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

complexity". The two most commonly analyzed resources are time and memory. In general, a complexity class is defined in terms of a type of computational problem...

time. Warren Weaver posited in 1948 two forms of complexity: disorganized complexity, and organized complexity. Phenomena of 'disorganized complexity'...

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

This operation has linear time complexity. In particular, initializing a disjoint-set forest with n nodes requires O(n) time. Lack of a parent assigned...

their computational complexity, i.e., the amount of resources needed to solve them, such as time and storage. Other measures of complexity are also used, such...

In computational complexity theory, P, also known as PTIME or DTIME(nO(1)), is a fundamental complexity class. It contains all decision problems that can...

With respect to computational resources, asymptotic time complexity and asymptotic space complexity of computational algorithms and programs are commonly...

to find the minimum spanning forest. In terms of their asymptotic time complexity, these three algorithms are equally fast for sparse graphs, but slower...

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

"Computational Complexity Blog: Complexity Class of the Week: Factoring". Goldreich, Oded; Wigderson, Avi (2008), "IV.20 Computational Complexity", in Gowers...

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

the input influencing space complexity. Analogously to time complexity classes DTIME(f(n)) and NTIME(f(n)), the complexity classes DSPACE(f(n)) and NSPACE(f(n))...

algorithms is the process of finding the computational complexity of algorithms—the amount of time, storage, or other resources needed to execute them....

performance; this is done in introselect. Finer computations of the average time complexity yield a worst case of n ( 2 + 2 log ⁡ 2 + o ( 1 ) ) ≤ 3.4 n + o ( n...

In computational complexity theory, the exponential time hypothesis is an unproven computational hardness assumption that was formulated by Impagliazzo...

{\displaystyle \Omega (n^{2})\,\!} conjecture and other problems in the complexity of computation. Within a week, Karatsuba, then a 23-year-old student,...

other sources claim the time complexity is "essentially linear in the number of links in the graph," meaning the time complexity would instead be O ( m...

theory (a subfield of computer science and mathematics), the Kolmogorov complexity of an object, such as a piece of text, is the length of a shortest computer...

number by every digit in the second and adding the results. This has a time complexity of O ( n 2 ) {\displaystyle O(n^{2})} , where n is the number of digits...

respectively. Usually the resource being considered is running time, i.e. time complexity, but could also be memory or some other resource. Best case is...

alignment score order. This heuristic is necessary to restrict the time- and memory-complexity required to find the globally optimal solution. First, the algorithm...

sorting problem has attracted a great deal of research, perhaps due to the complexity of solving it efficiently despite its simple, familiar statement. Among...

computational complexity theory and the analysis of algorithms, an algorithm is said to take quasi-polynomial time if its time complexity is quasi-polynomially...

the end of the sections. Its amortized time is O(1) if the persistency is not used; but the worst-time complexity of an operation is O(n) where n is the...

complexity, the most widely used such measure. In computational complexity theory, although it would be a non-formal usage of the term, the time/space...

depth-first search, which does not produce intermediate results. The time complexity of IDDFS in a (well-balanced) tree works out to be the same as breadth-first...

are more commonly compared using measures of time complexity and space complexity. Typically, the CPU time used by a program is measured by the operating...

+1)^{2}>(k+1)\Delta } . If Δ is chosen to be √n, the space complexity of the algorithm is O(√n), while the time complexity is the same as that of the regular sieve. For...

only linear in the length of the solution that it constructs. Its time complexity is analyzed by Korf et al. under the assumption that the heuristic...