4 papers
math.CO2025
A step toward Chen-Lih-Wu conjecture
Yangyang Cheng, Zhenyu Li, Wanting Sun +1
An equitable -coloring of a graph is a proper -coloring where the sizes of any two different color classes differ by at most one. In 1973, Meyer conjectured that every connec…
math.CO2025
Subdivision-free graphs with the maximum spectral radius
Wanting Sun, Guanghui Wang, Pingchuan Yang
Given a graph family , let denote the set of -vertex -subdivision-free graphs with the maximum spectral radius. In t…
math.CO2025
Phase transitions of the Erdős-Gyárfás function
Xinyu Hu, Qizhong Lin, Xin Lu +1
Given positive integers . For any integer , an edge coloring of the complete -graph is said to be a -coloring if every copy of receive…
math.CO2024
Anti-Ramsey numbers of loose paths and cycles in uniform hypergraphs
Tong Li, Yucong Tang, Guanghui Wang +1
For a fixed family of -uniform hypergraphs , the anti-Ramsey number of , denoted by , is the minimum number of colors such th…