Pattern avoidance classes and subpermutations

Mathematics – Combinatorics

Scientific paper

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18 pages, 4 figures (all in-line)

Scientific paper

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 that the
class is almost closed under direct sums or has a rational generating function.

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