The Clique Complex and Hypergraph Matching

@article{Meshulam2001TheCC,
  title={The Clique Complex and Hypergraph Matching},
  author={R. Meshulam},
  journal={Combinatorica},
  year={2001},
  volume={21},
  pages={89-94}
}
  • R. Meshulam
  • Published 2001
  • Mathematics, Computer Science
  • Combinatorica
The width of a hypergraph is the minimal for which there exist such that for any , for some . The matching width of is the minimal such that for any matching there exist such that for any , for some . The following extension of the Aharoni-Haxell matching Theorem [3] is proved: Let be a family of hypergraphs such that for each either or , then there exists a matching such that for all . This is a consequence of a more general result on colored cliques in graphs. The proofs are topological and… Expand
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