Partitions with restricted block sizes, Möbius functions and the k-of-each problem:

Abstract: "Given a list of n numbers in R, one wants to decide wether [sic] every number in the list occurs at least k times. I will show that (1 - [epsilon])n log₃(n/k) is a lower bound for the depth of a linear decision tree determining this problem. This is done by using the Björner-Lovász m...

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Bibliographische Detailangaben
1. Verfasser: Linusson, Svante (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Berlin Konrad-Zuse-Zentrum für Informationstechnik 1994
Schriftenreihe:Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1994,6
Schlagworte:
Zusammenfassung:Abstract: "Given a list of n numbers in R, one wants to decide wether [sic] every number in the list occurs at least k times. I will show that (1 - [epsilon])n log₃(n/k) is a lower bound for the depth of a linear decision tree determining this problem. This is done by using the Björner-Lovász method, which turns the problem into one of estimating the Möbius function for a certain partition lattice. I will also calculate the exponential generating function for the Möbius function of a partition poset with restricted block sizes in general."
Beschreibung:9 S.

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