In graph theory, a graph is said to be a pseudorandom graph if it obeys certain properties that random graphs obey with high probability. There is no concrete...
16 KB (2,768 words) - 01:54, 24 May 2025
Ramsey's theorem (category Theorems in graph theory)
2013, Conlon, Fox and Zhao showed using a counting lemma for sparse pseudorandom graphs that rind(H) ≤ cn2Δ+8, where the exponent is best possible up to...
67 KB (8,534 words) - 13:26, 14 May 2025
Random seed (category Pseudorandom number generators)
initialize a pseudorandom number generator. A pseudorandom number generator's number sequence is completely determined by the seed: thus, if a pseudorandom number...
4 KB (410 words) - 07:49, 10 June 2025
Edge coloring (category Graph coloring)
Ferber, Asaf; Jain, Vishesh (September 2020), "1-factorizations of pseudorandom graphs", Random Structures & Algorithms, 57 (2): 259–278, arXiv:1803.10361...
65 KB (8,472 words) - 14:53, 9 October 2024
In graph theory, an expander graph is a sparse graph that has strong connectivity properties, quantified using vertex, edge or spectral expansion. Expander...
41 KB (5,391 words) - 22:16, 19 June 2025
Polynomial vector spaces, denoted by P n {\displaystyle \mathbb {P} _{n}} Pseudorandom number sequence Part number, an identifier of a particular part design...
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Vertex cover (category Computational problems in graph theory)
ECCC TR16-124. Khot, Subhash; Minzer, Dor; Safra, Muli (2018). "Pseudorandom Sets in Grassmann Graph Have Near-Perfect Expansion". 2018 IEEE 59th Annual Symposium...
22 KB (2,556 words) - 01:21, 17 June 2025
Below is a graph fragment of an example LDPC code using Forney's factor graph notation. In this graph, n variable nodes in the top of the graph are connected...
36 KB (4,626 words) - 03:13, 7 June 2025
Boost (C++ libraries) (redirect from Boost Graph Library)
that provides support for tasks and structures such as linear algebra, pseudorandom number generation, multithreading, image processing, regular expressions...
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Middle-square method (category Pseudorandom number generators)
computer science, the middle-square method is a method of generating pseudorandom numbers. In practice it is a highly flawed method for many practical...
6 KB (845 words) - 02:44, 25 May 2025
science, a pseudorandom generator for low-degree polynomials is an efficient procedure that maps a short truly random seed to a longer pseudorandom string...
4 KB (575 words) - 13:50, 22 April 2025
Logistic map (section Pseudorandom number generator)
the creation of pseudorandom numbers using a computer is an important technique, and one of the methods for generating pseudorandom numbers is the use...
145 KB (18,842 words) - 07:07, 2 June 2025
analysis Online algorithm Polynomial time approximation scheme Problem size Pseudorandom number generator Quantum algorithm Random-restart hill climbing Randomized...
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Fan Chung (category Graph theorists)
hypergraphs and graph limits. In general, the theory of quasi-randomness gives a rigorous approach to 'random-like' or 'pseudorandom' alternatives. A...
21 KB (2,450 words) - 17:22, 10 February 2025
List of algorithms (redirect from Graph algorithms)
solves the stable matching problem Pseudorandom number generators (uniformly distributed—see also List of pseudorandom number generators for other PRNGs...
72 KB (7,951 words) - 17:13, 5 June 2025
Forcing graphs play an important role in the study of pseudorandomness in graph sequences. The forcing conjecture states that the forcing graphs are exactly...
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In common practice, randomized algorithms are approximated using a pseudorandom number generator in place of a true source of random bits; such an implementation...
33 KB (4,218 words) - 20:53, 19 June 2025
median of medians (a linear time selection algorithm), the Blum Blum Shub pseudorandom number generator, the Blum–Goldwasser cryptosystem, and more recently...
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Extractor (mathematics) (category Pseudorandomness)
K , ϵ ) {\displaystyle (N,M,D,K,\epsilon )} -extractor is a bipartite graph with N {\displaystyle N} nodes on the left and M {\displaystyle M} nodes...
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whether there exists a path between two vertices in a given undirected graph, is in L, showing that L = SL, since USTCON is SL-complete. One consequence...
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Zig-zag product (redirect from Zig-zag product of graphs)
operation which takes a large graph ( G {\displaystyle G} ) and a small graph ( H {\displaystyle H} ) and produces a graph that approximately inherits the...
7 KB (1,194 words) - 04:14, 6 March 2025
Blow-up lemma (category Extremal graph theory)
analogues of the blow-up lemma for embedding bounded degree graphs into random and pseudorandom graphs Komlós, János; Sárközy, Gábor N.; Szemerédi, Endre (1997)...
18 KB (2,789 words) - 22:05, 19 June 2025
computational complexity theory and cryptography. He focuses on the topics of pseudorandomness and zero-knowledge proofs. His work on the zig-zag product, with Omer...
6 KB (538 words) - 00:46, 18 March 2025
S2CID 15794408 Khot, Subhash; Minzer, Dor; Safra, Muli (2018), "Pseudorandom Sets in Grassmann Graph Have Near-Perfect Expansion", 2018 IEEE 59th Annual Symposium...
28 KB (3,066 words) - 07:53, 29 May 2025
Each participant then locally feeds this shared master secret into a pseudorandom number generator, in order to produce as many shared "coin flips" as...
16 KB (2,131 words) - 15:47, 30 April 2025
Ronald Graham (category Graph theorists)
Graham studied the mixing time of this process, motivated by the study of pseudorandom number generators.[A87] Graham became a capable juggler beginning at...
53 KB (4,559 words) - 08:41, 24 May 2025
Rotation map (category Graph operations)
a rotation map is a function that represents an undirected edge-labeled graph, where each vertex enumerates its outgoing neighbors. Rotation maps were...
3 KB (484 words) - 04:36, 31 October 2023
problem global optimum gnome sort goobi graph graph coloring graph concentration graph drawing graph isomorphism graph partition Gray code greatest common...
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binary digits with pseudorandom properties The Mycielskian, a construction for embedding any undirected graph into a larger graph with strictly higher...
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n {\displaystyle g(x)=(x^{2}+1){\bmod {n}}} ), is used to generate a pseudorandom sequence. It is important to note that g ( x ) {\displaystyle g(x)} must...
13 KB (1,755 words) - 06:12, 18 April 2025