2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116704If we are given a connected finite graph $G$ and a subset of its vertices $V_{0}$, we define a distance-residual graph as a graph induced on the set of vertices that have the maximal distance from $V_{0}$. Some properties and examples of distance-residual graphs of vertex-transitive, edge-transitive, bipartite and semisymmetric graphs are shown. The relations between the distance-residual graphs of product graphs and their factors are shown.14 pages, 4 figuresCombinatorics05C12Distance-residual graphstext