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...
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1994
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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. |
Internformat
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100 | 1 | |a Linusson, Svante |e Verfasser |4 aut | |
245 | 1 | 0 | |a Partitions with restricted block sizes, Möbius functions and the k-of-each problem |c Svante Linusson |
264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1994 | |
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490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1994,6 | |
520 | 3 | |a 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." | |
650 | 4 | |a Partitions (Mathematics) | |
830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1994,6 |w (DE-604)BV004801715 |9 1994,6 | |
999 | |a oai:aleph.bib-bvb.de:BVB01-006578038 |
Datensatz im Suchindex
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author | Linusson, Svante |
author_facet | Linusson, Svante |
author_role | aut |
author_sort | Linusson, Svante |
author_variant | s l sl |
building | Verbundindex |
bvnumber | BV009930050 |
ctrlnum | (OCoLC)32499000 (DE-599)BVBBV009930050 |
format | Book |
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id | DE-604.BV009930050 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T17:43:24Z |
institution | BVB |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006578038 |
oclc_num | 32499000 |
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owner_facet | DE-12 |
physical | 9 S. |
publishDate | 1994 |
publishDateSearch | 1994 |
publishDateSort | 1994 |
publisher | Konrad-Zuse-Zentrum für Informationstechnik |
record_format | marc |
series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
spelling | Linusson, Svante Verfasser aut Partitions with restricted block sizes, Möbius functions and the k-of-each problem Svante Linusson Berlin Konrad-Zuse-Zentrum für Informationstechnik 1994 9 S. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1994,6 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." Partitions (Mathematics) Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1994,6 (DE-604)BV004801715 1994,6 |
spellingShingle | Linusson, Svante Partitions with restricted block sizes, Möbius functions and the k-of-each problem Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC Partitions (Mathematics) |
title | Partitions with restricted block sizes, Möbius functions and the k-of-each problem |
title_auth | Partitions with restricted block sizes, Möbius functions and the k-of-each problem |
title_exact_search | Partitions with restricted block sizes, Möbius functions and the k-of-each problem |
title_full | Partitions with restricted block sizes, Möbius functions and the k-of-each problem Svante Linusson |
title_fullStr | Partitions with restricted block sizes, Möbius functions and the k-of-each problem Svante Linusson |
title_full_unstemmed | Partitions with restricted block sizes, Möbius functions and the k-of-each problem Svante Linusson |
title_short | Partitions with restricted block sizes, Möbius functions and the k-of-each problem |
title_sort | partitions with restricted block sizes mobius functions and the k of each problem |
topic | Partitions (Mathematics) |
topic_facet | Partitions (Mathematics) |
volume_link | (DE-604)BV004801715 |
work_keys_str_mv | AT linussonsvante partitionswithrestrictedblocksizesmobiusfunctionsandthekofeachproblem |