Pattern-avoiding involutions: exact and asymptotic enumeration

M Bóna, C Homberger, J Pantone, V Vatter - arXiv preprint arXiv …, 2013 - arxiv.org
arXiv preprint arXiv:1310.7003, 2013arxiv.org
We consider the enumeration of pattern-avoiding involutions, focusing in particular on sets
defined by avoiding a single pattern of length 4. As we demonstrate, the numerical data for
these problems demonstrates some surprising behavior. This strange behavior even
provides some very unexpected data related to the number of 1324-avoiding permutations.
We consider the enumeration of pattern-avoiding involutions, focusing in particular on sets defined by avoiding a single pattern of length 4. As we demonstrate, the numerical data for these problems demonstrates some surprising behavior. This strange behavior even provides some very unexpected data related to the number of 1324-avoiding permutations.
arxiv.org