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· 2025 · arXiv 2501.17816

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math.CO 1

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2026 1

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Excluding an induced star in dense random graphs

math.CO · 2026-06-21 · unverdicted · novelty 6.0

Solves graphon variational problems for induced-K_{1,k}-free dense graphs and G(n,p), yielding entropy density with second-order phase transition at gamma_k and large deviation rate function with first-order transition at p_k, plus structural characterizations.

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  • Excluding an induced star in dense random graphs math.CO · 2026-06-21 · unverdicted · none · ref 31

    Solves graphon variational problems for induced-K_{1,k}-free dense graphs and G(n,p), yielding entropy density with second-order phase transition at gamma_k and large deviation rate function with first-order transition at p_k, plus structural characterizations.