3 papers
math.NT2026
Graham conjecture on small sets in abelian groups
Simone Costa, Stefano Della Fiore, Mattia Fontana +1
A famous conjecture of Graham asserts that every set can be ordered so that all partial sums are distinct. Although this conjecture was r…
math.CO2025
Characterisation of the big Ramsey degrees of the generic partial order
Martin Balko, David Chodounský, Natasha Dobrinen +4
As a result of 33 intercontinental Zoom calls, we characterise big Ramsey degrees of the generic partial order. This is an infinitary extension of the well known fact that finite p…
math.CO2024
Alon-Tarsi for hypergraphs
Marcin Anholcer, Bartłomiej Bosek, BartÅomiej Bosek +12
Given a hypergraph , define for every edge a linear expression with arguments corresponding to the vertices. Next, let the polynomial be the product of such…