Results 21 to 30 of about 99 (75)
Enumerating two permutation classes by the number of cycles [PDF]
We enumerate permutations in the two permutation classes $\text{Av}_n(312, 4321)$ and $\text{Av}_n(321, 4123)$ by the number of cycles each permutation admits. We also refine this enumeration with respect to several statistics.
Kassie Archer
doaj +1 more source
Background – Oclacitinib is an effective systemic therapy for dogs with atopic dermatitis (AD). Few studies have evaluated concurrent topical treatment with oclacitinib in dogs. Objectives – To evaluate the efficacy and safety of combination therapy of oclacitinib and 0.0584% hydrocortisone aceponate (HCA) spray in dogs with AD.
Junko Takahashi +9 more
wiley +1 more source
A Symmetric Function of Increasing Forests
For an indifference graph G, we define a symmetric function of increasing spanning forests of G. We prove that this symmetric function satisfies certain linear relations, which are also satisfied by the chromatic quasisymmetric function and unicellular $\
Alex Abreu, Antonio Nigro
doaj +1 more source
Two examples of Wilf-collapse [PDF]
Two permutation classes, the X-class and subpermutations of the increasing oscillation are shown to exhibit an exponential Wilf-collapse. This means that the number of distinct enumerations of principal subclasses of each of these classes grows much more
Michael Albert +2 more
doaj +1 more source
On Iteration of Bijective Functions with Discontinuities
We present three different types of bijective functions f : I → I on a compact interval I with finitely many discontinuities where certain iterates of these functions will be continuous.
Fripertinger Harald
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Sensitivities and block sensitivities of elementary symmetric Boolean functions
Boolean functions have important applications in molecular regulatory networks, engineering, cryptography, information technology, and computer science. Symmetric Boolean functions have received a lot of attention in several decades.
Zhang Jing, Li Yuan, Adeyeye John O.
doaj +1 more source
On an alternative sequence comparison statistic of Steele [PDF]
The purpose of this paper is to study a statistic that is used to compare the similarity between two strings, which is first introduced by Michael Steele in 1982.
Ümit Işlak, Alperen Y. Özdemir
doaj +1 more source
Pattern Avoiding Permutations Enumerated by Inversions [PDF]
Permutations are usually enumerated by size, but new results can be found by enumerating them by inversions instead, in which case one must restrict one's attention to indecomposable permutations.
Atli Fannar Franklín
doaj +1 more source
Determinant of binary circulant matrices
This article gives a closed-form expression for the determinant of binary circulant matrices.
Hariprasad M.
doaj +1 more source
Long increasing subsequences and non-algebraicity [PDF]
We use a recent result of Alin Bostan to prove that the generating functions of two infinite sequences of permutation classes are not algebraic.
Miklos Bona
doaj +1 more source

