منابع مشابه
Individual Communication Complexity
We initiate the theory of communication complexity of individual inputs held by the agents, rather than worst-case or average-case. We consider total, partial, and partially correct protocols, one-way versus two-way, with (not in this version) and without help bits.
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The disjointness problem is one of the most important questions in communication complexity, and lower bounds for disjointness have been used to derive lower bounds for streaming algorithms, data structures, barriers in complexity (algebraization), approaches for circuit lower bounds, proof complexity, game theory. Some sources on this include the survey “The Story of Set Disjointness” by Chatt...
متن کاملCommunication Complexity
The first section starts with the basic definitions following mainly the notations of the book written by E. Kushilevitz and N. Nisan [8]. This whole thesis started from this book and some parts follow the proofs from there but I always tried to simplify and improve them, I even discovered and corrected a false claim. But most of the results are mine, supervised by Zoltán Király. At the beginni...
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In this chapter we survey the theory of two-party communication complexity. This field of theoretical computer science aims at studying the following, seemingly very simple, scenario: There are two players Alice who holds an n-bit string x and Bob who holds an n-bit string y. Their goal is to communicate in order to compute the value of some boolean function f(x, y), while exchanging a number o...
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When I was asked to write a contribution for this book about something related to my research, I immediately thought of Communication Complexity. This relatively simple but extremely beautiful and important sub-area of Complexity Theory studies the amount of communication needed for several distributed parties to learn something new. We will review the basic communication model and some of the ...
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ژورنال
عنوان ژورنال: Journal of Computer and System Sciences
سال: 2007
ISSN: 0022-0000
DOI: 10.1016/j.jcss.2007.03.015