Results 21 to 30 of about 99 (75)

Enumerating two permutation classes by the number of cycles [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2022
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

Efficacy and safety of 0.0584% hydrocortisone aceponate topical spray and systemic oclacitinib combination therapy in dogs with atopic dermatitis: a randomized, double‐blinded, placebo‐controlled trial

open access: yesVeterinary Dermatology, Volume 32, Issue 2, Page 119-e25, April 2021., 2021
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

open access: yesForum of Mathematics, Sigma, 2021
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]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2021
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

open access: yesAnnales Mathematicae Silesianae, 2020
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
doaj   +1 more source

Sensitivities and block sensitivities of elementary symmetric Boolean functions

open access: yesJournal of Mathematical Cryptology, 2021
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]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
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]

open access: yesDiscrete Mathematics & Theoretical Computer Science
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

open access: yesSpecial Matrices, 2019
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]

open access: yesDiscrete Mathematics & Theoretical Computer Science
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

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