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Covers in Uniform Intersecting Families and a Counterexample to a Conjecture of Lovász

✍ Scribed by Peter Frankl; Katsuhiro Ota; Norihide Tokushige

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
446 KB
Volume
74
Category
Article
ISSN
0097-3165

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✦ Synopsis

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 annulus, while for even k on a Mo bius band.

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