Mathematics – Combinatorics
Scientific paper
2004-02-11
Mathematics
Combinatorics
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.
Atkinson M. D.
Murphy Michael
Ruskuc Nik
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