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 (4,997 words) - 15:01, 30 May 2025
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 (10,382 words) - 17:19, 13 June 2025
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...
21 KB (3,016 words) - 11:35, 31 March 2025
by Bernard A. Galler and Michael J. Fischer in 1964. In 1973, their time complexity was bounded to O ( log ∗ ( n ) ) {\displaystyle O(\log ^{*}(n))}...
33 KB (4,733 words) - 10:44, 17 June 2025
time. Warren Weaver posited in 1948 two forms of complexity: disorganized complexity, and organized complexity. Phenomena of 'disorganized complexity'...
38 KB (4,498 words) - 12:57, 18 June 2025
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...
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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...
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In theoretical computer science, circuit complexity is a branch of computational complexity theory in which Boolean functions are classified according...
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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))...
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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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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 (2,983 words) - 11:39, 19 April 2025
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...
59 KB (7,776 words) - 10:49, 13 June 2025
In computational complexity theory, the exponential time hypothesis is an unproven computational hardness assumption that was formulated by Impagliazzo...
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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 (3,683 words) - 17:34, 18 April 2025
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...
9 KB (1,163 words) - 08:37, 1 December 2024
With respect to computational resources, asymptotic time complexity and asymptotic space complexity of computational algorithms and programs are commonly...
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Best, worst and average case (redirect from Best case complexity)
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...
13 KB (1,273 words) - 21:09, 3 March 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 (6,871 words) - 22:32, 25 January 2025
sorting problem has attracted a great deal of research, perhaps due to the complexity of solving it efficiently despite its simple, familiar statement. Among...
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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...
26 KB (2,878 words) - 09:16, 3 December 2024
required computational resources in a given context (e.g., higher time complexity, greater memory requirement, expensive need for extra hardware processor...
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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...
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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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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...
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Self-stabilization (section Time complexity)
incorrect state or is corrupted by an intruder. Moreover, because of their complexity, it is very hard to debug and to analyze distributed systems. Hence, it...
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Rocchio algorithm (section Time complexity)
will reflect being closer to the centroid of related documents. The time complexity for training and testing the algorithm are listed below and followed...
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Louvain method (section Time Complexity)
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...
21 KB (2,753 words) - 02:52, 5 April 2025
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...
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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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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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