Miltiadis Karamanlis

activity

20172026

collaborators

4 papers

math.CO2026

Metric embeddings of cubes into dense subsets of cubes

Miltiadis Karamanlis, Cosmas Kravaris

Fix $k \in N, 0 < δ < 1$ . We study how large $N$ must be so that every $δ$ -dense subset $D \subset {0, 1}^{N}$ (meaning $∣ D ∣ \geq δ 2^{N}$ ) contains the imag…

math.CO2023

Forbidden sparse intersections

Pandelis Dodos, Miltiadis Karamanlis

Let $n$ be a positive integer, let $0 < p ⩽ p^{'} ⩽ \frac{1}{2}$ , and let $ℓ ⩽ p n$ be a nonnegative integer. We prove that if $\mathcal{F},\mathcal{G}\subseteq…

math.CO2021

Simplices and Regular Polygonal Tori in Euclidean Ramsey Theory

Miltiadis Karamanlis

We show that any finite affinely independent set can be isometrically embedded into a regular polygonal torus, that is, a finite product of regular polygons. As a consequence, with…

math.CO2017

Ramsey expansions of metrically homogeneous graphs

Andrés Aranda, David Bradley-Williams, Jan Hubička +4

We investigate Ramsey expansions, the coherent extension property for partial isometries (EPPA), and the existence of a stationary independence relation for all classes of metrical…