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- W4320168110 abstract "The linked double star $S_c(n,m)$, where $n geq m geq 0$, is the graph consisting of the union of two stars $K_{1,n}$ and $K_{1,m}$ with a path on $c$ vertices joining the centers. Its ramsey number $r(S_c(n,m))$ is the smallest integer $r$ such that every $2$-coloring of the edges of a $K_r$ admits a monochromatic $S_c(n,m)$. In this paper, we study the ramsey numbers of linked double stars when $c$ is odd. In particular, we establish bounds on the value of $r(S_c(n,m))$ and determine the exact value of $r(S_c(n,m))$ if $n geq c$, or if $n leq lfloor frac{c}{2} rfloor - 2$ and $m = 2$." @default.
- W4320168110 created "2023-02-13" @default.
- W4320168110 creator A5075289942 @default.
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- W4320168110 date "2021-10-14" @default.
- W4320168110 modified "2023-09-26" @default.
- W4320168110 title "On the Ramsey Numbers of Odd-Linked Double Stars" @default.
- W4320168110 doi "https://doi.org/10.48550/arxiv.2110.07779" @default.
- W4320168110 hasPublicationYear "2021" @default.
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