Permutation patterns

Stack-sortable permutation

In mathematics and computer science, a stack-sortable permutation (also called a tree permutation) is a permutation whose elements may be sorted by an algorithm whose internal storage is limited to a single stack data structure. The stack-sortable permutations are exactly the permutations that do not contain the permutation pattern 231; they are counted by the Catalan numbers, and may be placed in bijection with many other combinatorial objects with the same counting function including Dyck paths and binary trees. (Wikipedia).

Stack-sortable permutation
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Related pages

Catalan number | Edge contraction | Sorting algorithm | Permutation pattern | Permutation graph | All nearest smaller values | Discrete Mathematics (journal) | Longest increasing subsequence | Permutation | The Art of Computer Programming | Dynamic programming | Enumerative combinatorics | Trivially perfect graph | Edit distance | Preorder | Mathematics | Separable permutation | Comparison sort | Dyck language | Stack (abstract data type) | Inversion (discrete mathematics) | Bijection | Expected value | Binary tree | Recursion | Combinatorial class