Whether the routing convergence will continue to degrade as thenumber of prefixes scale depends on the scalability of the control plane CPU/memory.Isn't there also a limit where the number of bits of update info to be sent over some links per unit time exceeds the spare capacity on those links, in such a way that convergence becomes impossible, just as much as if you exceed the memory speed?
True, but the spare capacity on most links these days is orders of magnitude more than is necessary for BGP even at its peak. Consider that core routers today typically have 10Gb/s interfaces (or more) and a single lowly CPU computing BGP updates. I'd be impressed if you could generate even a burst at 1Gb/s. ;-)
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