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.
16 Sami Davies, Benjamin Moseley, Sergei Vassilvitskii, and Yuyan Wang
2 Pith papers cite this work. Polarity classification is still indexing.
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Presents O(nr²) DP algorithms for r-edge and r-facility interdiction covering on trees (and bounded treewidth for the edge version), proves RFIC NP-complete, and gives an O(n³) algorithm for SSBVE on trees.
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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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Efficient Algorithms for Interdicting Facilities in Trees and Bounded Treewidth Graphs
Presents O(nr²) DP algorithms for r-edge and r-facility interdiction covering on trees (and bounded treewidth for the edge version), proves RFIC NP-complete, and gives an O(n³) algorithm for SSBVE on trees.