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math.CO2026
Upper Bounds on Turán Densities via Extremal Set Theory
Yaobin Chen, Xizhi Liu, Ningyuan Yang +1
We exhibit, in a systematic way, connections between hypergraph Turán problems and extremal set theory. More specifically, we construct natural families of uniform hypergraphs for…
math.CO2026
Chromatic thresholds for linear equations and recurrence
Hong Liu, Zhuo Wu, Ningyuan Yang +1
Motivated by classical problems in extremal graph theory, we study a chromatic analogue of Roth-type questions for linear equations over . Given a homogeneous equation…