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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…
math.CO2024
Size Ramsey numbers of small graphs versus fans or paths
Yufan Li, Yanbo Zhang, Yunqing Zhang
For two graphs and , the size Ramsey number is the smallest positive integer for which there exists a graph of size such that for any red-…
math.CO2024
Matching-star size Ramsey numbers under connectivity constraint
Fanghua Guo, Yanbo Zhang, Yunqing Zhang
Recently, Caro, Patkós, and Tuza (2022) introduced the concept of connected Turán number. We study a similar parameter in Ramsey theory. Given two graphs and , the size…