3 papers
math.CO2025
The sandglass conjecture beyond cancellative pairs
Adva Mond, Victor Souza, Leo Versteegen
The sandglass conjecture, posed by Simonyi, states that if a pair of families of subsets of is recovering then . We improve the best known upper bo…
math.CO2025
On problems in extremal multigraph theory
Victor Falgas-Ravry, Adva Mond, Rik Sarkar +1
A multigraph G is said to be an (s,q)-graph if every s-set of vertices in G supports at most q edges (counting multiplicities). In this paper we consider the maximal sum and produc…
math.MG2025
Intersections of random chords of a circle
Cynthia Bortolotto, Victor Souza
Where are the intersection points of diagonals of a regular -gon located? What is the distribution of the intersection point of two random chords of a circle? We investigate the…