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...
41 KB (4,998 words) - 19:17, 11 August 2024
time. Warren Weaver posited in 1948 two forms of complexity: disorganized complexity, and organized complexity. Phenomena of 'disorganized complexity'...
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This operation has constant time complexity. In particular, initializing a disjoint-set forest with n nodes requires O(n) time. Lack of a parent assigned...
33 KB (4,617 words) - 21:17, 12 May 2024
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...
75 KB (10,381 words) - 22:02, 28 June 2024
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...
20 KB (2,989 words) - 09:57, 19 August 2024
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...
49 KB (6,717 words) - 21:56, 25 September 2024
asymptotic time complexity and asymptotic space complexity are commonly estimated. Other asymptotically estimated behavior include circuit complexity and various...
3 KB (304 words) - 01:05, 13 December 2020
science (specifically computational complexity theory), the worst-case complexity measures the resources (e.g. running time, memory) that an algorithm requires...
4 KB (599 words) - 10:12, 11 September 2023
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...
16 KB (1,961 words) - 15:31, 2 August 2024
In theoretical computer science, circuit complexity is a branch of computational complexity theory in which Boolean functions are classified according...
21 KB (2,565 words) - 15:25, 27 September 2024
Analysis of algorithms (redirect from Time/space complexity)
algorithms is the process of finding the computational complexity of algorithms—the amount of time, storage, or other resources needed to execute them....
25 KB (3,708 words) - 16:47, 21 July 2024
Quickselect (section Time complexity)
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...
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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))...
7 KB (1,004 words) - 07:33, 26 June 2024
Integer factorization (section Time complexity)
"Computational Complexity Blog: Complexity Class of the Week: Factoring". Goldreich, Oded; Wigderson, Avi (2008), "IV.20 Computational Complexity", in Gowers...
25 KB (2,980 words) - 10:09, 4 September 2024
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...
15 KB (2,548 words) - 01:43, 14 July 2024
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...
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the computational complexity of various algorithms for common mathematical operations. Here, complexity refers to the time complexity of performing computations...
25 KB (1,488 words) - 12:37, 13 August 2024
Prim's algorithm (section Time complexity)
to find the minimum spanning forest. In terms of their asymptotic time complexity, these three algorithms are equally fast for sparse graphs, but slower...
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computational complexity theory and the analysis of algorithms, an algorithm is said to take quasi-polynomial time if its time complexity is quasi-polynomially...
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In computational complexity theory, the exponential time hypothesis is an unproven computational hardness assumption that was formulated by Impagliazzo...
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in computer science) In computational complexity theory, NP (nondeterministic polynomial time) is a complexity class used to classify decision problems...
21 KB (2,787 words) - 14:08, 19 September 2024
Graham scan (section Time complexity)
finding the convex hull of a finite set of points in the plane with time complexity O(n log n). It is named after Ronald Graham, who published the original...
12 KB (1,738 words) - 20:57, 11 August 2024
Multiplication algorithm (redirect from Computational complexity of multiplication)
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...
47 KB (6,802 words) - 01:25, 6 September 2024
Selection sort (section Complexity)
sort is an in-place comparison sorting algorithm. It has an O(n2) time complexity, which makes it inefficient on large lists, and generally performs...
12 KB (1,655 words) - 14:27, 15 September 2024
Karatsuba algorithm (section Time complexity analysis)
{\displaystyle \Omega (n^{2})\,\!} conjecture and other problems in the complexity of computation. Within a week, Karatsuba, then a 23-year-old student,...
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Clustal (section Time complexity)
alignment score order. This heuristic is necessary to restrict the time- and memory-complexity required to find the globally optimal solution. First, the algorithm...
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space overhead, but at the cost of slow performance (space/time tradeoff). Algorithmic complexity is generally specified using Big O notation. This makes...
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Sieve of Eratosthenes (section Algorithmic complexity)
+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...
24 KB (3,042 words) - 00:45, 15 August 2024
Painter's algorithm (section Time complexity)
pixel that p covers: paint p.color on pixel The painter's algorithm's time-complexity is heavily dependent on the sorting algorithm used to order the polygons...
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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...
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