• structures are studied. Combinatorics studies how to count these objects using various representations. Combinatorics on words is a recent development...
    20 KB (2,588 words) - 12:32, 13 February 2025
  • making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics is graph...
    33 KB (3,524 words) - 20:02, 6 May 2025
  • Thumbnail for Necklace (combinatorics)
    In combinatorics, a k-ary necklace of length n is an equivalence class of n-character strings over an alphabet of size k, taking all rotations as equivalent...
    8 KB (1,111 words) - 10:20, 30 March 2024
  • Algebraic combinatorics Analytic combinatorics Arithmetic combinatorics Combinatorics on words Combinatorial design theory Enumerative combinatorics Extremal...
    9 KB (683 words) - 08:34, 14 July 2024
  • L} . In combinatorics on words, a common problem is to determine the number A ( n ) {\displaystyle A(n)} of length- n {\displaystyle n} words in a factorial...
    17 KB (2,950 words) - 14:21, 25 March 2025
  • Thumbnail for Frank Ruskey
    combinatorial Gray codes, Venn and Euler diagrams, combinatorics on words, and enumerative combinatorics. Frank Ruskey is the author of the Combinatorial...
    4 KB (225 words) - 22:57, 30 November 2023
  • Algorithmic Combinatorics on Partial Words is a book in the area of combinatorics on words, and more specifically on partial words. It was written by Francine...
    6 KB (668 words) - 15:49, 5 March 2025
  • Thumbnail for Formal language
    an interpretation of terms such that the formula becomes true. Combinatorics on words Formal method Free monoid Grammar framework Mathematical notation...
    27 KB (3,163 words) - 09:25, 2 May 2025
  • Critical exponent of a word (category Combinatorics on words)
    Reutenauer, Christophe; Saliola, Franco V. (2009). Combinatorics on words. Christoffel words and repetitions in words. CRM Monograph Series. Vol. 27. Providence...
    5 KB (704 words) - 22:40, 5 September 2022
  • Thumbnail for Dominique Perrin
    computer scientist known for his contributions to coding theory and to combinatorics on words. He is a professor of the University of Marne-la-Vallée and currently...
    5 KB (374 words) - 12:50, 16 October 2024
  • Thumbnail for Sturmian word
    Sturmian word (category Combinatorics on words)
    1016/0020-0190(95)00067-M. Lothaire, M. (2002). "Sturmian Words". Algebraic Combinatorics on Words. Cambridge: Cambridge University Press. ISBN 0-521-81220-8...
    14 KB (1,939 words) - 13:42, 10 January 2025
  • Lyndon word (redirect from Lyndon words)
    In mathematics, in the areas of combinatorics and computer science, a Lyndon word is a nonempty string that is strictly smaller in lexicographic order...
    21 KB (2,749 words) - 01:18, 7 August 2024
  • Reutenauer, Christophe; Saliola, Franco V. (2009). Combinatorics on words. Christoffel words and repetitions in words. CRM Monograph Series. Vol. 27. Providence...
    31 KB (3,872 words) - 13:48, 23 April 2025
  • Free monoid (category Combinatorics on words)
    Press, ISBN 978-0-521-88831-8, Zbl 1187.94001 Lothaire, M. (1997), Combinatorics on words, Cambridge Mathematical Library, vol. 17, Contributors: Perrin,...
    22 KB (2,985 words) - 14:40, 15 March 2025
  • Thumbnail for String (computer science)
    String (computer science) (category Combinatorics on words)
    A string is often implemented as an array data structure of bytes (or words) that stores a sequence of elements, typically characters, using some character...
    41 KB (5,027 words) - 16:16, 11 May 2025
  • Levi's lemma (category Combinatorics on words)
    theoretical computer science and mathematics, especially in the area of combinatorics on words, the Levi lemma states that, for all strings u, v, x and y, if uv = xy...
    6 KB (642 words) - 16:58, 11 February 2025
  • M. Lothaire (category Combinatorics)
    name is used as the author of several of their joint books about combinatorics on words. The group is named for Lothair I. Mathematicians in the group have...
    4 KB (254 words) - 16:43, 4 August 2022
  • Thumbnail for Superpermutation
    Superpermutation (category Combinatorics on words)
    In combinatorial mathematics, a superpermutation on n symbols is a string that contains each permutation of n symbols as a substring. While trivial superpermutations...
    11 KB (1,202 words) - 10:55, 6 February 2025
  • Parameter word (category Combinatorics on words)
    In the mathematical study of combinatorics on words, a parameter word is a string over a given alphabet having some number of wildcard characters. The...
    12 KB (1,743 words) - 15:46, 27 April 2022
  • In combinatorics, a branch of mathematics, the autocorrelation of a word is the set of periods of this word. More precisely, it is a sequence of values...
    7 KB (1,228 words) - 22:13, 18 August 2023
  • Square-free word (category Combinatorics on words)
    In combinatorics, a square-free word is a word (a sequence of symbols) that does not contain any squares. A square is a word of the form XX, where X is...
    16 KB (2,382 words) - 07:51, 17 April 2025
  • Plactic monoid (category Combinatorics on words)
    Rome: CNR, pp. 129–156, MR 0646486 Lothaire, M. (2011), Algebraic combinatorics on words, Encyclopedia of Mathematics and Its Applications, vol. 90, With...
    9 KB (1,043 words) - 00:26, 24 April 2024
  • Dejean's theorem (category Combinatorics on words)
    repetitions in infinite strings of symbols. It belongs to the field of combinatorics on words; it was conjectured in 1972 by Françoise Dejean and proven in 2009...
    7 KB (938 words) - 02:19, 12 April 2025
  • Word equation (category Combinatorics on words)
    {\displaystyle h(u)=h(v)} . Word equations are a central object in combinatorics on words; they play an analogous role in this area as do Diophantine equations...
    30 KB (4,051 words) - 13:54, 6 May 2025
  • Necklace problem (category Combinatorics on words)
    Harary, Frank (eds.). Graphs and Combinatorics: Proceedings of the Capital Conference on Graph Theory and Combinatorics at the George Washington University...
    4 KB (565 words) - 02:59, 11 March 2025
  • Free object (category Combinatorics on words)
    example, the set of all words or strings W ( S ) {\displaystyle W(S)} will include strings such as aebecede and abdc, and so on, of arbitrary finite length...
    13 KB (2,027 words) - 14:10, 24 March 2025
  • Thumbnail for Fibonacci word
    ISBN 978-90-481-6545-2, MR 2076798. Lothaire, M. (1997), Combinatorics on Words, Encyclopedia of Mathematics and Its Applications, vol. 17 (2nd ed...
    14 KB (1,938 words) - 18:07, 23 August 2024
  • computer scientist working in automata theory, temporal logic, and combinatorics on words, among other topics. She is a professor of computer science at the...
    3 KB (278 words) - 23:15, 3 October 2021
  • Necklace polynomial (category Combinatorics on words)
    {lcm} (j,m)=nm}{\frac {j}{n}}M(\beta ,j).} Lothaire, M. (1997). Combinatorics on words. Encyclopedia of Mathematics and Its Applications. Vol. 17. Perrin...
    8 KB (1,465 words) - 04:26, 19 April 2025
  • Graham–Rothschild theorem (category Combinatorics on words)
    Graham–Rothschild theorem is a theorem that applies Ramsey theory to combinatorics on words and combinatorial cubes. It is named after Ronald Graham and Bruce...
    9 KB (1,220 words) - 02:58, 12 April 2025