2 problems

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Weak convergence conjecture for bounded-degree planar triangulations
Let $c4_N$ denote the distribution of the relevant finite planar triangulations, conditioned to have all vertex degrees bounded by $M$ . Weak convergence conjecture. For every…
Conjectureopenplanar-triangulations probability weak-convergencearXiv posted 2 days ago
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Matsumoto–Ohno interpolation conjecture for face hypergraphs of planar triangulations
Matsumoto–Ohno conjecture. If $H$ is $3$ -colorable, then it admits a complete $t$ -coloring for every integer $t$ satisfying
Conjectureopenhypergraph-coloring planar-triangulationsarXiv posted 2 days ago

Weak convergence conjecture for bounded-degree planar triangulations