2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163668For Turán's (3, 4)-conjecture, in the case of n = 3k+1 vertices, (.5)6^{k-1} non-isomorphic complexes are constructed that attain the conjecture. In the case of n = 3k+2 vertices, 6^{k-1} non-isomorphic complexes are constructed that attain the conjecture.Combinatorics05C65; 05C35; 05D05text