3 papers
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…
math.CO2024
Disproofs of four Gallai-Ramsey-type conjectures
Yanbo Zhang, Yaojun Chen
As a significant variation of Ramsey numbers, the Gallai-Ramsey number refers to the smallest positive integer such that, by coloring the edges of with at most…