Another well-known algorithm is Hubs and Authorities (HITS) . Basically, you classify your page as a hub (page with a lot of outgoing links) and authorities (page with a lot of inbound links).
But you must really determine what you mean by importance. What is really important? PageRank defines it with respect to incoming links. These are PageRank definitions.
If you determine the importance of photography because you like photography. Then you can come up with an important metric, such as the number of photos per page. Another indicator may be the number of inbound links from a photo site (e.g. flickr.com
, 500px
, ...)
Using your definition of importance, you can use β1- (the number of inbound links divided by the number of pages on the site). This gives you a number from 0 to 1. 0 means it doesn't matter, but 1 means value.
Using this indicator, your fingerprint that appears on all pages of the site has a value of 0. Your Christmas sale page, which has only one link, has a value of almost 1
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