2 papers
math.QA2026
Classification of integral modular data up to rank 13
Max A. Alekseyev, Winfried Bruns, Sebastien Palcoux +1
This paper classifies the modular data of integral modular fusion categories up to rank 13, and integral half-Frobenius fusion rings up to rank 12. We establish that every perfect…
math.CO2025
Maximizing the number of integer pairs summing to powers of 2 via graph labeling and solving restricted systems of linear (in)equations
Max A. Alekseyev
We address the problem of finding sets of integers of a given size with a maximum number of pairs summing to powers of . By fixing particular pairs, this problem reduces to find…