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I also believe that domain authority is established topically
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There are different possible approaches to domain authority score calculation covered by several papapers:
Hilltop - where "good" expert pages are used to rank authority pages iteratively
Topical PageRank - where Google identifies several topics using sites like DMOZ and ranked pages according to PageRank within a topical group
PageRank - where authority score is calculated without regard to the query
Then there are bunch of other papers (e.g. CLEVER..too late for me, ready to nod off here)
As I posted before, I've already proven domain authority is overhyped. Peter credited v7n's authority for ranking 3rd for "free SEO course" and 7th for "seo course" but I outranked blog.v7n.com for both those terms with a TBPR 4 blog.