  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 $m = 2$.
