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cs.DS2021
Fixed-Parameter Sensitivity Oracles
Davide Bilò, Katrin Casel, Keerti Choudhary +5
We combine ideas from distance sensitivity oracles (DSOs) and fixed-parameter tractability (FPT) to design sensitivity oracles for FPT graph problems. An oracle with sensitivity $f…
cs.DS2021
Space-Efficient Fault-Tolerant Diameter Oracles
Davide Bilò, Sarel Cohen, Tobias Friedrich +1
We design -edge fault-tolerant diameter oracles (-FDOs). We preprocess a given graph on vertices and edges, and a positive integer , to construct a data struct…
cs.DS2021
Near-Optimal Deterministic Single-Source Distance Sensitivity Oracles
Davide Bilò, Sarel Cohen, Tobias Friedrich +1
Given a graph with a source vertex , the Single Source Replacement Paths (SSRP) problem is to compute, for every vertex and edge , the length of a shortest pat…