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Progress in the no-three-in-line-problem

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Geometry-Aware MCTS for Extremal Problems in Combinatorial Geometry

cs.AI · 2026-06-24 · unverdicted · novelty 6.0

Geometry-aware MCTS with incremental constraint updates and symmetry pruning yields new best-known configurations for five of six tested combinatorial geometry problems, including ~1.8n points for Max-N3IL on grids 82-119.

Monochromatic $k$ in a row

math.CO · 2026-06-11 · unverdicted · novelty 6.0

Derives exact values and asymptotic bounds on the maximum and minimum densities of k-in-a-row avoiding configurations on Z^2 and [k]^d.

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  • Geometry-Aware MCTS for Extremal Problems in Combinatorial Geometry cs.AI · 2026-06-24 · unverdicted · none · ref 7

    Geometry-aware MCTS with incremental constraint updates and symmetry pruning yields new best-known configurations for five of six tested combinatorial geometry problems, including ~1.8n points for Max-N3IL on grids 82-119.