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Titlebook: Designing Sorting Networks; A New Paradigm Sherenaz W. Al-Haj Baddar,Kenneth E. Batcher Book 2011 Springer Science+Business Media, LLC 2011

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發(fā)表于 2025-3-21 18:32:19 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Designing Sorting Networks
副標題A New Paradigm
編輯Sherenaz W. Al-Haj Baddar,Kenneth E. Batcher
視頻videohttp://file.papertrans.cn/269/268998/268998.mp4
概述Illustrates recent proofs of Bitonic and Odd-Even merge sorting algorithms, presented directly by the original developer of these parallel sorting algorithms.Provides an in-depth analysis of the use o
圖書封面Titlebook: Designing Sorting Networks; A New Paradigm Sherenaz W. Al-Haj Baddar,Kenneth E. Batcher Book 2011 Springer Science+Business Media, LLC 2011
描述Designing Sorting Networks: A New Paradigm provides an in-depth guide to maximizing the efficiency of sorting networks, and uses 0/1 cases, partially ordered sets and Haase diagrams to closely analyze their behavior in an easy, intuitive manner. .This book also outlines new ideas and techniques for designing faster sorting networks using Sortnet, and illustrates how these techniques were used to design faster 12-key and 18-key sorting networks through a series of case studies. .Finally, it examines and explains the mysterious behavior exhibited by the fastest-known 9-step 16-key network. Designing Sorting Networks: A New Paradigm is intended for advanced-level students, researchers and practitioners as a reference book. Academics in the fields of computer science, engineering and mathematics will also find this book invaluable.
出版日期Book 2011
關(guān)鍵詞0/1 principle; Haase diagrams; Knuth diagrams; Posets; comparator; divide and conquer; oblivious sorting; p
版次1
doihttps://doi.org/10.1007/978-1-4614-1851-1
isbn_softcover978-1-4899-8990-1
isbn_ebook978-1-4614-1851-1
copyrightSpringer Science+Business Media, LLC 2011
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沙發(fā)
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Posets,totally ordered. At any point in the middle of the sorting network , the array of keys is partially-ordered. A set of items where an ordering relation is established between some of the pairs of items is called a partially-ordered setor posetfor short. The partial-ordering of the keys at any point i
地板
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A 16-Key Sorting Network,rstand the behavior of this network, we used the relabeling technique. We re-labeled the networkby exchanging K[3] with K[8] and by exchanging K[7] with K[12]. This, resulted in a more logical placement of the 14 keys in the three sets between K[0] and K[15] since it put: K[11] through K[14] in the
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Divide and Conquer,t of their locations “strangers”. A strategy that can be used to design faster sorting networks using the divide-and-conquer technique is proposed here. Firstly, connect the . keys together into a poset. Afterwards, define the number of keys in each of the groups. If there are . groups defined, then
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Finding Better Networks, .-key networks); or it is faster (uses less steps than all other .-key networks). As for the number of comparators, we can’t do any better than the information-theoretic lower bound. An .-key sorting network must sort all .! permutations of . distinct keys. Thus, the number of comparators must be a
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