3 problems

Let $L$ be a Latin square of order $n\geq 3$, and let $S$ be a subset of its entries with $|S|\leq \left\lfloor n^2/4\right\rfloor$. For a Latin trade $T$ in $L$, let $R(T)$,…

Logarithmic distance conjecture. For each Latin square $L$ of order $n$,

Let $(W,B)$ be a spherical latin bitrade, and let $\mathcal{A}_W^*$ and $\mathcal{A}_B^*$ denote the canonical abelian groups into which the white and black trades embed, respectiv…