Pattern avoidance with involution
نویسنده
چکیده
We give the avoidance indices for all unary patterns with involution.
منابع مشابه
Pattern Avoidability with Involution
An infinte word w avoids a pattern p with the involution θ if there is no substitution for the variables in p and no involution θ such that the resulting word is a factor of w. We investigate the avoidance of patterns with respect to the size of the alphabet. For example, it is shown that the pattern α θ (α)α can be avoided over three letters but not two letters, whereas it is well known that α...
متن کاملPatterns with involutions
We give the avoidance indices for all unary patterns with involution.
متن کاملSubsequence Containment by Involutions
Inspired by work of McKay, Morse, and Wilf, we give an exact count of the involutions in Sn which contain a given permutation τ ∈ Sk as a subsequence; this number depends on the patterns of the first j values of τ for 1 ≤ j ≤ k. We then use this to define a partition of Sk, analogous to Wilf-classes in the study of pattern avoidance, and examine properties of this equivalence. In the process, w...
متن کامل2 S ep 2 00 4 Subsequence containment by involutions
Inspired by work of McKay, Morse, and Wilf, we give an exact count of the involutions in Sn which contain a given permutation τ ∈ Sk as a subsequence; this number depends on the patterns of the first j values of τ for 1 ≤ j ≤ k. We then use this to define a partition of Sk, analogous to Wilf-classes in the study of pattern avoidance, and examine properties of this equivalence. In the process, w...
متن کاملOn centralizers of prime rings with involution
Let $R$ be a ring with involution $*$. An additive mapping $T:Rto R$ is called a left(respectively right) centralizer if $T(xy)=T(x)y$ (respectively $T(xy)=xT(y)$) for all $x,yin R$. The purpose of this paper is to examine the commutativity of prime rings with involution satisfying certain identities involving left centralizers.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1105.2849 شماره
صفحات -
تاریخ انتشار 2011