Results 31 to 40 of about 99 (75)

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations [PDF]

Discrete Mathematics & Theoretical Computer Science, 2021
Defant, Engen, and Miller defined a permutation to be uniquely sorted if it has exactly one preimage under West's stack-sorting map. We enumerate classes of uniquely sorted permutations that avoid a pattern of length three and a pattern of length four by
Hanna Mularczyk
doaj   +1 more source

A positional statistic for 1324-avoiding permutations [PDF]

Discrete Mathematics & Theoretical Computer Science
We consider the class $S_n(1324)$ of permutations of size $n$ that avoid the pattern 1324 and examine the subset $S_n^{a\prec n}(1324)$ of elements for which $a\prec n\prec [a-1]$, $a\ge 1$.
Juan B. Gil, Oscar A. Lopez, Michael D. Weiner   +2 more
doaj   +1 more source

Snow Leopard Permutations and Their Even and Odd Threads [PDF]

Discrete Mathematics & Theoretical Computer Science, 2016
Caffrey, Egge, Michel, Rubin and Ver Steegh recently introduced snow leopard permutations, which are the anti-Baxter permutations that are compatible with the doubly alternating Baxter permutations. Among other things, they showed that these permutations
Eric S. Egge, Kailee Rubin
doaj   +1 more source

In vitro antimicrobial activity of a gel containing antimicrobial peptide AMP2041, chlorhexidine digluconate and Tris‐EDTA on clinical isolates of Pseudomonas aeruginosa from canine otitis

Veterinary Dermatology, Volume 27, Issue 5, Page 391-e98, October 2016., 2016
Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo, Davide Santospirito, Andrea Sala, Sara Flisi, Simone Taddei, Sandro Cavirani, Clotilde Silvia Cabassi   +6 more
wiley   +1 more source

Assessing D‐Squame as a Minimally Invasive Technique to Evaluate the Cutaneous Immune Response mRNA in a Dog Model of Canine Atopic Dermatitis

Veterinary Dermatology, EarlyView.
ABSTRACT Background Canine atopic dermatitis (cAD) is a multifactorial, inherited skin disease, estimated to affect ≤ 15% of dogs. Studies of skin messenger mRNA in cAD currently use invasive methods, including blood sampling and biopsy collection, whilst advances in human atopic dermatitis study methodology have demonstrated reliable use of minimally ...
Xavier Langon, Marion Mosca, Nadège Milhau, Mélanie Legain, Adrien Idée, Didier Pin   +5 more
wiley   +1 more source

Counting occurrences of 132 in an even permutation

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 25, Page 1329-1341, 2004., 2004
We study the generating function for the number of even (or odd) permutations on n letters containing exactly r ≥ 0 occurrences of a 132 pattern. It is shown that finding this function for a given r amounts to a routine check of all permutations in 𝔖2r.
Toufik Mansour
wiley   +1 more source

Effect of Gabapentin Administered With Prednisolone, Ciclosporin or a Placebo on Clinical Outcomes and Motor Activity in Cats With Atopic Skin Syndrome: A Prospective, Blinded, Placebo‐Controlled Study

Veterinary Dermatology, Volume 36, Issue 6, Page 814-824, December 2025.
Background: Gabapentin reportedly decreases central sensitisation, a disorder associated with chronic pruritus in humans, although this is not well documented in cats. Its combined use with the standard antipruritic therapy for feline atopic skin syndrome (FASS) is not yet described.
Jeanne Morency, Éric Troncy, Aliénor Delsart, Colombe Otis, Jérôme R. E. Del Castillo, Andrea Gonzales, Jason Ross, Maxim Moreau, Jean‐Pierre Pelletier, Johanne Martel‐Pelletier, Frédéric Sauvé   +10 more
wiley   +1 more source

The derangement problem relative to the Mahonian process

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 24, Page 1497-1508, 2003., 2003
We survey n! plus q‐derangement problems. Solutions to four Mahonian statistics arising in connection with cycle placement rules are presented. A few conjectures are also made.
Jessica Delfert, Hillary Einziger, Don Rawlings   +2 more
wiley   +1 more source

Variations in the sub-defect of doubly substochastic matrices

Special Matrices
The sub-defect of a doubly stochastic matrix AA, denoted as sd(A)=⌈n−sum(A)⌉sd\left(A)=\lceil n-{\rm{sum}}\left(A)\rceil , is defined as the minimum number of rows and columns required to be added to transform the doubly substochastic matrix into a ...
Cao Lei, Eshkaftaki Ali Bayati, Koyuncu Selcuk   +2 more
doaj   +1 more source

Frobenius normal forms of doubly stochastic matrices

Special Matrices, 2019
An elementary proof of a fundamental result on doubly stochastic matrices in Frobenius normal form is given. This result is used to establish several well-known results concerning permutations, including a theorem due to Ruffini.
Paparella Pietro
doaj   +1 more source