computational complexity or simply complexity of an algorithm is the amount of resources required to run it. Particular focus is given to computation...

theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource usage...

an important factor of complexity. In several scientific fields, "complexity" has a precise meaning: In computational complexity theory, the amounts of...

game positions, possible outcomes, and computational complexity of various game scenarios. The state-space complexity of a game is the number of legal game...

computational problems, commonly associated with the use of the big O notation. With respect to computational resources, asymptotic time complexity and...

problems in computer science In theoretical computer science, the computational complexity of matrix multiplication dictates how quickly the operation of...

In computational complexity theory, a complexity class is a set of computational problems "of related resource-based complexity". The two most commonly...

list the computational complexity of various algorithms for common mathematical operations. Here, complexity refers to the time complexity of performing...

In computational complexity theory and computability theory, a counting problem is a type of computational problem. If R is a search problem then c R...

University of Texas at Austin. His primary areas of research are computational complexity theory and quantum computing. Aaronson grew up in the United States...

Problems". In R. E. Miller and J. W. Thatcher (editors). Complexity of Computer Computations. New York: Plenum. pp. 85–103 Kellerer, Hans; Pferschy, Ulrich;...

problems in computer science In computational complexity theory, NL (Nondeterministic Logarithmic-space) is the complexity class containing decision problems...

transmitted data. Computational complexity theory is a branch of the theory of computation that focuses on classifying computational problems according...

the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly...

computer science, parameterized complexity is a branch of computational complexity theory that focuses on classifying computational problems according to their...

automata theory and formal languages, computability theory, and computational complexity theory, which are linked by the question: "What are the fundamental...

Nelson. International Workshop on Logic and Computational Complexity, Logic and Computational Complexity, Springer, 1995, p. 31. St. Iwan (2000), "On...

in-place. In computational complexity theory, the strict definition of in-place algorithms includes all algorithms with O(1) space complexity, the class...

In computational geometry, polygon triangulation is the partition of a polygonal area (simple polygon) P into a set of triangles, i.e., finding a set...

In computational complexity theory, an Arthur–Merlin protocol, introduced by Babai (1985), is an interactive proof system in which the verifier's coin...

the computational resources needed to specify the object, and is also known as algorithmic complexity, Solomonoff–Kolmogorov–Chaitin complexity, program-size...

significant advantage. This notion of pseudorandomness is studied in computational complexity theory and has applications to cryptography. Formally, let S and...

rendering algorithms for generating digital images. On a spectrum of computational cost and visual fidelity, ray tracing-based rendering techniques, such...

more specifically in computability theory and computational complexity theory, a model of computation is a model which describes how an output of a mathematical...

field of computational complexity theory." Their paper defined the foundational notion of a Complexity class, a way of classifying computational problems...

Implicit computational complexity (ICC) is a subfield of computational complexity theory that characterizes programs by constraints on the way in which...

In theoretical computer science, circuit complexity is a branch of computational complexity theory in which Boolean functions are classified according...

response required? Computational complexity Technology The required frequency response is an important parameter. The steepness and complexity of the response...

Papadimitriou (1993), Computational Complexity (1st ed.), Addison Wesley, ISBN 978-0-201-53082-7 Chapter 11: Randomized computation, pp. 241–278. Rabin...

square n×n matrices. Its computational complexity is therefore ⁠ O ( n 3 ) {\displaystyle O(n^{3})} ⁠, in a model of computation for which the scalar operations...