Results 31 to 40 of about 348 (50)

On the number of pancake stacks requiring four flips to be sorted [PDF]

Discrete Mathematics & Theoretical Computer Science, 2019
Using existing classification results for the 7- and 8-cycles in the pancake graph, we determine the number of permutations that require 4 pancake flips (prefix reversals) to be sorted.
Saúl A. Blanco, Charles Buehrle, Akshay Patidar   +2 more
doaj   +1 more source

Two-sided permutation statistics via symmetric functions

Forum of Mathematics, Sigma
Given a permutation statistic $\operatorname {\mathrm {st}}$ , define its inverse statistic $\operatorname {\mathrm {ist}}$ by . We give a general approach, based on the theory of symmetric functions, for finding the joint distribution of
Ira M. Gessel, Yan Zhuang
doaj   +1 more source

The expected number of inversions after n adjacent transpositions [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
We give a new expression for the expected number of inversions in the product of n random adjacent transpositions in the symmetric group S_{m+1}. We then derive from this expression the asymptotic behaviour of this number when n scales with m in various ...
Mireille Bousquet-Mélou
doaj   +1 more source

On the problem of Molluzzo for the modulus 4

, 2012
We solve the currently smallest open case in the 1976 problem of Molluzzo on $\mathbb{Z}/m\mathbb{Z}$, namely the case $m=4$. This amounts to constructing, for all positive integer $n$ congruent to $0$ or $7 \bmod{8}$, a sequence of integers modulo $4 ...
Chappelon, Jonathan, Eliahou, Shalom
core   +3 more sources

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

Efficacy and Field Safety of Ilunocitinib for the Control of Allergic Dermatitis in Client‐Owned Dogs: A Multicenter, Double‐Masked, Randomised, Placebo‐Controlled Clinical Trial

Veterinary Dermatology, Volume 36, Issue 6, Page 825-837, December 2025.
Background: Inhibition of the Janus kinase pathway is an established treatment for allergic dermatitis. Objective: To evaluate the efficacy and safety of ilunocitinib for control of pruritus in dogs with allergic dermatitis in a randomised, double‐masked clinical trial.
Sophie Forster, Candace M. Trout, Simona Despa, Annette Boegel, Darren Berger, Stephen King   +5 more
wiley   +1 more source

Sorting inversion sequences [PDF]

Discrete Mathematics & Theoretical Computer Science
We consider the avoidance of patterns in inversion sequences that relate sorting via sorting machines including data structures such as pop stacks and stacks.
Toufik Mansour, Howard Skogman, Rebecca Smith   +2 more
doaj   +1 more source

Alternating sign matrices with reflective symmetry and plane partitions: $n+3$ pairs of equivalent statistics and a Cauchy-type identity

Forum of Mathematics, Sigma
Vertically symmetric alternating sign matrices (VSASMs) of order $2n+1$ are known to be equinumerous with lozenge tilings of a hexagon with side lengths $2n+2,2n,2n+2,2n,2n+2,2n$ and a central triangular hole of size $2$ that exhibit
Ilse Fischer, Hans Höngesberg
doaj   +1 more source

Cyclic to Random Transposition Shuffles [PDF]

, 2012
Consider a permutation $\sigma\in S_n$ as a deck of cards numbered from 1 to $n$ and laid out in a row, where $\sigma_j$ denotes the number of the card that is in the $j$-th position from the left.\rm\ We define two cyclic to random transposition ...
Pinsky, Ross G.
core  

Two Vignettes On Full Rook Placements [PDF]

, 2013
Using bijections between pattern-avoiding permutations and certain full rook placements on Ferrers boards, we give short proofs of two enumerative results.
Bloom, Jonathan, Vatter, Vince
core