Results 41 to 50 of about 143 (87)
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+6 more
wiley +1 more source
A general Ramsey product theorem
Call a family 6F of subsets of a set U Ramsey if no partition of U into finitely many parts can split every F E CF. We show that under very general conditions an arbitrary collection of Ramsey families in fact has a much stronger uniform Ramsey property.
R. Graham, J. Spencer
semanticscholar +1 more source
Counting occurrences of 132 in an even permutation
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
The derangement problem relative to the Mahonian process
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+2 more
wiley +1 more source
We note that a result of Brenner (1962) follows from a theorem of Lerch (1896) which also extends it.
Pavlos Tzermias
wiley +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
A remark on Nelson’s best hypercontractive estimates
By using a combinatorial estimate we provide a new proof of Nelson's best hypercontractive estimates from L2 to L4. Let G be the differential operator 1 d +x -d on L ~ ( R , T ' / ' e x 2 dx ) .
B. Simon
semanticscholar +1 more source
On the discrepancy of coloring finite sets
Given a subset S of {1, …, n} and a map X : {1, …, n} → {−1, 1}, (i.e. a coloring of {1, …, n} with two colors, say red and blue) define the discrepancy of S with respect to X to be dX(S)=|∑i∈SX(i)| (the difference between the reds and blues on S).
D. Hajela
wiley +1 more source
A positional statistic for 1324-avoiding permutations [PDF]
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+2 more
doaj +1 more source
On fundamental transversal matroids
Unified proofs of two theorems on fundamental transversal matroids are presented. A necessary condition for a matroid to be a fundamental transversal matroid with respect to a given basis is given.
R. Brualdi
semanticscholar +1 more source