Anup Rao

Communication Complexity (eBook, PDF)

and Applications

• Format: PDF

Produktbeschreibung

Communication complexity is the mathematical study of scenarios where several parties need to communicate to achieve a common goal, a situation that naturally appears during computation. This introduction presents the most recent developments in an accessible form, providing the language to unify several disjoint research subareas. Written as a guide for a graduate course on communication complexity, it will interest a broad audience in computer science, from advanced undergraduates to researchers in areas ranging from theory to algorithm design to distributed computing. The first part presents basic theory in a clear and illustrative way, offering beginners an entry into the field. The second part describes applications including circuit complexity, proof complexity, streaming algorithms, extension complexity of polytopes, and distributed computing. Proofs throughout the text use ideas from a wide range of mathematics, including geometry, algebra, and probability. Each chapter contains numerous examples, figures, and exercises to aid understanding.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 20. Februar 2020
• Englisch
• ISBN-13: 9781108781886
• Artikelnr.: 66180427

Autorenporträt

Anup Rao is an Associate Professor at the School of Computer Science, University of Washington. He received his Ph.D. in Computer Science from the University of Texas, Austin, and was a researcher at the Institute for Advanced Study, Princeton. His research interests are primarily in theoretical computer science.

Inhaltsangabe

Preface
Conventions and preliminaries
Introduction
Part I. Communication: 1. Deterministic protocols
2. Rank
3. Randomized protocols
4. Numbers on foreheads
5. Discrepancy
6. Information
7. Compressing communication
8. Lifting
Part II. Applications: 9. Circuits and proofs
10. Memory size
11. Data structures
12. Extension Complexity of Polytopes
13. Distributed computing.