136 citations · 186 across the 12 of their papers we have counts for
8 papers · 1 filter
Positive co-degree density of hypergraphs
Anastasia Halfpap, Nathan Lemons, Cory Palmer
The \emph{minimum positive co-degree} of a non-empty -graph , denoted , is the maximum such that if is an -set contained in a hyperedge of $…
Maximum size intersecting families of bounded minimum positive co-degree
József Balogh, Nathan Lemons, Cory Palmer
Let be an -uniform hypergraph. The \emph{minimum positive co-degree} of , denoted by , is the minimum such that if is…
Induced and non-induced poset saturation problems
Balázs Keszegh, Nathan Lemons, Ryan R. Martin +2
A subfamily of sets is a non-induced (weak) copy of a poset in if there exists a bijection $i:P\rightarrow \ma…
The Structure of Hypergraphs without long Berge cycles
Ervin Győri, Nathan Lemons, Nika Salia +1
We study the structure of -uniform hypergraphs containing no Berge cycles of length at least for , and determine that such hypergraphs have some special substructu…
Online and quasi-online colorings of wedges and intervals
Balázs Keszegh, Nathan Lemons, Dömötör Pálvölgyi
We consider proper online colorings of hypergraphs defined by geometric regions. We prove that there is an online coloring algorithm that colors intervals of the real line usin…
Two-part set systems
Dániel Gerbner, Péter L. Erdős, Nathan Lemons +3
The two part Sperner theorem of Katona and Kleitman states that if is an -element set with partition , and $\cF$ is a family of subsets of such that no two…