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math.MG 1

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2026 1

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Magnitude and diversity of trees

math.MG · 2026-05-05 · unverdicted · novelty 6.0

Magnitude of compact R-trees equals 1 + L/2 with L the total length; diversity-maximizing measures concentrate on leaves with no branch points in their support, and max diversity on finite weighted trees is polynomial-time computable.

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  • Magnitude and diversity of trees math.MG · 2026-05-05 · unverdicted · none · ref 4

    Magnitude of compact R-trees equals 1 + L/2 with L the total length; diversity-maximizing measures concentrate on leaves with no branch points in their support, and max diversity on finite weighted trees is polynomial-time computable.