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Lower Bounds in Communication Complexity

Troy LeeAdi Shraibman

出版	Now Publishers Inc, 2009
主題	Computers / GeneralComputers / Computer ScienceTechnology & Engineering / General
ISBN	16019825859781601982582
URL	http://books.google.com.hk/books?id=r6xPCxWwxGIC&hl=&source=gbs_api
EBook	SAMPLE

註釋

In the thirty years since its inception, communication complexity has become a vital area of theoretical computer science. The applicability of communication complexity to other areas, including circuit and formula complexity, VLSI design, proof complexity, and streaming algorithms, has meant it has attracted a lot of interest. Lower Bounds in Communication Complexity focuses on showing lower bounds on the communication complexity of explicit functions. It treats different variants of communication complexity, including randomized, quantum, and multiparty models. Many tools have been developed for this purpose from a diverse set of fields including linear algebra, Fourier analysis, and information theory. As is often the case in complexity theory, demonstrating a lower bound is usually the more difficult task. Lower Bounds in Communication Complexity describes a three-step approach for the development and application of these techniques. This approach can be applied in much the same way for different models, be they randomized, quantum, or multiparty. Lower Bounds in Communication Complexity is an ideal primer for anyone with an interest in this current and popular topic.