We define the t-uniform cube-hypergraphs of dimension n, Q(n, t), and give two characterizations of those t-uniform hypergraphs isometrically embeddable into Q(t,n). This extends previous results of Djokovic (1973) and of Graham and Winkler (1984, 1985) for graphs.
A characterization of cube-hypergraphs
β Scribed by Gustav Burosch; Pier Vittorio Ceccherini
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 600 KB
- Volume
- 152
- Category
- Article
- ISSN
- 0012-365X
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β¦ Synopsis
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.
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