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Deterministic Combinatorial Replacement Paths and Distance Sensitivity Oracles
[article]
2019
arXiv
pre-print
In this work we derandomize two central results in graph algorithms, replacement paths and distance sensitivity oracles (DSOs) matching in both cases the running time of the randomized algorithms. For the replacement paths problem, let G = (V,E) be a directed unweighted graph with n vertices and m edges and let P be a shortest path from s to t in G. The replacement paths problem is to find for every edge e ∈ P the shortest path from s to t avoiding e. Roditty and Zwick [ICALP 2005] obtained a
arXiv:1905.07483v1
fatcat:bk4olmgm6fdpdn3tk2jgmaelpm