3 problems

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The strong defining-set conjecture for cyclic Latin squares
Strong defining-set conjecture. Removing any entry from $B_p$ results in a minimum $(d_p-1)$ -strong defining set.
Conjectureopendefining-sets latin-squares latin-tradesarXiv posted 2 days ago
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Donovan–Lefevre conjecture on complements of full designs
Donovan–Lefevre conjecture. As $v-k$ tends to infinity, the proportion of blocks in the complement of a defining set for the full design $F(v,k)$ asymptotically approaches zero.
Conjectureopencombinatorics defining-sets design-theoryarXiv posted 2 days ago
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Conjecture on the smallest defining set size for Latin squares
Smallest defining set conjecture. The correct value of $\operatorname{scs}(n)$ is
Conjectureopendefining-sets latin-squaresarXiv posted 2 days ago

The strong defining-set conjecture for cyclic Latin squares