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Breaking the sorting barrier for directed SSSP

Also called Duan et al. SSSP, beyond-sorting-barrier SSSP.

Deterministic directed SSSP in O(m log^(2/3) n) time on sparse graphs with nonnegative weights, beating Dijkstra's sorting bound.

Deterministic directed SSSP in O(m log^(2/3) n) time on sparse graphs with nonnegative weights, beating Dijkstra's sorting bound.

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The build computes these levels from the evidence in the repository. Each row says what the next level needs. Read what the levels mean.

LadderLevelWhat the next level needs
Human proofH0 no proof
  • add a proof in proofs/ (06.5)
LeanL0 no Lean part
  • name a Lean module in the lean field (07)
VisualV0 none
  • add viz/scene.ts or a figure (10)
WritingW0 stub
  • the section The problem
  • pseudocode in The algorithm
  • complexity claims in the front matter
  • one source with a locator