2 citations · 2 across the 4 of their papers we have counts for
6 papers
On the existence of dense substructures in finite groups
Ching Wong
Fix . We prove that any large enough finite group contains elements which span quadratically many triples of the form , given any dense s…
The Brown-Erdős-Sós Conjecture in finite abelian groups
Jozsef Solymosi, Ching Wong
The Brown-Erdős-Sós conjecture, one of the central conjectures in extremal combinatorics, states that for any integer if a 3-uniform hypergraph on vertices contains…
The number of rational points of hyperelliptic curves over subsets of finite fields
Kristina Nelson, Jozsef Solymosi, Foster Tom +1
We prove two related concentration inequalities concerning the number of rational points of hyperelliptic curves over subsets of a finite field. In particular, we investigate the p…
An application of kissing numbers in sum-product estimates
Jozsef Solymosi, Ching Wong
The boundedness of the kissing numbers of convex bodies has been known to Hadwiger for long. We present an application of it to the sum-product estimate $$\max(|\mathcal{A}+\mathca…
Intersecting hexagons in 3-space
Jozsef Solymosi, Ching Wong
Two hexagons in the space are said to intersect heavily if their intersection consists of at least one common vertex as well as an interior point. We show that the number of hexago…
Cycles in graphs of fixed girth with large size
József Solymosi, Ching Wong
Consider a family of graphs having a fixed girth and a large size. We give an optimal lower asymptotic bound on the number of even cycles of any constant length, as the order of th…