# Superpattern

We prove structural and probabilistic results on superpatterns for {\em preferential arrangements}, including (i) a theorem that demonstrates that.
In the mathematical study of permutations and permutation patterns, a superpattern is a permutation that contains all of the patterns of a given length. ‎ Definitions and example · ‎ Length bounds · ‎ Random superpatterns · ‎ See also.
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