Mansour, T.Yıldırım, Gökhan2020-02-242020-02-242019-071300-0098http://hdl.handle.net/11693/53475We study the longest increasing subsequences in random involutions that avoid the patterns of length three under the uniform probability distribution. We determine the exact and asymptotic formulas for the average length of the longest increasing subsequences for such permutation classes.EnglishPattern-avoidanceInvolutionsLongest increasing subsequencesChebyshev polynomialsGenerating functionsLongest increasing subsequences in involutions avoiding patterns of length threeArticle10.3906/mat-1901-861303-6149