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Description

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.

Lower Bounds in Communication Complexity

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.

Proof Complexity Lower Bounds from Graph Expansion and Combinatorial Games

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.

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Deterministic Communication Complexity. Mihai Patrascu and Emanuele Viola. Eric Miles and Emanuele Viola. Please report errors in award information by writing to: awardsearch nsf.

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