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About: Stack-sortable permutation     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatPermutationPatterns, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:Abstraction100002137yago:Cognition100023271yago:Form105930736yago:PsychologicalFeature100023100yago:Structure105726345yago:WikicatPermutationPatterns New Facet based on Instances of this Class

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.