3 papers
math.CO2026
Curves on the torus with few intersections
Igor Balla, Marek Filakovský, BartÅomiej Kielak +2
Aougab and Gaster [Math. Proc. Cambridge Philos. Soc. 174 (2023), 569-584] proved that any set of simple closed curves on the torus, where any two are non-homotopic and intersect a…
math.CO2025
Factorization norms and an inverse theorem for MaxCut
Igor Balla, Lianna Hambardzumyan, István Tomon
We prove that Boolean matrices with bounded -norm or bounded normalized trace norm must contain a linear-sized all-ones or all-zeros submatrix, verifying a conjecture of Hamb…
math.CO2025
Equiangular lines via improved eigenvalue multiplicity
Igor Balla, Matija BuciÄ
A family of lines passing through the origin in an inner product space is said to be equiangular if every pair of lines defines the same angle. In 1973, Lemmens and Seidel raised w…