Comment by srean

A few minor nitpicks. Pagerank is not just link counting, who is linking to the page matters. Among the linking pages those that are ranked higher matter more -- and how does one figure out their rank ? its by Pagerank. It may sound a bit like chicken and egg but its fine, its the fixed point of the self-referential. definition.

Pagerank based ranking will not return the same set of pages. Its true that the ranking is global in vanilla version of Pagerank, but what gets returned in rank order is the set of qualifying pages. The set of qualifying pages are very much query sensitive. Pagerank also depends on a seed set of initial pages, these may also be set on a query dependent way.

All this is a little moot now, because Pagerank even defined in this way stopped being useful a long time ago.