Maximum Size of Reverse-Free Sets of Permutations

@article{Cibulka2013MaximumSO,
  title={Maximum Size of Reverse-Free Sets of Permutations},
  author={J. Cibulka},
  journal={SIAM J. Discret. Math.},
  year={2013},
  volume={27},
  pages={232-239}
}
  • J. Cibulka
  • Published 2013
  • Mathematics, Computer Science
  • SIAM J. Discret. Math.
  • Two words have a reverse if they have the same pair of distinct letters on the same pair of positions, but in reversed order. A set of words no two of which have a reverse is said to be reverse-free. Let F(n,k) be the maximum size of a reverse-free set of words from [n]^k where no letter repeats within a word. We show the following lower and upper bounds in the case n >= k: F(n,k) \in n^k k^{-k/2 + O(k/log k)}. As a consequence of the lower bound, a set of n-permutations each two having a… CONTINUE READING
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