Dopo brevi richiami sui B.I.B. Designs e sugli n-Grafi si dimostra
una certa analogia tra Block Design e Grafo $n-dimensionale$ , si
definiscono gli n-Grafi associati ai B.I.B. Designs e si studiano
alcune loro proprietà. Si trovano, infine, i grafi di dimensione 1
che possono essere associati a B.I.B. Designs simmetrici. After short references to B.I.B. Designs and $n-Graphs$ we show that
there exist a certain analogy between Block Design and Graph of dimension
$n$ ; $n-Graphs$ associated to B.I.B. Designs are defined and some
of their properties are studied. We determine at last the graphs of
dimension 1 which can be associated to a simmetric B.I.B. Design.