2 problems

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Converse of the internal-automorphism criterion for Frucht's theorem
Let $M$ be a model of set theory satisfying the Axiom of Choice, and let $M'=M/\mathcal{F}$ be a permutation model inside $M$ . Suppose that Frucht's Theorem fails in $M'$ . An inter…
Conjectureopenaxiom-of-choice graph-automorphisms permutation-modelsarXiv posted 2 days ago
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Partial row-and-column-sum barrier conjecture for SST estimation
Let the unknown matrix belong to the class of strong stochastic transitivity (SST) matrices, and measure estimation error in the rate used for the SST estimation problem. Consider…
Conjectureopenisotonic-matrices permutation-models statistical-computational-gapsarXiv posted 2 days ago

Converse of the internal-automorphism criterion for Frucht's theorem