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Pattern avoidance classes and subpermutations

Published in ArXiv.org • Feb 11, 2004
NobleIDNI1P89W19R35S88
Authors:
M. D. Atkinson
,
M. M. Murphy
,
N. Ruskuc

Abstract

Pattern avoidance classes of permutations that cannot be expressed as unions of proper subclasses can be described as the set of subpermutations of a single bijection. In the case that this bijection is a permutation of the natural numbers a structure theorem is given. The structure theorem shows th...

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