A computer assisted optimal depth lower bound for sorting networks with nine inputs
It is demonstrated that there is no nine-input sorting network of depth six. The proof was obtained by executing on a supercomputer a branch-and-bound algorithm which constructs and tests a critical subset of all possible candidates. Such proofs can be classified as experimental science, rather than...
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| creator | Parberry, I. |
| description | It is demonstrated that there is no nine-input sorting network of depth six. The proof was obtained by executing on a supercomputer a branch-and-bound algorithm which constructs and tests a critical subset of all possible candidates. Such proofs can be classified as experimental science, rather than mathematics. In keeping with the paradigms of experimental science, a high-level description of the experiment and analysis of the result are given. |
| doi_str_mv | 10.1145/76263.76280 |
| format | Conference Proceeding |
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I.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>A computer assisted optimal depth lower bound for sorting networks with nine inputs</atitle><btitle>Proceedings of the 1989 ACM/IEEE Conference on Supercomputing (Supercomputing '89)</btitle><stitle>sc</stitle><date>1989-11-01</date><risdate>1989</risdate><spage>152</spage><epage>161</epage><pages>152-161</pages><isbn>9780897913416</isbn><isbn>0897913418</isbn><abstract>It is demonstrated that there is no nine-input sorting network of depth six. 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| fulltext | fulltext_linktorsrc |
| identifier | ISBN: 9780897913416 |
| ispartof | Proceedings of the 1989 ACM/IEEE Conference on Supercomputing (Supercomputing '89), 1989, p.152-161 |
| issn | |
| language | eng |
| recordid | cdi_acm_books_10_1145_76263_76280_brief |
| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Computer networks Computer systems organization -- Architectures -- Distributed architectures -- Grid computing Computer systems organization -- Architectures -- Parallel architectures Computer systems organization -- Architectures -- Parallel architectures -- Cellular architectures Computer systems organization -- Architectures -- Parallel architectures -- Multicore architectures Computer systems organization -- Architectures -- Serial architectures -- Superscalar architectures Computing methodologies -- Modeling and simulation -- Simulation types and techniques -- Massively parallel and high-performance simulations Hardware -- Emerging technologies -- Quantum technologies -- Quantum dots and cellular automata Software and its engineering -- Software organization and properties -- Software system structures -- Distributed systems organizing principles -- Grid computing Sorting Theory of computation -- Design and analysis of algorithms -- Data structures design and analysis -- Sorting and searching Theory of computation -- Models of computation |
| title | A computer assisted optimal depth lower bound for sorting networks with nine inputs |
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