Improved (O(pw), Δ)-LDD for pathwidth-pw digraphs and O(tw log n) integrality gap for directed sparsest-cut LP on treewidth-tw graphs via refined quasipartition analysis.
Journal of Graph Theory , Year =
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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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Directed Low Diameter Decomposition for Structured Digraphs
Improved (O(pw), Δ)-LDD for pathwidth-pw digraphs and O(tw log n) integrality gap for directed sparsest-cut LP on treewidth-tw graphs via refined quasipartition analysis.
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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.