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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1994
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| Series: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1994,6 |
| Subjects: | |
| Summary: | 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." |
| Physical Description: | 9 S. |
Staff View
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| 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) | |
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Record in the Search Index
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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 |
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| 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 | DE-12 |
| 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 |