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New bounds on crossing numbers

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math.CO 1

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2026 1

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Uniform Geodesic Drawings of Graphs

math.CO · 2026-05-15 · unverdicted · novelty 7.0

Proves threshold-distance connections minimize crossings in continuous uniform geodesic drawings on the sphere and plane, recovering the conjectured 8/(9π²) bound for finite graphs via smoothing.

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  • Uniform Geodesic Drawings of Graphs math.CO · 2026-05-15 · unverdicted · none · ref 12

    Proves threshold-distance connections minimize crossings in continuous uniform geodesic drawings on the sphere and plane, recovering the conjectured 8/(9π²) bound for finite graphs via smoothing.