Computing Boolean functions on anonymous hypercube networks: (extended abstract)
Abstract: "We study the bit-complexity (i.e. total number of bits transmitted) of computing boolean functions on anonymous oriented hypercubes. We characterize the class of boolean functions computable in the anonymous oriented hypercube as exactly those boolean functions which are invariant un...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
1990
|
| Series: | Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS
90,40 |
| Subjects: | |
| Online Access: | Volltext |
| Summary: | Abstract: "We study the bit-complexity (i.e. total number of bits transmitted) of computing boolean functions on anonymous oriented hypercubes. We characterize the class of boolean functions computable in the anonymous oriented hypercube as exactly those boolean functions which are invariant under all bit-complement automorphisms of the hypercube and provide an algorithm for computing all such functions with bit complexity O(N [times] log4 N). Thus among all studied oriented networks (rings, tori, etc) the hypercube seems to achieve 'optimal' bit complexity for a given number of nodes." |
| Physical Description: | 12 S. |
Staff View
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| 100 | 1 | |a Kranakis, Evangelos |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Computing Boolean functions on anonymous hypercube networks |b (extended abstract) |c Evangelos Kranakis ; Danny Krizanc |
| 264 | 1 | |a Amsterdam |c 1990 | |
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| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS |v 90,40 | |
| 520 | 3 | |a Abstract: "We study the bit-complexity (i.e. total number of bits transmitted) of computing boolean functions on anonymous oriented hypercubes. We characterize the class of boolean functions computable in the anonymous oriented hypercube as exactly those boolean functions which are invariant under all bit-complement automorphisms of the hypercube and provide an algorithm for computing all such functions with bit complexity O(N [times] log4 N). Thus among all studied oriented networks (rings, tori, etc) the hypercube seems to achieve 'optimal' bit complexity for a given number of nodes." | |
| 650 | 4 | |a Algebra, Boolean | |
| 650 | 4 | |a Hypercube | |
| 700 | 1 | |a Krizanc, Danny |e Verfasser |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |
| 810 | 2 | |a Department of Computer Science: Report CS |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 90,40 |w (DE-604)BV008928356 |9 90,40 | |
| 856 | 4 | 1 | |u https://ir.cwi.nl/pub/5682 |x Verlag |z kostenfrei |3 Volltext |
| 912 | |a ebook | ||
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Record in the Search Index
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| author | Kranakis, Evangelos Krizanc, Danny |
| author_facet | Kranakis, Evangelos Krizanc, Danny |
| author_role | aut aut |
| author_sort | Kranakis, Evangelos |
| author_variant | e k ek d k dk |
| building | Verbundindex |
| bvnumber | BV008973935 |
| collection | ebook |
| ctrlnum | (OCoLC)25617046 (DE-599)BVBBV008973935 |
| format | Book |
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| id | DE-604.BV008973935 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:27:46Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005925585 |
| oclc_num | 25617046 |
| open_access_boolean | 1 |
| owner | DE-29T DE-91G DE-BY-TUM |
| owner_facet | DE-29T DE-91G DE-BY-TUM |
| physical | 12 S. |
| psigel | ebook |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS |
| spelling | Kranakis, Evangelos Verfasser aut Computing Boolean functions on anonymous hypercube networks (extended abstract) Evangelos Kranakis ; Danny Krizanc Amsterdam 1990 12 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS 90,40 Abstract: "We study the bit-complexity (i.e. total number of bits transmitted) of computing boolean functions on anonymous oriented hypercubes. We characterize the class of boolean functions computable in the anonymous oriented hypercube as exactly those boolean functions which are invariant under all bit-complement automorphisms of the hypercube and provide an algorithm for computing all such functions with bit complexity O(N [times] log4 N). Thus among all studied oriented networks (rings, tori, etc) the hypercube seems to achieve 'optimal' bit complexity for a given number of nodes." Algebra, Boolean Hypercube Krizanc, Danny Verfasser aut Erscheint auch als Online-Ausgabe Department of Computer Science: Report CS Centrum voor Wiskunde en Informatica <Amsterdam> 90,40 (DE-604)BV008928356 90,40 https://ir.cwi.nl/pub/5682 Verlag kostenfrei Volltext |
| spellingShingle | Kranakis, Evangelos Krizanc, Danny Computing Boolean functions on anonymous hypercube networks (extended abstract) Algebra, Boolean Hypercube |
| title | Computing Boolean functions on anonymous hypercube networks (extended abstract) |
| title_auth | Computing Boolean functions on anonymous hypercube networks (extended abstract) |
| title_exact_search | Computing Boolean functions on anonymous hypercube networks (extended abstract) |
| title_full | Computing Boolean functions on anonymous hypercube networks (extended abstract) Evangelos Kranakis ; Danny Krizanc |
| title_fullStr | Computing Boolean functions on anonymous hypercube networks (extended abstract) Evangelos Kranakis ; Danny Krizanc |
| title_full_unstemmed | Computing Boolean functions on anonymous hypercube networks (extended abstract) Evangelos Kranakis ; Danny Krizanc |
| title_short | Computing Boolean functions on anonymous hypercube networks |
| title_sort | computing boolean functions on anonymous hypercube networks extended abstract |
| title_sub | (extended abstract) |
| topic | Algebra, Boolean Hypercube |
| topic_facet | Algebra, Boolean Hypercube |
| url | https://ir.cwi.nl/pub/5682 |
| volume_link | (DE-604)BV008928356 |
| work_keys_str_mv | AT kranakisevangelos computingbooleanfunctionsonanonymoushypercubenetworksextendedabstract AT krizancdanny computingbooleanfunctionsonanonymoushypercubenetworksextendedabstract |