Topics on thickness and ropelength.

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 --- B...

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Other Authors: Liu, Chun-Lung.
Format: Others
Language:English
Published: 2006
Subjects:
Online Access:http://library.cuhk.edu.hk/record=b5892854
http://repository.lib.cuhk.edu.hk/en/item/cuhk-325491
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spelling ndltd-cuhk.edu.hk-oai-cuhk-dr-cuhk_3254912019-03-05T03:34:53Z Topics on thickness and ropelength. Knot theory 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 Liu, Chun-Lung. Chinese University of Hong Kong Graduate School. Division of Mathematics. 2006 Text bibliography print 100 leaves : ill. ; 30 cm. cuhk:325491 http://library.cuhk.edu.hk/record=b5892854 eng 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/) http://repository.lib.cuhk.edu.hk/en/islandora/object/cuhk%3A325491/datastream/TN/view/Topics%20on%20thickness%20and%20ropelength.jpghttp://repository.lib.cuhk.edu.hk/en/item/cuhk-325491
collection NDLTD
language English
format Others
sources NDLTD
topic Knot theory
spellingShingle Knot theory
Topics on thickness and ropelength.
description 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
author2 Liu, Chun-Lung.
author_facet Liu, Chun-Lung.
title Topics on thickness and ropelength.
title_short Topics on thickness and ropelength.
title_full Topics on thickness and ropelength.
title_fullStr Topics on thickness and ropelength.
title_full_unstemmed Topics on thickness and ropelength.
title_sort topics on thickness and ropelength.
publishDate 2006
url http://library.cuhk.edu.hk/record=b5892854
http://repository.lib.cuhk.edu.hk/en/item/cuhk-325491
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