D. Krotov

collaborators

2 papers

math.CO2026

Do K33-Free Latin Squares Exist?

Aleksandr D. Krotov, Denis S. Krotov

We discuss the problem of existence of latin squares without a substructure consisting of six elements $(r_{1}, c_{2}, l_{3})$ , $(r_{2}, c_{3}, l_{1})$ , $(r_{3}, c_{1}, l_{2})$ , $(r_{2}, c_{1}, l_{3})$ , $(r_3,c_2…

math.CO2025

Triangle decompositions of PG(n-1,2)

Minjia Shi, Xiaoxiao Li, Denis S. Krotov

We define a triangle design as a partition of the set of lines of a projective space into triangles, where a triangle consists of three pairwise intersecting lines with no common p…