Characterising inflations of monotone grid classes of permutations.

Michael H. Albert,Aistis Atminas,Robert Brignall

Journal of Combinatorial Theory, Series A（2018）

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摘要

We characterise those permutation classes whose simple permutations are monotone griddable. This characterisation is obtained by identifying a set of nine substructures, at least one of which must occur in any simple permutation containing a long sum of 21s.

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关键词

Permutation class,Simple permutation,Monotone grid class,Substitution decomposition

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