• 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
  • Thumbnail for Edge coloring
    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...
    3 KB (381 words) - 16:15, 26 February 2025
  • Thumbnail for Vertex cover
    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
  • that provides support for tasks and structures such as linear algebra, pseudorandom number generation, multithreading, image processing, regular expressions...
    10 KB (805 words) - 08:38, 13 May 2025
  • Thumbnail for Middle-square method
    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
  • Thumbnail for Logistic map
    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...
    1 KB (125 words) - 13:50, 14 September 2024
  • Thumbnail for Fan Chung
    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
  • 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...
    7 KB (854 words) - 23:35, 8 June 2024
  • 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
  • Thumbnail for Manuel Blum
    median of medians (a linear time selection algorithm), the Blum Blum Shub pseudorandom number generator, the Blum–Goldwasser cryptosystem, and more recently...
    10 KB (722 words) - 13:43, 5 June 2025
  • Thumbnail for Extractor (mathematics)
    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...
    3 KB (337 words) - 22:27, 20 January 2025
  • Thumbnail for L (complexity)
    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...
    12 KB (1,503 words) - 00:41, 16 June 2025
  • Thumbnail for Zig-zag product
    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
  • Thumbnail for Salil Vadhan
    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
  • Thumbnail for Ronald Graham
    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...
    35 KB (3,135 words) - 18:46, 6 May 2025
  • binary digits with pseudorandom properties The Mycielskian, a construction for embedding any undirected graph into a larger graph with strictly higher...
    5 KB (372 words) - 03:22, 4 February 2025
  • 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