faults. For a subset of faulty edges F ⊆ G, the faulty-degree deg(F) is the largest number of faults in F …