Liu Chun-Lung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 98-100). / Chapter 1 --- Introduction --- p.5 / Chapter 2 --- Fundamentals of thickness --- p.7 / Chapter 2.1 --- Definition of thickness --- p.9 / Chapter 2.2 --- Basic theorem and corollaries --- p.10 / Chapter 2.3 --- Equivalent definitions --- p.17 / Chapter 3 --- Ropelength minimizer --- p.19 / Chapter 3.1 --- Existence of ropelength minimizer --- p.20 / Chapter 3.2 --- Some ropelength minimizers --- p.23 / Chapter 4 --- Thickness computation --- p.27 / Chapter 4.1 --- Definitions --- p.28 / Chapter 4.2 --- Octrope algorithm --- p.33 / Chapter 4.3 --- Minor improvements --- p.45 / Chapter 5 --- Arc presentation --- p.54 / Chapter 5.1 --- Definitions --- p.55 / Chapter 5.2 --- Basic Theorems --- p.57 / Chapter 5.3 --- Ropelength upper bound --- p.64 / Chapter 6 --- Hamiltonian knot projection --- p.74 / Chapter 6.1 --- Hamiltonian RPG --- p.75 / Chapter 6.2 --- Embedding of RPG --- p.78 / Chapter 6.3 --- Ropelength upper bound --- p.95 / Bibliography --- p.98
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325491 |
| Date | January 2006 |
| Contributors | Liu, Chun-Lung., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 100 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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