Recursive bijections for Catalan objects

Stefan Forcey, Mohammadmehdi Kafashan, Mehdi Maleki, Michael Strayer

Research output: Contribution to journalArticlepeer-review


In this note we introduce several instructive examples of bijections found between several different combinatorially defined sequences of sets. Each sequence has cardinalities given by the Catalan numbers. Our results answer some questions posed by R. Stanley in the addendum to his textbook. We actually discuss two types of bijection, one defined recursively and the other defined in a more local, relative, fashion. It is interesting to compare the results of the two.

Original languageEnglish
JournalJournal of Integer Sequences
Issue number5
StatePublished - May 9 2013


  • Bijection
  • Catalan numbers
  • Recursion


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