Abstract Acyclic hypergraphs are analogues of forests in graphs.They are very useful in the design ofdatabases. In this article,the maximum size of an acvclic hypergraph is determined and the number of maximumγ-uniform acyclic hypergraphs of order n is shown to be (~n)(n(r-1)-r~2+2r).
机构:
Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of SciencesInstitute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences
Wang J.-F.
Li H.-Z.
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机构:
Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of SciencesInstitute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences
机构:
Univ Tokushima, Fac Integrated Arts & Sci, Dept Math & Nat Sci, Tokushima 770, JapanUniv Tokushima, Fac Integrated Arts & Sci, Dept Math & Nat Sci, Tokushima 770, Japan