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

For two graphs $ G_1 $ and $ G_2 $, the connected size Ramsey number $ {\hat{r}}_c(G_1, G_2) $ is the smallest number of edges of a connected graph $ G $ such that if each edge of $ G $ is colored red or blue, then $ G $ contains either a red copy of $ G_1 $ or a blue copy of $ G_2 $. Let $ nK_2 $...

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Bibliographic Details
Main Authors: Yixin Zhang, Yanbo Zhang, Hexuan Zhi
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023406?viewType=HTML