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.
Demaine and MohammadTaghi Hajiaghayi , title =
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DSQ is W[1]-hard on degeneracy-2 and K_{3,3}-free graphs but FPT parameterized by solution size plus treewidth, FPT on nowhere dense classes, and admits subexponential algorithms on apex-minor-free graphs via bidimensionality.
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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.
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Dominating Set with Quotas: Balancing Coverage and Constraints
DSQ is W[1]-hard on degeneracy-2 and K_{3,3}-free graphs but FPT parameterized by solution size plus treewidth, FPT on nowhere dense classes, and admits subexponential algorithms on apex-minor-free graphs via bidimensionality.