Maria-Romina Ivan

activity

20202026

most citedMinimal Diamond-Saturated Families

11 citations · 46 across the 24 of their papers we have counts for

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Showing 2026Show all

5 papers · 1 filter

math.CO2026

The Bounded-Linear Dichotomy Holds for all 4 Point Posets

Maria-Romina Ivan, Sean Jaffe

Given a finite poset $P$ , its induced saturation number, $sat^{*} (n, P)$ is the smallest size a family of subsets of $[n]$ can have such that it does not cont…

math.AT2026

Antipodal paths in covers of spheres

David Ellis, Maria-Romina Ivan, Imre Leader +1

In this note we show that if the sphere $S^{n}$ is covered by $k$ open sets with $n \geq 2 k - 2$ , then one of these sets contains a path with antipodal endpoints. This is best…

math.CO2026

Generalised Prisms and Euclidean Ramsey Theory

Maria-Romina Ivan, Imre Leader, Mark Walters

A finite subset $X$ of $R^{d}$ is called Ramsey if for every $k$ there exists an $n$ such that whenever $R^{n}$ is $k$ -coloured there exists a monochromatic congruent c…

math.CO2026

The Exact Saturation Number for the Diamond

Maria-Romina Ivan, Sean Jaffe

What is the smallest size of a family of subsets of $[n]$ such that it does not contain an induced copy of $Q_{2}$ as a poset (known as the \textit{diamond}), but adding a new set cr…

math.CO2026

A New Lower Bound for the Diagonal Poset Ramsey Numbers

Maria-Romina Ivan, Bernardus A. Wessels

Given two finite posets $P$ and $Q$ , their Ramsey number, denoted by $R (P, Q)$ , is defined to be the smallest integer $N$ such that any blue/red…