3 papers
math.CO2026
Metric embeddings of cubes into dense subsets of cubes
Miltiadis Karamanlis, Cosmas Kravaris
Fix . We study how large must be so that every -dense subset (meaning ) contains the i…
math.CO2025
Ramsey expansions of metrically homogeneous graphs
Andrés Aranda, David Bradley-Williams, Jan HubiÄka +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…
math.CO2025
Forbidden sparse intersections
Pandelis Dodos, Miltiadis Karamanlis
Let be a positive integer, let , and let be a nonnegative integer. We prove that if $\mathcal{F},\mathcal{G}\subseteq…