A Turán-type theorem for large-distance graphs in Euclidean spaces, and related isodiametric problems

Martin Doležal, Jan Hladký, Jan Kolář +3

Given a measurable set $A\subset {\mathbb{R}}^d$ we consider the "large-distance graph" ${\mathcal{G}}_A$, on the ground set $A$, in which each pair of points from $A$ whose distance is…