2 papers
math.CO2026
Towards the Erdős matching conjecture for 4-uniform hypergraphs: stability and applications
Peter Frankl, Hongliang Lu, Jie Ma +1
A famous conjecture of Erdős asserts that for , the maximum number of edges in an -vertex -uniform hypergraph without pairwise disjoint edges is $\max\{\binom{n…
math.CO2024
Triangle-free triple systems
Peter Frankl, Zoltán Füredi, Ido Goorevitch +2
There are four non-isomorphic configurations of triples that can form a triangle in a -uniform hypergraph. Forbidding different combinations of these four configurations, fiftee…