Some best possible bounds concerning the traces of finite sets II |
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Authors: | Mika Watanabe |
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Institution: | (1) Department of Applied Mathematics, Science University of Tokyo, Kagurazaka, Shinjuku-ku, 162 Tokyo, Japan |
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Abstract: | LetX be ann-element set and be a family of its subsets. Consider the family
x = {F – {x} : F } for a givenx X. We write(m, n) (m – k, n – 1), when for all with || m, there exists an elementx ofX such that|
x| m – k. We show that (m, n) (m – 10,n – 1) for allm 5n and (m, n) (m – 13,n – 1) for allm 29n/5. |
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