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SUPERPERMUTATION

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

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

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

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

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

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

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

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

Superpattern

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

Superpattern