22. The system of claim 19 , wherein the operator comprises Edge Distance, which is a function, f(u 1 ,u 2 ), that generates an inverse of a shortest path between the web documents u 1 and u 2 .
19. The system of claim 16 , further comprising: one or more web graph machines having stored thereon a web graph, the one or more web graph machines coupled with the search engine, wherein the web graph contains a plurality of interlinked web documents each represented by a node (u 1 , u 2 , . . . u n ); and wherein the search engine retrieves values of one or more operators from the one or more web graph machines based on the relative linking within the web graph of the one or more organic search results, the plurality of sponsored search results, and any of the plurality of web documents.