An APSP algorithm using detour-vertex predictions achieves O(n^{2.83} + ηn) time by adapting a co-nondeterministic Exact Triangle algorithm to recover from prediction mistakes.
24 Michael L Fredman and Robert Endre Tarjan
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Deterministic Õ(n^{ω(σ)}) time algorithm for multi-source reachability in digraphs with n^σ sources, improving prior randomized n^{1+2/3ω(σ)} bound.
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Warm-Starting All-Pairs Shortest Paths with Predictions
An APSP algorithm using detour-vertex predictions achieves O(n^{2.83} + ηn) time by adapting a co-nondeterministic Exact Triangle algorithm to recover from prediction mistakes.
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Multi-Source Reachability in Near-Optimal Time
Deterministic Õ(n^{ω(σ)}) time algorithm for multi-source reachability in digraphs with n^σ sources, improving prior randomized n^{1+2/3ω(σ)} bound.