Minimally intersecting set partitions of type B.
Monochromatic and zero-sum sets of nondecreasing modified diameter.
Monochromatic forests of finite subsets of .
Monochrome symmetric subsets in 2-colorings of groups.
More lr saturated L∞ spaces
2000 Mathematics Subject Classification: 05D10, 46B03.Given r ∈ (1, ∞), we construct a new L∞ separable Banach space which is lr saturated.
More on the Kechris-Pestov-Todorcevic correspondence: Precompact expansions
In 2005, the paper [KPT05] by Kechris, Pestov and Todorcevic provided a powerful tool to compute an invariant of topological groups known as the universal minimal flow. This immediately led to an explicit representation of this invariant in many concrete cases. However, in some particular situations, the framework of [KPT05] does not allow one to perform the computation directly, but only after a slight modification of the original argument. The purpose of the present paper is to supplement [KPT05]...
Necklace bisection with one cut less than needed.
New lower bound formulas for multicolored Ramsey numbers.
New lower bounds for some multicolored Ramsey numbers.
New upper bounds on the order of cages.
Non-canonical extensions of Erdős-Ginzburg-Ziv theorem.
Non-degenerate Hilbert cubes in random sets
A slight modification of the proof of Szemerédi’s cube lemma gives that if a set satisfies , then must contain a non-degenerate Hilbert cube of dimension . In this paper we prove that in a random set determined by for , the maximal dimension of non-degenerate Hilbert cubes is a.e. nearly and determine the threshold function for a non-degenerate -cube.
Note on generating all subsets of a finite set with disjoint unions.
Note on the gammoids arising from undirected graphs
On a classification of denumerable order types and an application to the partition calculus
On a conjecture of Frankl and Füredi.
On a Rado type problem for homogeneous second order linear recurrences.
On a two-sided Turán problem.
On a variant of van der Waerden's theorem.
On cross-intersecting uniform sub-families of hereditary families.