A characterization of cube-hypergraphs Original Research Article

We define the t-uniform cube-hypergraph of dimension n, Q(n, t), as the hypergraph which is the natural analogue of the n-dimensional hypercube Qn, and give a characterization of those t-uniform hypergraphs which are isomorphic to Q(n, t). This extends a previous result of S. Foldes in the graph case.