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Divide-and-conquer neighbor-joining algorithm: O(N³) neighbor-joining on additive distance matrices.

Chan, Ho Fai. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 59-60). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.5 / Chapter 2 --- Current methods on Neighbor-Joining --- p.9 / Chapter 2.1 --- Introduction to graph theory --- p.9 / Chapter 2.2 --- General discussion on visualizing distance matrices by binary trees --- p.18 / Chapter 2.3 --- Original 0(N5) Neighbor-Joining algorithm --- p.21 / Chapter 2.4 --- Speedup of NJ --- p.22 / Chapter 2.4.1 --- 0(N3) NJ for arbitrary distance matrices --- p.23 / Chapter 2.4.2 --- 0(N2) NJ on additive matrices --- p.23 / Chapter 3 --- Finding neighbor pairs --- p.25 / Chapter 3.1 --- Properties of Binary trees --- p.25 / Chapter 3.2 --- Similar rows: finding all neighbor pairs in additive matrices --- p.28 / Chapter 4 --- Divide-and-Conquer Neighbor-Joining --- p.35 / Chapter 4.1 --- DCNJ Algorithm --- p.36 / Chapter 4.2 --- Theories of DCNJ on additive matrices: Correctness and Complexity --- p.44 / Chapter 5 --- Experimental Results --- p.56 / Chapter 6 --- Conclusions --- p.58

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326473
Date January 2008
ContributorsChan, Ho Fai., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 60 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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