Communication Complexity


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Communication Complexity


Communication Complexity

Author: Anup Rao

language: en

Publisher: Cambridge University Press

Release Date: 2020-02-20


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Presents basic theory for graduate students and researchers with applications in circuit and proof complexity, streaming algorithms and distributed computing.

Communication Complexity


Communication Complexity

Author: Eyal Kushilevitz

language: en

Publisher: Cambridge University Press

Release Date: 1997


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Surveys the mathematical theory and applications such as computer networks, VLSI circuits, and data structures.

Lower Bounds in Communication Complexity


Lower Bounds in Communication Complexity

Author: Troy Lee

language: en

Publisher: Now Publishers Inc

Release Date: 2009


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The communication complexity of a function f(x, y) measures the number of bits that two players, one who knows x and the other who knows y, must exchange to determine the value f(x, y). Communication complexity is a fundamental measure of complexity of functions. Lower bounds on this measure lead to lower bounds on many other measures of computational complexity. This monograph surveys lower bounds in the field of communication complexity. Our focus is on lower bounds that work by first representing the communication complexity measure in Euclidean space. That is to say, the first step in these lower bound techniques is to find a geometric complexity measure, such as rank or trace norm, that serves as a lower bound to the underlying communication complexity measure. Lower bounds on this geometric complexity measure are then found using algebraic and geometric tools.