A Hall Condition for Normal Hypergraphs

Please always quote using this URN: urn:nbn:de:0297-zib-56175
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  • Conforti, Cornuéjols, Kapoor, and Vusković gave a Hall-type condition for the non-existence of a perfect matching in a balanced hypergraph. We generalize this result to the class of normal hypergraphs.

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Author:Isabel Beckenbach, Ralf Borndörfer
Document Type:ZIB-Report
Tag:Hall condition; Matchings in hypergraphs; Normal hypergraphs
MSC-Classification:05-XX COMBINATORICS (For finite fields, see 11Txx) / 05Cxx Graph theory (For applications of graphs, see 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15) / 05C65 Hypergraphs
05-XX COMBINATORICS (For finite fields, see 11Txx) / 05Cxx Graph theory (For applications of graphs, see 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15) / 05C70 Factorization, matching, partitioning, covering and packing
Date of first Publication:2015/09/24
Series (Serial Number):ZIB-Report (15-45)
ISSN:1438-0064

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