by Pan Jiao Feng. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 89-93). / Abstract also in Chinese. / Abstract --- p.i / Acknowledgments --- p.v / List of Tables --- p.x / List of Figures --- p.xi / Chapter Chapter 1. --- Introduction --- p.1 / Chapter 1.1 --- Graph definitions --- p.2 / Chapter 1.2 --- The S box graph --- p.2 / Chapter 1.3 --- The file transfer graph --- p.4 / Chapter 1.4 --- "(g, f)-factor and (g, f)-factorization" --- p.5 / Chapter 1.5 --- Thesis contributions --- p.6 / Chapter 1.6 --- Organization of the thesis --- p.7 / Chapter Chapter 2. --- On the Optimal Four-way Switch Box Routing Structures of FPGA Greedy Routing Architectures --- p.8 / Chapter 2.1 --- Introduction --- p.9 / Chapter 2.1.1 --- FPGA model and S box model --- p.9 / Chapter 2.1.2 --- FPGA routing --- p.10 / Chapter 2.1.3 --- Problem formulation --- p.10 / Chapter 2.2 --- Definitions and terminology --- p.12 / Chapter 2.2.1 --- General terminology --- p.12 / Chapter 2.2.2 --- Graph definitions --- p.15 / Chapter 2.2.3 --- The S box graph --- p.15 / Chapter 2.3 --- Properties of the S box graph and side-to-side graphs --- p.16 / Chapter 2.3.1 --- On the properties of the S box graph --- p.16 / Chapter 2.3.2 --- The properties of side-to-side graphs --- p.19 / Chapter 2.4 --- Conversion of the four-way FPGA routing problem --- p.23 / Chapter 2.4.1 --- Conversion of the S box model --- p.24 / Chapter 2.4.2 --- Conversion of the DAAA model --- p.26 / Chapter 2.4.3 --- Conversion of the DADA model --- p.27 / Chapter 2.4.4 --- Conversion of the DDDA model --- p.28 / Chapter 2.5 --- Low bounds of routing switches --- p.28 / Chapter 2.5.1 --- The lower bound of the DAAA model --- p.29 / Chapter 2.5.2 --- The lower bound of the DADA model --- p.30 / Chapter 2.5.3 --- The lower bound of the DDDA model --- p.31 / Chapter 2.6 --- Optimal structure of one-side predetermined four-way FPGA routing --- p.32 / Chapter 2.7 --- Optimal structures of two-side and three-side predetermined four-way FPGA routing --- p.45 / Chapter 2.7.1 --- Optimal structure of two-side predetermined four-way FPGA routing --- p.46 / Chapter 2.7.2 --- Optimal structure of three-side predetermined four-way FPGA routing --- p.47 / Chapter 2.8 --- Conclusion --- p.49 / Appendix --- p.50 / Chapter Chapter 3. --- "Application of (0, f)-Factorization on the Scheduling of File Transfers" --- p.53 / Chapter 3.1 --- Introduction --- p.53 / Chapter 3.1.1 --- "(0,f)-factorization" --- p.54 / Chapter 3.1.2 --- File transfer model and its graph --- p.54 / Chapter 3.1.3 --- Previous results --- p.56 / Chapter 3.1.4 --- Our results and outline of the chapter --- p.56 / Chapter 3.2 --- NP-completeness --- p.57 / Chapter 3.3 --- Some lemmas --- p.58 / Chapter 3.4 --- Bounds of file transfer graphs --- p.59 / Chapter 3.5 --- Comparison --- p.62 / Chapter 3.6 --- Conclusion --- p.68 / Chapter Chapter 4. --- "Decomposition Graphs into (g,f)-Factors" --- p.69 / Chapter 4.1 --- Introduction --- p.69 / Chapter 4.1.1 --- "(g,f)-factors and (g,f)-factorizations" --- p.69 / Chapter 4.1.2 --- Previous work --- p.70 / Chapter 4.1.3 --- Our results --- p.72 / Chapter 4.2 --- Proof of Theorem 2 --- p.73 / Chapter 4.3 --- Proof of Theorem 3 --- p.79 / Chapter 4.4 --- Proof of Theorem 4 --- p.80 / Chapter 4.5 --- Related previous results --- p.82 / Chapter 4.6 --- Conclusion --- p.84 / Chapter Chapter 5. --- Conclusion --- p.85 / Chapter 5.1 --- About graph-based approaches --- p.85 / Chapter 5.2 --- FPGA routing --- p.87 / Chapter 5.3 --- The scheduling of file transfer --- p.88 / Bibliography --- p.89 / Vita --- p.94
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322212 |
| Date | January 1998 |
| Contributors | Pan, Jiaofeng., Chinese University of Hong Kong Graduate School. Division of Computer Science and Engineering. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, xii, 95 leaves : ill. ; 30 cm. |
| Rights | Use 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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