Number of cycles in the graph of 312-avoiding permutations

Research output: Contribution to journalArticle

3 Citations (Scopus)
98 Downloads (Pure)

Abstract

The graph of overlapping permutations is defined in a way analogous to the De Bruijn graph on strings of symbols. That is, for every permutation π=π1π2...πn+1 there is a directed edge from the standardization of π1π2...πn to the standardization of π2π3...πn+1. We give a formula for the number of cycles of length d in the subgraph of overlapping 312-avoiding permutations. Using this we also give a refinement of the enumeration of 312-avoiding affine permutations and point out some open problems on this graph, which so far has been little studied.
Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalJournal of Combinatorial Theory Series A
Volume129
Early online date1 Oct 2014
DOIs
Publication statusPublished - Jan 2015

Keywords

  • pattern avoiding permutations
  • graph of overlapping permutations
  • cycles

Fingerprint Dive into the research topics of 'Number of cycles in the graph of 312-avoiding permutations'. Together they form a unique fingerprint.

  • Cite this