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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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The AKS Sorting Network,olars usually refer to these sorting networksas the AKS networks [Ajtai, Komlos, Szemeredi (1983) Combinatorica 3:1–1; Ajtai, Komlos, Szemeredi (1983) Proceedings of the ACM symposium on theory of computing pp 1–9.]. The AKSsortingnetworkhas .(log .) layers with a complete binary tree on each layer
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Another Way of Handling Strangers,ter the dimension-reducing steps––here we suggest a way to do that. After the dimension-reducing steps of the algorithm, the poset is a hypercube (or hyper-rectangle) with less than . dimensions. Here we showed a way of handling many of the strangers by considering the geometry of this poset. After
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Thoughts on Minimizing Strangers, ones that appear in .’s row in the Shmoo chart and let N0(.) be the number of zeros that appear in .’s row in the same Shmoo chart. Careful inspection of the Shmoo chart helps us realize that N1(.) = |LE(.)| and that N0(.) = |GE(.)|. If we compare two keys, . and ., to find key-max(.,.) and key-min
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https://doi.org/10.1007/978-3-8349-8772-3e CL in Fig. 10.16 generated 21 cases whereas the CL in Fig. 10.18 generated 31 cases. This due to the fact Sortnet operates in the reverse direction—it first generates the set of 0/1-cases for a particular situation and then generates the poset of the keys from the set of 0/1-cases using the following rule:
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Book 2011ordered 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 th
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