**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

**Solving NP-Complete Problems**

by

**F. D. Lewis**-

**University of Kentucky**

This is an on-line textbook on heuristic algorithms. From the table of contents: Classes of Problems; Integer Programming; Enumeration Techniques; Dynamic Programming; Approximate Solutions; Local Optimization; Natural Models.

(

**5379**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.

(

**1969**views)

**Parallel Complexity Theory**

by

**Ian Parberry**-

**Prentice Hall**

The rapid growth of parallel complexity theory has led to a proliferation of parallel machine models. This book presents a unified theory of parallel computation based on a network model. It is the first such synthesis in book form.

(

**5444**views)

**Around Kolmogorov Complexity: Basic Notions and Results**

by

**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.

(

**1846**views)