%0 Journal Article %T The Erd£¿s-Falconer distance problem on the unit sphere in vector spaces over finite fields %A Le Anh Vinh %J Mathematics %D 2008 %I arXiv %X art, Iosevich, Koh and Rudnev (2007) show, using Fourier analysis method, that the finite Erd\"os-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. %U http://arxiv.org/abs/0809.4738v2