We consider an all-optical network whose topology is a ring interconnecting $n$ nodes. Each node can be connected to $\La$ of the $>l$ wavelengths of the ring. Each pair of nodes should share at least $>b$ common wavelengths. The load of a wavelength equals the number of nodes connected to it. In this paper, we focus our attention in finding a wavelengths assignment to nodes for given values of the $n$, $\La$, $>l$ and $>b$. We give some bounds and some (near)optimal polynomial strategies for assigning wavelengths.