[PDF][PDF] A proof of a conjecture on matching-path connected size Ramsey number

Y Zhang, Y Zhang, H Zhi - AIMS Mathematics, 2023 - aimspress.com
For two graphs G1 and G2, the connected size Ramsey number rc (G1, G2) is the smallest
number of edges of a connected graph G such that if each edge of G is colored red or blue …

Size Ramsey numbers of small graphs versus fans or paths

Y Li, Y Zhang, Y Zhang - arxiv preprint arxiv:2404.04432, 2024 - arxiv.org
For two graphs $ G_1 $ and $ G_2 $, the size Ramsey number $\hat {r}(G_1, G_2) $ is the
smallest positive integer $ m $ for which there exists a graph $ G $ of size $ m $ such that for …