2 papers
math.CO2026
On the rainbow Cameron-Erdős problem with respect to generalized Sidon sets of multidimensional grids
Xihe Li, Runshan Wang
For positive integers , , and , let be the -dimensional grid of order , and we refer to the equation $\sum_{i=1}^{h}x_{1,i}=\cdots =\sum_{i=1}^{h}x_{k,i}…
math.CO2025
Edge-colored 3-uniform hypergraphs without rainbow paths of length 3 and applications to Ramsey theory
Xihe Li, Runshan Wang
Motivated by problems in Ramsey theory, we study edge-colorings of 3-uniform hypergraphs that contain no rainbow paths of length 3. We consider the following three natural 3-unifor…