3 papers
math.CO2026
On the rainbow Cameron-ErdÅs 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
Constrained Ramsey numbers for rainbow
Xihe Li, Xiangxiang Liu
Given a graph and a positive integer , the {\it -colored Ramsey number} is the minimum integer such that in every -edge-coloring of the complete graph $K_…
math.CO2025
On the multicolor Turán conjecture for color-critical graphs
Xihe Li, Jie Ma, Zhiheng Zheng
A {\it simple -coloring} of a multigraph is a decomposition of the edge multiset as a disjoint sum of simple graphs which are referred as colors. A subgraph of a mul…