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Deflatability of Permutation Classes

Combinatorics 2014-09-19 v1

Abstract

A deflatable permutation class is one in which the simple permutations are contained in a proper subclass. Deflatable permutation classes are often easier to describe and enumerate than non-deflatable ones. Some theorems which guarantee non-deflatability are proved and examples of both deflatable and non-deflatable principal classes are given.

Keywords

Cite

@article{arxiv.1409.5296,
  title  = {Deflatability of Permutation Classes},
  author = {M. H. Albert and M. D. Atkinson and Cheyne Homberger and Jay Pantone},
  journal= {arXiv preprint arXiv:1409.5296},
  year   = {2014}
}
R2 v1 2026-06-22T05:59:42.270Z