One final note is that if the links are not directly related to the subject, or you have no control over them, such as commentors’ website links, maybe you should consider putting them on another page, which links to your main content. That way you don’t leak page rank, and still gain hits from search results from the content of the comments. I may be missing something but this seems to mean that you can have your cake and eat it, and I don’t even think it is gaming the system or against the spirit of it. You might even gain a small sprinkling of page rank if the comment page accumulates any of it’s own.
As mentioned above, the two versions of the algorithm do not differ fundamentally from each other. A PageRank which has been calculated by using the second version of the algorithm has to be multiplied by the total number of web pages to get the according PageRank that would have been caculated by using the first version. Even Page and Brin mixed up the two algorithm versions in their most popular paper "The Anatomy of a Large-Scale Hypertextual Web Search Engine", where they claim the first version of the algorithm to form a probability distribution over web pages with the sum of all pages' PageRanks being one.
But this leads to a question — if my husband wants to do a roundup of every Wagner Ring Cycle on DVD, that’s about 8 Amazon links on the page, all bleeding PR away from his substantive insights. If he, instead, wants to do a roundup of every Ring Cycle on CD, that’s about two dozen items worth discussing. The page would be very handy for users, and would involve considerably more effort on his part… but no good deed goes unpunished, and in the eyes of Google the page would be devalued by more than two thirds.
Regarding nofollow on content that you don’t want indexed, you’re absolutely right that nofollow doesn’t prevent that, e.g. if someone else links to that content. In the case of the site that excluded user forums, quite a few high-quality pages on the site happened not to have links from other sites. In the case of my feed, it doesn’t matter much either way, but I chose not to throw any extra PageRank onto my feed url. The services that want to fetch my feed url (e.g. Google Reader or Bloglines) know how to find it just fine.
That type of earth-shattering failure and pain really does a number on a person. Getting clean and overcoming those demons isn't as simple as people make it out to be. You need to have some serious deep-down reasons on why you must succeed at all costs. You have to be able to extricate yourself from the shackles of bad habits that have consumed you during your entire life. And that's precisely what Sharpe did.
A breadcrumb is a row of internal links at the top or bottom of the page that allows visitors to quickly navigate back to a previous section or the root page. Many breadcrumbs have the most general page (usually the root page) as the first, leftmost link and list the more specific sections out to the right. We recommend using breadcrumb structured data markup28 when showing breadcrumbs.