# Tag Info

I don't think the Bollobás paper asserts the bound on the independence number; rather, it seems to me that it asserts that for any given maximum degree $\Delta$ and lower bound on the girth $g$, there exists graphs of degree at most $\Delta$ and girth at least $g$ with independence ratio at most $2\log \Delta/\Delta$. In contrast, as you mention, the Frieze ...