Lecture Notes on Computational Complexity
by Luca Trevisan
2004
Number of pages: 171
Description:
These are notes from a graduate courses on Computational Complexity offered at the University of California at Berkeley. The first 15 lectures cover fundamental material. The remaining lectures cover more advanced material - there are lectures on Hastad's optimal inapproximability results, lower bounds for parity in bounded depth-circuits, lower bounds in proof-complexity, and pseudorandom generators and extractors.
Download or read it online for free here:
Download link
(0.9MB, PDF)
Similar books
Algorithms and Complexityby Herbert S. Wilf - AK Peters, Ltd.
An introductory textbook on the design and analysis of algorithms. Recursive algorithms are illustrated by Quicksort, FFT, and fast matrix multiplications. Algorithms in number theory are discussed with some applications to public key encryption.
(21116 views)
Around Kolmogorov Complexity: Basic Notions and Resultsby Alexander Shen - arXiv.org
Algorithmic information theory studies description complexity and randomness. This text covers the basic notions of algorithmic information theory: Kolmogorov complexity, Solomonoff universal a priori probability, effective Hausdorff dimension, etc.
(6371 views)
Computational Complexity: A Conceptual Perspectiveby Oded Goldreich - Cambridge University Press
This book offers a comprehensive perspective to modern topics in complexity theory. It can be used as an introduction as either a textbook or for self-study, or to experts, since it provides expositions of the various sub-areas of complexity theory.
(11841 views)
Communication Complexity (for Algorithm Designers)by Tim Roughgarden - Stanford University
The two biggest goals of the course are: 1. Learn several canonical problems that have proved the most useful for proving lower bounds; 2. Learn how to reduce lower bounds for fundamental algorithmic problems to communication complexity lower bounds.
(6099 views)