Short strings containing all k-element permutations

@article{Savage1982ShortSC,
  title={Short strings containing all k-element permutations},
  author={Carla Savage},
  journal={Discrete Mathematics},
  year={1982},
  volume={42},
  pages={281-285}
}
The r~-oblem of constructing a string over the set -~n = { 1 , 2 , . . . , n} which contai~ls every permutation of the string 12 •. • n as a subsequence (not necessarily con~;e~etive) was considered in [1], [2] and [3]. Let f(n) denote the length of a shortest ~:uch string. In all three papers it was shown constructively that f(n)<~ n 2 o 2: n ~ 4. in this paper we consider a generalization of this problem: given n and k, con.~truct a string over ~ , which contains every permutation of each k… CONTINUE READING

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Short permutation stlings

L. Adelman
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Shortest string containing all permutations

Discrete Mathematics • 1975
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