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Thed-dimensional realisation number of a rigid graph, 2026.arXiv:2602.20766

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The number of realisations of a random graph

math.CO · 2026-05-18 · unverdicted · novelty 7.0

For Erdős-Rényi random graphs the d-dimensional realization count is infinity or 2^k with k polynomial-time computable; analogous result for generic PSD matrix completion.

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  • The number of realisations of a random graph math.CO · 2026-05-18 · unverdicted · none · ref 11

    For Erdős-Rényi random graphs the d-dimensional realization count is infinity or 2^k with k polynomial-time computable; analogous result for generic PSD matrix completion.