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Finite and infinite barrycades

Dębski, Michał et al.
arXiv (All) · Papers
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05a05combinatorics
An $n$-barrycade of height $h$ is a set of $h$ permutations of $[n]$ such that all the prefix sums are different. This notion was described in 2020 by Richard Guy, together with the central problem to determine for which values of $n$ there exists a break-free $n$-barrycade, that is, one in which ev
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