2 problems

Sharpness conjecture. For $e \in \mathbb N$ with $e \geqslant 3$ and $q$ a prime power, there exists $N \in \mathbb N$ such that for all $n \geqslant N$ we have equality in the cor…

Let $G_n$ be a simple graph on $V_n=\{v_1,\dots,v_n\}$, and let $S(G_n)$ be its Seidel matrix. Let $\det(S(G_n))$ denote its determinant. For a uniformly chosen graph on $V_n$, con…