A Survey of Simple Permutations

Details A Survey of Simple Permutations A Survey of Simple Permutations

2008-01-07

arxiv.org/abs/0801.0963v2

Mathematics

Combinatorics

21 pages, 6 figures

Scientific paper

We survey the known results about simple permutations. In particular, we present a number of recent enumerative and structural results pertaining to simple permutations, and show how simple permutations play an important role in the study of permutation classes. We demonstrate how classes containing only finitely many simple permutations satisfy a number of special properties relating to enumeration, partial well-order and the property of being finitely based.

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