34 citations · 124 across the 38 of their papers we have counts for
45 papers
Rainbow trapezoids with given area
Sukumar Das Adhikari, Tássio Naia, Oriol Serra
A well-known result by Graham in Euclidean Ramsey Theory states that, for every positive real number , every coloring of the plane with finite number of colors contains a monoch…
Extremal families for the Kruskal--Katona theorem
Oriol Serra, Lluís Vena
Given a family of --subsets of , its lower shadow is the family of --subsets which are contained in at least one set in . The celebrated Kruskal--Katon…
Towards in groups of prime order
Vsevolod F. Lev, Oriol Serra
We show that if is a subset of a group of prime order such that and , then is contained in an arithmetic progression with at mos…
Product-free sets in the free group
Miquel Ortega, Juanjo Rué, Oriol Serra
We prove that product-free sets of the free group over a finite alphabet have maximum density with respect to the natural measure that assigns total weight one to each set of…
On the Homomorphism Order of Oriented Paths and Trees
Jan Hubička, Jaroslav Nešetřil, Pablo Oviedo +1
A partial order is universal if it contains every countable partial order as a suborder. In 2017, Fiala, Hubička, Long and Nešetřil showed that every interval in the homomorphism o…
The typical approximate structure of sets with bounded sumset
Marcelo Campos, Matthew Coulson, Oriol Serra +1
Let and be randomly chosen subsets of the first integers of cardinalities , such that their sumset has size . We show that asympt…