On the sum of the squared multiplicities of the distances in a point set over finite fields

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170980We study a finite analog of a conjecture of Erdös on the sum of the squared multiplicities of the distances determined by an $n$-element point set. Our result is based on an estimate of the number of hinges in spectral graphs.Combinatorics05C15, 05C80On the sum of the squared multiplicities of the distances in a point set over finite fieldstext