Results 51 to 60 of about 219 (161)

An infinite version of the Pólya enumeration theorem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 697-700, 1992., 1991
Using measure theory, the orbit counting form of Pólya′s enumeration theorem is extended to countably infinite discrete groups.
Robert A. Bekes
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

open access: yesVeterinary 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   +10 more
wiley   +1 more source

On Hilbert polynomial of certain determinantal ideals

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 155-162, 1991., 1989
Let X = (Xij) be an m(1) by m(2) matrix whose entries Xij, 1 ≤ i ≤ m(1), 1 ≤ j ≤ m(2); are indeterminates over a field K. Let K[X] be the polynomial ring in these m(1)m(2) variables over K. A part of the second fundamental theorem of Invariant Theory says that the ideal I[p + 1] in K[X], generated by (p + 1) by (p + 1) minors of X is prime.
Shrinivas G. Udpikar
wiley   +1 more source

Topological recursion for fully simple maps from ciliated maps [PDF]

open access: yes
We solve a conjecture from the first and third authors that claims that fully simple maps, which are maps with non self-intersecting disjoint boundaries, satisfy topological recursion for the exchanged spectral curve \((y, x)\), making use of the ...
Garcia-Failde, Elba   +5 more
core   +1 more source

Exact enumeration of satisfiable 2-SAT formulae [PDF]

open access: yes, 2023
We obtain exact expressions counting the satisfiable 2-SAT formulae and describe the structure of associated implication digraphs. Our approach is based on generating function manipulations.
Dovgal, Sergey   +2 more
core   +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

open access: yesVeterinary 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   +5 more
wiley   +1 more source

GA2 index of some graph operations

open access: yes, 2010
Let G = (V, E) be a graph. For e = uv ? E(G), nu (e) is the number of vertices of G lying closer to u than to v and nv (e) is the number of vertices of G lying closer to v than u. The GA2 index of G is defined as ?uv?E(G) 2?
G.H. Fath-Tabar   +2 more
core   +1 more source

On the number of vertices of each rank in phylogenetic trees and their generalizations [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2016
We find surprisingly simple formulas for the limiting probability that the rank of a randomly selected vertex in a randomly selected phylogenetic tree or generalized phylogenetic tree is a given integer.
Miklós Bóna
doaj   +1 more source

Proof of a bi-symmetric septuple equidistribution on ascent sequences [PDF]

open access: yes, 2023
It is well known since the seminal work by Bousquet-Mélou, Claesson, Dukes and Kitaev (2010) that certain refinements of the ascent sequences with respect to several natural statistics are in bijection with corresponding refinements of \(({\bf2+2 ...
Jin, Emma Yu, Schlosser, Michael J.
core   +1 more source

and [PDF]

open access: yes, 2009
. We study the descent distribution over the set of centrosymmetric permutations that avoid a pattern of length 3. In the most puzzling case, namely, τ = 123 and n even, our main tool is a bijection that associates a Dyck pre x of length 2n to every ...
Marilena Barnabei   +2 more
core  

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