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math.CO2026
Erdős--Ko--Rado theorems in -norm for three finite spaces
Qian Bao, Yaojun Chen, Yanbo Zhang
Let be a -uniform hypergraph. The famous Erdős--Ko--Rado (1961) theorem determines the maximum size and extremal structure for being -intersecting…
math.CO2026
A note on tree-cycle Ramsey numbers
Ting Huang, Yanbo Zhang, Yaojun Chen
Let denote the Ramsey number of a tree on vertices versus a cycle of length . Burr, Erdős, Faudree, Rousseau, and Schelp (1982) asked for the least…
math.CO2026
Online Ramsey numbers of the claw versus cycles
Hexuan Zhi, Yanbo Zhang
The online Ramsey number is defined via a Builder--Painter game on an empty graph with countably many vertices. In each round, Builder reveals an edge, which Painte…