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The study of algorithmic complexity. A topic of particular interest is the relationship between polynomial-time (P) and non-deterministic polynomial-time (NP), the latter consisting of algorithms for which there is a P solution given the right initial guess (often called witness or certificate).
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ECCC - Electronic Colloquium on Computational Complexity - A forum for the rapid and widespread interchange of ideas, techniques, and research in computational complexity. Research reports, surveys and books; meetings, discussions and web resources. A Compendium of NP Optimization Problems - This is a preliminary version of the catalog of NP optimization problems. SAT Live! - A collection of up-to-date links about the satisfiability problem (solvers, benchmarks, articles). A discussion forum is available as well. Computability and Complexity - An online course on complexity. Parameterized Complexity - Brief description, list of workers and problem compendium, compiled by Todd Wareham. Probabilistically Checkable Proofs and Approximation - Pointers to some survey articles and their authors, by M. Bellare. Complexity of Algorithms - A list of topics from a Computer Science course involving complexity of algorithms. HTML and PS format. Computational Complexity Theory - Wikipedia article. Computational Complexity and Programming Languages - Summaries of talks of the DIMACS workshop (July 1996), collected by James Royer. Complexity Theory - Two set of lecture notes by Prof. Oded Goldreich, Weizmann Institute. Lecture notes on Complexity - Collection of lecture notes by Prof. Eric Allender, Rutgers University. IBM Research: Algorithms & Theory - An overview of computational models and methods and how they relate to complexity, with links to selected papers. Efficient algorithms and intractable problems - Course taught by Christos Papadimitriou and Umesh Vazirani at the University of California at Berkeley. Computational Complexity Theory - Course COMS 30126: Computational Complexity Theory, Department of Computer Science, University of Bristol Constraint Satisfaction Problems - Research group in the Computing Laboratory, Oxford University.
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