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Equality of domination and transversal numbers in hypergraphs

✍ Scribed by Arumugam, S.; Jose, Bibin K.; Bujtás, Csilla; Tuza, Zsolt


Book ID
121792479
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
410 KB
Volume
161
Category
Article
ISSN
0166-218X

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✍ Qingchuan Zhu 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 492 KB

If H is an r-uniform hypergraph of order p without (r + 1)-cliques, then the transversal number of H has an upper bound in terms of the parameter c = p -2r. As corollaries of the main theorem, lower bounds for the largest order of r-uniform hypergraphs with specified transversal number and for the s