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math.CO2026
Solution of uniform Turán's Tetrahedron Problem
Bartłomiej Kielak, Daniel Král, Ander Lamaison +3
Turán's Tetrahedron Problem asks to determine the Turán density of the complete hypergraph (tetrahedron). This problem, posed by Turán in 1941, is one of the most famou…
math.CO2026
Fundamental cycles in grid graphs
Bartłomiej Kielak, Daniel Král', Ander Lamaison +1
We show that the average length of a fundamental cycle with respect to any fixed spanning tree of the square grid is at least ; the bound is asymptotically t…