2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170982art, Iosevich, Koh and Rudnev (2007) show, using Fourier analysis method, that the finite Erdös-Falconer distance conjecture holds for subsets of the unit sphere in $\mathbbm{F}_q^d$. In this note, we give a graph theoretic proof of this result.CombinatoricsThe Erdös-Falconer distance problem on the unit sphere in vector spaces over finite fieldstext