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Two Counterexamples to a Conjecture by Agronsky and Ceder

✍ Scribed by V. Jiménez López; J. Smítal


Book ID
110239983
Publisher
Akadmiai Kiad
Year
2000
Tongue
English
Weight
453 KB
Volume
88
Category
Article
ISSN
1588-2632

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We discuss the maximum size of uniform intersecting families with covering number at least {. Among others, we construct a large k-uniform intersecting family with covering number k, which provides a counterexample to a conjecture of Lova sz. The construction for odd k can be visualized on an annulu