2 problems

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Johnson–Leader–Russell conjecture on extremal set families
Johnson–Leader–Russell conjecture. Extremal families—families of a given size having the maximum possible number of maximal chains—arise from two-level posets, closely related to t…
Conjectureopenextremal-combinatorics set-systems tsp-algorithmsarXiv posted 2 days ago
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Conjecture on equality of the entropy and explicit-witness optima
Equality conjecture. The two quantities coincide exactly:
Conjectureopencombinatorial-optimization entropy tsp-algorithmsarXiv posted 2 days ago

Johnson–Leader–Russell conjecture on extremal set families