Isomorphismes d'hypergraphes par intersections équicardinales d'arêtes et configurations exclues

AbstractIn this note we characterize isomorphism between two hypergraphs by means of equicardinality of certain edge intersections and the exclusion of certain pairs of subhypergraphs. Our result is slightly stronger than Theorem 3 of C. Berge and R. Rado (J. Combinatorial Theory Ser. B 13 (1972), 226–241) in particular in that isolated vertices are admitted. As a corollary we obtain a result due to J.-L. Paillet