1 citations · 1 across the 4 of their papers we have counts for
4 papers
Two Stronger Versions of the Union-closed Sets Conjecture
Zhen Cui, Ze-Chun Hu
The union-closed sets conjecture (Frankl's conjecture) says that for any finite union-closed family of finite sets, other than the family consisting only of the empty set, there ex…
On sums of subsets of Chen primes
Zhen Cui, Hongze Li, Boqing Xue
In this paper we show that if is a subset of Chen primes with positive relative density , then must have positive upper density at least $cαe^{-c^\prime\log(1/α)^{2/3}…
On sums of sparse prime subsets
Zhen Cui, Hongze Li, Boqing Xue
For arbitrary , if is a subset of the primes less than with cardinality with , then there exists a positive constant su…
On variants of conflict-free-coloring for hypergraphs
Zhen Cui, Ze-Chun Hu
Conflict-free coloring is a kind of vertex coloring of hypergraphs requiring each hyperedge to have a color which appears only on one vertex. More generally, for a positive integer…