Layouts for the shuffle-exchange graph based on the complex plane diagram:
The shuffle-exchange graph is one of the best structures known for parallel computation. Among other things, a shuffle-exchange computer can be used to compute discrete Fourier transforms, multiply matrices, evaluate polynomials, perform permutations and sort lists. The algorithms needed for these o...
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| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, Mass.
Laboratory for Computer Science, Massachusetts Inst. of Technology
1982
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| Schlagworte: | |
| Zusammenfassung: | The shuffle-exchange graph is one of the best structures known for parallel computation. Among other things, a shuffle-exchange computer can be used to compute discrete Fourier transforms, multiply matrices, evaluate polynomials, perform permutations and sort lists. The algorithms needed for these operations are extremely simple and many require no more than logarithmic time and constant space per processor. In this paper, we analyze the algebraic structure of the shuffle-exchange graph in order to find area-efficient embeddings of the graph in a two-dimensional grid. The results are applicable to the design of very large Scale Integration (VLSI) circuit layouts for a shuffle-exchange computer. |
| Beschreibung: | 21 S. |
Internformat
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| 100 | 1 | |a Leighton, Frank T. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Layouts for the shuffle-exchange graph based on the complex plane diagram |c Frank Thomson Leighton ; Margaret Lepley ; Gary L. Miller |
| 264 | 1 | |a Cambridge, Mass. |b Laboratory for Computer Science, Massachusetts Inst. of Technology |c 1982 | |
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| 520 | 3 | |a The shuffle-exchange graph is one of the best structures known for parallel computation. Among other things, a shuffle-exchange computer can be used to compute discrete Fourier transforms, multiply matrices, evaluate polynomials, perform permutations and sort lists. The algorithms needed for these operations are extremely simple and many require no more than logarithmic time and constant space per processor. In this paper, we analyze the algebraic structure of the shuffle-exchange graph in order to find area-efficient embeddings of the graph in a two-dimensional grid. The results are applicable to the design of very large Scale Integration (VLSI) circuit layouts for a shuffle-exchange computer. | |
| 650 | 4 | |a Shufle exchange graphs | |
| 650 | 4 | |a Thompson grid model | |
| 650 | 4 | |a VLSI(Very Large Scale Integration) | |
| 650 | 7 | |a Algebra |2 dtict | |
| 650 | 7 | |a Algorithms |2 dtict | |
| 650 | 7 | |a Chips(electronics) |2 dtict | |
| 650 | 7 | |a Computations |2 dtict | |
| 650 | 7 | |a Computer Hardware |2 scgdst | |
| 650 | 7 | |a Computer architecture |2 dtict | |
| 650 | 7 | |a Embedding |2 dtict | |
| 650 | 7 | |a Graphs |2 dtict | |
| 650 | 7 | |a Grids(coordinates) |2 dtict | |
| 650 | 7 | |a Integrated circuits |2 dtict | |
| 650 | 7 | |a Microprocessors |2 dtict | |
| 650 | 7 | |a Nodes |2 dtict | |
| 650 | 7 | |a Parallel processing |2 dtict | |
| 650 | 7 | |a Plane geometry |2 dtict | |
| 650 | 7 | |a Theoretical Mathematics |2 scgdst | |
| 650 | 7 | |a Two dimensional |2 dtict | |
| 700 | 1 | |a Lepley, Margaret |e Verfasser |4 aut | |
| 700 | 1 | |a Miller, Gary L. |e Verfasser |4 aut | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-015091975 | ||
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| author | Leighton, Frank T. Lepley, Margaret Miller, Gary L. |
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| id | DE-604.BV021876357 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:03:36Z |
| indexdate | 2024-07-09T20:46:30Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015091975 |
| oclc_num | 227553038 |
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| owner_facet | DE-706 |
| physical | 21 S. |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Laboratory for Computer Science, Massachusetts Inst. of Technology |
| record_format | marc |
| spelling | Leighton, Frank T. Verfasser aut Layouts for the shuffle-exchange graph based on the complex plane diagram Frank Thomson Leighton ; Margaret Lepley ; Gary L. Miller Cambridge, Mass. Laboratory for Computer Science, Massachusetts Inst. of Technology 1982 21 S. txt rdacontent n rdamedia nc rdacarrier The shuffle-exchange graph is one of the best structures known for parallel computation. Among other things, a shuffle-exchange computer can be used to compute discrete Fourier transforms, multiply matrices, evaluate polynomials, perform permutations and sort lists. The algorithms needed for these operations are extremely simple and many require no more than logarithmic time and constant space per processor. In this paper, we analyze the algebraic structure of the shuffle-exchange graph in order to find area-efficient embeddings of the graph in a two-dimensional grid. The results are applicable to the design of very large Scale Integration (VLSI) circuit layouts for a shuffle-exchange computer. Shufle exchange graphs Thompson grid model VLSI(Very Large Scale Integration) Algebra dtict Algorithms dtict Chips(electronics) dtict Computations dtict Computer Hardware scgdst Computer architecture dtict Embedding dtict Graphs dtict Grids(coordinates) dtict Integrated circuits dtict Microprocessors dtict Nodes dtict Parallel processing dtict Plane geometry dtict Theoretical Mathematics scgdst Two dimensional dtict Lepley, Margaret Verfasser aut Miller, Gary L. Verfasser aut |
| spellingShingle | Leighton, Frank T. Lepley, Margaret Miller, Gary L. Layouts for the shuffle-exchange graph based on the complex plane diagram Shufle exchange graphs Thompson grid model VLSI(Very Large Scale Integration) Algebra dtict Algorithms dtict Chips(electronics) dtict Computations dtict Computer Hardware scgdst Computer architecture dtict Embedding dtict Graphs dtict Grids(coordinates) dtict Integrated circuits dtict Microprocessors dtict Nodes dtict Parallel processing dtict Plane geometry dtict Theoretical Mathematics scgdst Two dimensional dtict |
| title | Layouts for the shuffle-exchange graph based on the complex plane diagram |
| title_auth | Layouts for the shuffle-exchange graph based on the complex plane diagram |
| title_exact_search | Layouts for the shuffle-exchange graph based on the complex plane diagram |
| title_exact_search_txtP | Layouts for the shuffle-exchange graph based on the complex plane diagram |
| title_full | Layouts for the shuffle-exchange graph based on the complex plane diagram Frank Thomson Leighton ; Margaret Lepley ; Gary L. Miller |
| title_fullStr | Layouts for the shuffle-exchange graph based on the complex plane diagram Frank Thomson Leighton ; Margaret Lepley ; Gary L. Miller |
| title_full_unstemmed | Layouts for the shuffle-exchange graph based on the complex plane diagram Frank Thomson Leighton ; Margaret Lepley ; Gary L. Miller |
| title_short | Layouts for the shuffle-exchange graph based on the complex plane diagram |
| title_sort | layouts for the shuffle exchange graph based on the complex plane diagram |
| topic | Shufle exchange graphs Thompson grid model VLSI(Very Large Scale Integration) Algebra dtict Algorithms dtict Chips(electronics) dtict Computations dtict Computer Hardware scgdst Computer architecture dtict Embedding dtict Graphs dtict Grids(coordinates) dtict Integrated circuits dtict Microprocessors dtict Nodes dtict Parallel processing dtict Plane geometry dtict Theoretical Mathematics scgdst Two dimensional dtict |
| topic_facet | Shufle exchange graphs Thompson grid model VLSI(Very Large Scale Integration) Algebra Algorithms Chips(electronics) Computations Computer Hardware Computer architecture Embedding Graphs Grids(coordinates) Integrated circuits Microprocessors Nodes Parallel processing Plane geometry Theoretical Mathematics Two dimensional |
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