The size Ramsey number of graph G and H, denoted by r̂(G, H) is the smallest integer k such that there is a graph F with k edges satisfying F → (G, H). In this ...
Electronic Journal of Graph Theory and Applications 7 (1) (2019), 113–119. The connected size Ramsey number for match- ings versus small disconnected graphs.
In this case, we only consider connected graphs F satisfying the above properties. This connected size Ramsey number of G and H is denoted by rc(G,H): We will ...
May 8, 2022 · The connected size Ramsey number {\hat{r}}_c(G_1,G_2) is defined to be the minimum number of edges of a connected graph G.
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The connected size Ramsey number for matchings versus small disconnected graphs.
Nov 20, 2017 · They showed that the disconnected graph mK1,t → (mK2, K1,t) for t, m ≥ 1. In this paper, we will determine the connected size Ramsey number ...
Abstract. The concept of the size Ramsey number of a graph was in- troduced by Erdös, Faudree, Rousseau, and Schelp in 1978.
Abstract. Let F, G, and H be finite, simple and undirected graphs. The connected size Ramsey number ˆrc(G, H) of graph G and H is the.
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In 1981, Erdös and Faudree determined the size Ramsey numbers for the pair $$(mK_2, K_{1,t})$$ . They showed that the disconnected graph $$mK_{1,t ...