On the maximum number of isosceles right triangles in a finite point set

Bernardo M. Ábrego, Silvia Fernández-Merchant, David B. Roberts

Let $Q$ be a finite set of points in the plane. For any set $P$ of points in the plane, $S_Q(P)$ denotes the number of similar copies of $Q$ contained in $P$. For a fixed $n$, Er…