2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/87300A generating function is derived that counts the number of diagrams in an arbitrary scalar field theory. The number of graphs containing any number $n_j$ of $j$-point vertices is given. The count is also used to obtain the number of classical graphs in gauge theory and gravity.8 pages, LaTeX, 1 figureGeneral Physicstext