2 problems

Let $n>2$ be prime, and define a permutation $g$ of $\mathbb Z_n$ by … Order permutations lexicographically, and let $\Psi(n)$ be the minimum number of collinear triples in a permu…

Let $n>2$ be prime, and let $Psi(n)$ denote the minimum number of collinear triples in the graph of a permutation of $mathbb Zn$ in $mathbb Zntimesmathbb Zn$. The preceding bounds…