11 citations · 46 across the 24 of their papers we have counts for
4 papers · 1 filter
Some New Results on Monochromatic Sums and Products in the Rationals
Neil Hindman, Maria-Romina Ivan, Imre Leader
Our aim in this paper is to show that, for any , there is a finite colouring of the set of rationals whose denominators contain only the first primes such that no infinite s…
Saturation for Small Antichains
Irina Đanković, Maria-Romina Ivan
For a given positive integer we say that a family of subsets of is -antichain saturated if it does not contain pairwise incomparable sets, but whenever we add to i…
Constructible Graphs and Pursuit
Maria-Romina Ivan, Imre Leader, Mark Walters
A (finite or infinite) graph is called constructible if it may be obtained recursively from the one-point graph by repeatedly adding dominated vertices. In the finite case, the con…
Small Sets in Union-Closed Families
David Ellis, Maria-Romina Ivan, Imre Leader
Our aim in this note is to show that, for any , there exists a union-closed family with (unique) smallest set such that no element of belongs to more than…