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Some results in communication complexity.

Mak, Yan Kei. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (leaves 59-63). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.6 / Chapter 1.1 --- Historical background --- p.6 / Chapter 1.2 --- Why study communication complexity? --- p.7 / Chapter 1.3 --- Main ideas and results --- p.8 / Chapter 1.4 --- Recent development --- p.12 / Chapter 1.5 --- Structure of the thesis --- p.12 / Chapter 2 --- Deterministic Communication Complexity --- p.13 / Chapter 2.1 --- Definitions --- p.13 / Chapter 2.2 --- Tiling lower bound --- p.16 / Chapter 2.3 --- Fooling set lower bound --- p.21 / Chapter 2.4 --- Rank lower bound --- p.24 / Chapter 2.5 --- Comparison of the bounds --- p.27 / Chapter 3 --- Nondeterministic Communication Complexity --- p.29 / Chapter 3.1 --- Definitions --- p.29 / Chapter 3.2 --- "Gaps between N0(f), N1(f) and D(f)" --- p.31 / Chapter 3.3 --- Aho-Ullman-Yannakakis Theorem --- p.33 / Chapter 4 --- Randomized Communication Complexity --- p.38 / Chapter 4.1 --- Preliminaries --- p.38 / Chapter 4.2 --- Definitions --- p.39 / Chapter 4.3 --- Error reduction --- p.41 / Chapter 4.4 --- Exponential gap with D(f) --- p.42 / Chapter 4.5 --- The public coin model --- p.44 / Chapter 4.6 --- Distributional complexity --- p.46 / Chapter 5 --- Communication Complexity Classes --- p.51 / Chapter 5.1 --- Basic classes --- p.51 / Chapter 5.2 --- Polynomial-time hierarchy --- p.52 / Chapter 5.3 --- Reducibility and completeness --- p.53 / Chapter 6 --- Further topics --- p.56 / Chapter 6.1 --- Quantum communication complexity --- p.56 / Chapter 6.2 --- More techniques for bounds --- p.57 / Chapter 6.3 --- Complexity of communication complexity --- p.57 / Bibliography --- p.59

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327214
Date January 2010
ContributorsMak, Yan Kei., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 63 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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