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math.CO2024
Asymptotically Enumerating Independent Sets in Regular -Partite -Uniform Hypergraphs
Patrick Arras, Frederik Garbe, Felix Joos
The number of independent sets in regular bipartite expander graphs can be efficiently approximated by expressing it as the partition function of a suitable polymer model and trunc…
math.CO2024
A tower lower bound for the degree relaxation of the Regularity Lemma
Frederik Garbe, Jan Hladký
It is well-known that if is an -regular pair (in the sense of Szemerédi) then there exist sets and with $|A'|\leq \vare…
math.CO2024
Hypergraphs with uniform Turán density equal to 8/27
Frederik Garbe, Daniel Iľkovič, Daniel Kráľ +2
In the 1980s, Erdős and Sós initiated the study of Turán problems with a uniformity condition on the distribution of edges: the uniform Turán density of a hypergraph is the inf…