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- W2923546860 abstract "Let $K_n$ denote the complete graph on $n$ vertices and $G, H$ be finite graphs. Consider a two-coloring of edges of $K_n$. When a copy of $G$ in the first color, red, or a copy of $H$ in the second color, blue is in $K_n$, we write $K_nrightarrow (G,H)$. The Ramsey number $r(G, H)$ is defined as the smallest positive integer $n$ such that $K_{n} rightarrow (G, H)$. Star critical Ramsey $r_*(G, H)$ is defined as the largest value of $k$ such that $K_{r(G,H)-1} sqcup K_{1,k} rightarrow (G, H)$. In this paper, we find $r_*(C_n, K_m)$ for $m geq 7$ and $n geq (m-3)(m-1)$." @default.
- W2923546860 created "2019-04-01" @default.
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- W2923546860 date "2019-03-26" @default.
- W2923546860 modified "2023-09-27" @default.
- W2923546860 title "On Star critical Ramsey numbers related to large cycles versus complete graphs" @default.
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