A family of subsets of an n-set is k-locally thin if, for every k of its member sets, the ground set has at least one element contained in exactly 1 of them. We derive new asymptotic upper bounds for the maximum cardinality of locally thin set families for every even k. This improves on previous results of two of the authors with Monti.
Locally thin set families / Fachini, Emanuela; Alon, N; Korner, Janos. - In: COMBINATORICS PROBABILITY & COMPUTING. - ISSN 0963-5483. - STAMPA. - 9:6(2000), pp. 481-488. [10.1017/S0963548300004521]
Locally thin set families.
FACHINI, Emanuela;KORNER, JANOS
2000
Abstract
A family of subsets of an n-set is k-locally thin if, for every k of its member sets, the ground set has at least one element contained in exactly 1 of them. We derive new asymptotic upper bounds for the maximum cardinality of locally thin set families for every even k. This improves on previous results of two of the authors with Monti.File allegati a questo prodotto
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