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Multi-Source Reachability in Near-Optimal Time

cs.DS · 2026-06-24 · unverdicted · novelty 7.0

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.

The Twin-Width of Graphs of Bounded VC-Dimension

math.CO · 2026-06-19 · unverdicted · novelty 7.0

Graphs of bounded VC-dimension have sub-linear twin-width, shown via a new contraction tool on neighborhood partitions, plus tighter bounds for interval graphs.

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  • The Twin-Width of Graphs of Bounded VC-Dimension math.CO · 2026-06-19 · unverdicted · none · ref 18

    Graphs of bounded VC-dimension have sub-linear twin-width, shown via a new contraction tool on neighborhood partitions, plus tighter bounds for interval graphs.