A note on the size Ramsey numbers for matchings versus cycles

For graphs $G$, $F_1$, $F_2$, we write $G \rightarrow(F_1, F_2)$ if for every red-blue colouring of the edge set of $G$ we have a red copy of $F_1$ or a blue copy of $F_2$ in $G$. The size Ramsey number $\hat{r}(F_1, F_2)$ is the minimum number of edges of a graph $G$ such that $G \rightarrow(F_1, F...

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Bibliographic Details
Main Authors: Edy Tri Baskoro, Tomáš Vetrík
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2021-07-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/146/2/mb146_2_9.pdf