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  • Superpermutation
  • String in combinatorial math

    mathematics, a superpermutation on n symbols is a string that contains each permutation of n symbols as a substring. While trivial superpermutations can simply

    Superpermutation

    Superpermutation

    Superpermutation

  • Greg Egan
  • Australian science fiction author and mathematician

    October 2023 on ArXiv. In 2018, Egan described a construction of superpermutations, thus giving an upper bound to their minimum length. On 27 February

    Greg Egan

    Greg Egan

    Greg_Egan

  • 4chan
  • Anonymous imageboard website

    mathematicians recognized the mathematical proof as a partial solution to a superpermutations problem that was unsolved for 25 years. Australian mathematician Greg

    4chan

    4chan

    4chan

  • List of unsolved problems in mathematics
  • distance 1 / k {\displaystyle 1/k} from each other runner) at some time? Superpermutations - smallest possible string of n digits that contains all possible

    List of unsolved problems in mathematics

    List_of_unsolved_problems_in_mathematics

  • Haruhi Suzumiya
  • Japanese light novel series

    4chan led to a proof of the lower bound for the minimal length of superpermutations, solving what had been an open math problem since 1993. Series Unit

    Haruhi Suzumiya

    Haruhi_Suzumiya

  • Substring
  • Contiguous part of a sequence of symbols

    every possible permutation of a specified character set is called a superpermutation. Substring index Suffix automaton Lothaire, M. (1997). Combinatorics

    Substring

    Substring

    Substring

  • Permutation
  • Mathematical version of an order change

    Rencontres numbers Sorting network Substitution cipher Superpattern Superpermutation Twelvefold way Weak order of permutations 1 is frequently used to represent

    Permutation

    Permutation

    Permutation

  • De Bruijn sequence
  • Cycle through all length-k sequences

    Normal number Linear-feedback shift register n-sequence BEST theorem Superpermutation de Bruijn (1946). de Bruijn (1975). Brown (1869); Stein (1963); Kak

    De Bruijn sequence

    De Bruijn sequence

    De_Bruijn_sequence

  • Superpattern
  • random permutations of length k2/(4 − ε) will be k-superpatterns. Superpermutation Bóna, Miklós (2012), Combinatorics of Permutations, Discrete Mathematics

    Superpattern

    Superpattern

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