In computational complexity theory, P and NP are two classes of problems. P is the class of decision problems that a deterministic Turing machine can solve in polynomial time. In useful terms… ...

Graph Theory and Computational Complexity Publication Trend The graph below shows the total number of publications each year in Graph Theory and Computational Complexity.

We wanted to know whether computational complexity theory could accurately predict how much humans would struggle in a certain situation and how accurate their problem-solving would be.

The quest has even stumped the University of Toronto computer scientist Stephen Cook, who framed the problem and launched the field of computational complexity with a seminal paper in 1971.

Vincent Conitzer, The Exact Computational Complexity of Evolutionarily Stable Strategies, Mathematics of Operations Research, Vol. 44, No. 3 (August 2019), pp. 783-792 ...

Larry Stockmeyer, Classifying the Computational Complexity of Problems, The Journal of Symbolic Logic, Vol. 52, No. 1 (Mar., 1987), pp. 1-43 ...

Computer Scientists Discover Limits of Major Research Algorithm The most widely used technique for finding the largest or smallest values of a math function turns out to be a fundamentally difficult ...

But how hard is hard? Researchers in the field of computational complexity theory study many different kinds of hard problems, and not all of them are useful for cryptographers.

Computational complexity theory provides a fundamental framework for assessing the suitability of AI applications in business contexts.

Quantum Computation and Quantum Information by Nielsen and Chuang is the foundational text, covering algorithms, cryptography, and computational complexity. Qua ...