2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104990In this paper, we give a new proof on a Theorem of Tutte which says that the determinants of the adjacency matrices of two hypomorphic graphs are the same. We also study the lowest eigenvectors.9 pages, to appear in Journal of Combinatorial Theory Series BCombinatoricsReconstruction and Higher Dimensional Geometrytext