2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70525Following Penrose, we introduce a family of graph functions defined in terms of contractions of certain products of symmetric tensors along the edges of a graph. Special cases of these functions enumerate edge colorings and cycles of arbitrary length in graphs (in particular, Hamiltonian cycles).CombinatoricsThe enumeration of edge colorings and Hamiltonian cycles by means of symmetric tensorstext