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math.CO2026

Any -graph with zero -degree Turán density is layered

Jiabao Yang, Xiaona Fang, Yaojun Chen

The codegree Turán density is the supremum over all such that, for arbitrarily large , there exists an -vertex -free -graph whose…

math.CO2026

On the codegree Turán density of projective geometries

Xiaona Fang, Yaojun Chen

Let be a -uniform hypergraph, abbreviated as -graph. The codegree Turán density is the supremum over all such that, for arbitrarily large , there e…

math.CO2026

On linear -graphs with codegree Turán density arbitrarily close to zero

Xiaona Fang, Yaojun Chen

Let be a -uniform hypergraph, abbreviated as -graph. The codegree Turán density is the supremum over all such that, for arbitrarily larg…

math.CO2026

On the threshold Ramsey multiplicity conjectures for paths and even cycles

Ting Huang, Jiabao Yang, Yaojun Chen

The Ramsey number of a graph is the minimum positive integer such that every red/blue edge-coloring of the complete graph on vertices contains a monochroma…

math.CO2026

Ramsey numbers and Gallai--Ramsey numbers of disjoint unions of cherries

Yanbo Zhang, Qian Chen, Yaojun Chen

For graphs , the Ramsey number is the smallest positive integer such that every -edge-coloring of contains a monochromatic copy of…

math.CO2026

New bounds for Ramsey numbers involving graphs with a center

Yanbo Zhang, Yaojun Chen

Let , , and be the graphs obtained by joining a vertex to independent edges, a cycle and a path of order , respectively. In this paper, we give n…