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Algebraic study of generalization and redundancy of the bitonic sorter.

Qian Zhengfeng. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2003. / Includes bibliographical references (leaves 127-129). / Abstracts in English and Chinese. / Chapter Chapter 1 --- Groundwork --- p.1 / Chapter 1.1 --- Introduction --- p.1 / Chapter 1.2 --- Exchange Patterns --- p.5 / Chapter 1.3 --- Multistage Networks --- p.9 / Chapter 1.3.1 --- Multistage Networks --- p.9 / Chapter 1.3.2 --- Banyan-type Networks --- p.11 / Chapter 1.4 --- Networks of Sorting Cells --- p.15 / Chapter 1.5 --- Symbolic Representation and Matrix Representation --- p.19 / Chapter 1.5.1 --- Symbolic Representation of a Multistage Interconnection Network --- p.19 / Chapter 1.5.2 --- Symbolic Representation of a Network of Sorting Cells --- p.21 / Chapter 1.5.3 --- Matrix Representation of a Network of Sorting Cells --- p.22 / Chapter 1.6 --- Summary --- p.24 / Chapter Chapter 2 --- Construction of Generalized Bitonic Sorters by Merging Rotated Monotonic Sequences --- p.25 / Chapter 2.1 --- Merging Networks --- p.25 / Chapter 2.1.1 --- Recursive 2-stage Construction --- p.26 / Chapter 2.1.2 --- UC/CU Non-blocking Switches --- p.35 / Chapter 2.1.3 --- Circular Sorters and Merging Networks --- p.41 / Chapter 2.2 --- Construction of Generalized Bitonic Sorters --- p.48 / Chapter 2.2.1 --- Bitonic Ar-sorters and Bitonic Dr-sorters --- p.48 / Chapter 2.2.2 --- Algorithms for Construction of Generalized Bitonic Sorters by Merging Rotated Monotonic Sequences --- p.51 / Chapter 2.3 --- Summary --- p.73 / Chapter Chapter 3 --- Construction of Generalized Bitonic Sorters by Cross-k Cell Rearrangement --- p.74 / Chapter 3.1 --- Cross-k Cell Rearrangement on a Multistage Network --- p.74 / Chapter 3.1.1 --- Intra-stage Cell Rearrangement --- p.74 / Chapter 3.1.2 --- Equivalence of Networks --- p.77 / Chapter 3.1.3 --- Cross-k Cell Rearrangement --- p.80 / Chapter 3.2 --- Construction of Generalized Bitonic Sorters --- p.85 / Chapter 3.3 --- Summary --- p.99 / Chapter Chapter 4 --- Redundancy of the Bitonic Network --- p.100 / Chapter 4.1 --- Counting of Identified Generalized Bitonic Sorters --- p.100 / Chapter 4.2 --- Redundancy of the Bitonic Network --- p.110 / Epilogue --- p.112 / Appendix C Program for Exhaustive Search of 8×8 Generalized Bitonic Sorters --- p.113 / References --- p.127

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_324177
Date January 2003
ContributorsQian, Zhengfeng., Chinese University of Hong Kong Graduate School. Division of Information Engineering.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, viii, 129 leaves : ill. ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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