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On the Maximum Number of Edges in a Hypergraph with a Unique Perfect Matching

Combinatorics 2011-07-11 v3

Abstract

In this note, we determine the maximum number of edges of a kk-uniform hypergraph, k3k\ge 3, with a unique perfect matching. This settles a conjecture proposed by Snevily.

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Cite

@article{arxiv.1104.3158,
  title  = {On the Maximum Number of Edges in a Hypergraph with a Unique Perfect Matching},
  author = {Deepak Bal and Andrzej Dudek and Zelealem B. Yilma},
  journal= {arXiv preprint arXiv:1104.3158},
  year   = {2011}
}

Comments

5 pages