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Restricted permutations and queue jumping

M. H. Albert, R. E. L. Aldred, M. D. Atkinson, H. van Ditmarsch, C. C. Handley, D. A. Holton

math.COarXiv:math/0211213

Abstract

A connection between permutations that avoid 4231 and a certain queueing discipline is established. It is proved that a more restrictive queueing discipline corresponds to avoiding both 4231 and 42513, and enumeration results for such permutations are given.

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