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Edge density and minimum degree thresholds for -free graphs with unbounded chromatic number
Zhuo Wu, Yisai Xue
The chromatic threshold of a graph is the infimum of such that the chromatic number of every -vertex -free graph with minimum degree at least is bound…
A directed Andrásfai-Erdős-Sós theorem and chromatic profiles of oriented cycles
Yisai Xue
The chromatic profile of a digraph , denoted by , is the infimum such that any -free digraph on vertices with minimum out-degree m…
Stability with minuscule structure for chromatic thresholds
Jaehoon Kim, Hong Liu, Chong Shangguan +3
The chromatic threshold of a graph is the infimum of such that the chromatic number of every -vertex -free graph with minimum degree at least is boun…
On generalized Tur{á}n problems with bounded matching number and circumference
Yongchun Lu, Liying Kang, Yisai Xue
Let \( \mathcal{F} \) be a family of graphs. The generalized Turán number \( \operatorname{ex}(n, K_r, \mathcal{F}) \) is the maximum number of in an \( n \)-vertex graph tha…