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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2026 2verdicts
UNVERDICTED 2representative citing papers
TONS uses linear optimization and heuristics to synthesize deadlock-free network topologies and routing for datacenter AI training, reporting 2.1x and 1.6x geometric mean speedups over best TPU torus variants for uniform random and all-to-all traffic in simulation.
citing papers explorer
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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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Throughput-Optimized Networks at Scale
TONS uses linear optimization and heuristics to synthesize deadlock-free network topologies and routing for datacenter AI training, reporting 2.1x and 1.6x geometric mean speedups over best TPU torus variants for uniform random and all-to-all traffic in simulation.