Daniel Kráľ

collaborators

3 papers

math.CO2025

Hypergraphs with uniform TurÃ¡n density equal to 8/27

Frederik Garbe, Daniel IÄ¾koviÄ, Daniel KrÃ¡Ä¾ +2

In the 1980s, ErdÅs and SÃ³s initiated the study of TurÃ¡n problems with a uniformity condition on the distribution of edges: the uniform TurÃ¡n density of a hypergraph $H$ is the…

math.CO2025

Ramsey multiplicity of apices of trees

Daniel KrÃ¡Ä¾, MatjaÅ¾ Krnc, Ander Lamaison

A graph $H$ is common if its Ramsey multiplicity, i.e., the minimum number of monochromatic copies of $H$ contained in any $2$ -edge-coloring of $K_{n}$ , is asymptotically the same as…

math.CO2025

Closure property of contraction-depth of matroids

Marcin Brianski, Daniel Kral, Ander Lamaison

Contraction $^{*}$ -depth is a matroid depth parameter analogous to tree-depth of graphs. We establish the matroid analogue of the classical graph theory result asserting that the tree…