Excellent! I was wondering when Google would finally release information regarding this highly controversial issue. I have always agreed with and followed Matt’s advice in having PR flow as freely as possible, natural linking is always the best linking in my experience with my search engine experience and results. I am very glad that you have addressed the topic of nofollow links having no effects in the Google SERPs, I was getting tired of telling the same topics covered in this article to my clients and other “SEOs”.
Contrary, in the first version of the algorithm the probability for the random surfer reaching a page is weighted by the total number of web pages. So, in this version PageRank is an expected value for the random surfer visiting a page, when he restarts this procedure as often as the web has pages. If the web had 100 pages and a page had a PageRank value of 2, the random surfer would reach that page in an average twice if he restarts 100 times.
The goal of SEO is to get a web page high search engine ranking. The better a web page's search engine optimization, the higher a ranking it will achieve in search result listings. (Note that SEO is not the only factor that determines search engine page ranks.) This is especially critical because most people who use search engines only look at the first page or two of the search results, so for a page to get high traffic from a search engine, it has to be listed on those first two pages, and the higher the rank, the closer a page is to the number one listing, the better.  And whatever your web page's rank is, you want your website to be listed before your competitor's websites if your business is selling products or services over the internet.
When would this be useful? If your site has a blog with public commenting turned on, links within those comments could pass your reputation to pages that you may not be comfortable vouching for. Blog comment areas on pages are highly susceptible to comment spam. Nofollowing these user-added links ensures that you're not giving your page's hard-earned reputation to a spammy site.
Start Value (In this case) is the number of actual links to each “node”. Most people actually set this to 1 to start, but there are two great reasons for using link counts. First, it is a better approximation to start with than giving everything the same value, so the algorithm stabilizes in less iterations and it is so useful to check my spreadsheet in a second… so node A has one link in (from page C)
Google works because it relies on the millions of individuals posting links on websites to help determine which other sites offer content of value. Google assesses the importance of every web page using a variety of techniques, including its patented PageRank™ algorithm which analyzes which sites have been “voted” the best sources of information by other pages across the web.

Google has a very large team of search quality raters that evaluate the quality of search results, that gets fed into a machine learning algorithm. Google’s search quality rater guidelines provide plenty of detail and examples of what Google class as high or low quality content and websites, and their emphasis on wanting to reward sites that clearly show their expertise, authority and trust (EAT).
It's key to understand that nobody really knows what goes into PageRank. Many believe that there are dozens if not hundreds of factors, but that the roots go back to the original concept of linking. It's not just volume of links either. Thousands of links by unauthoritative sites might be worth a handful of links from sites ranked as authoritative.
The mathematics of PageRank are entirely general and apply to any graph or network in any domain. Thus, PageRank is now regularly used in bibliometrics, social and information network analysis, and for link prediction and recommendation. It's even used for systems analysis of road networks, as well as biology, chemistry, neuroscience, and physics.[45]
The Google algorithm's most important feature is arguably the PageRank system, a patented automated process that determines where each search result appears on Google's search engine return page. Most users tend to concentrate on the first few search results, so getting a spot at the top of the list usually means more user traffic. So how does Google determine search results standings? Many people have taken a stab at figuring out the exact formula, but Google keeps the official algorithm a secret. What we do know is this:
We help clients increase their organic search traffic by using the latest best practices and most ethical and fully-integrated search engine optimization (SEO) techniques. Since 1999, we've partnered with many brands and executed campaigns for over 1,000 websites, helping them dominate in even highly competitive industries, via capturing placements that maximize impressions and traffic.
Discoverability is not a new concept for web designers. In fact Search Engine Optimization and various forms of Search Engine Marketing arose from the need to make websites easy to discover by users. In the mobile application space this issue of discoverability is becoming ever more important – with nearly 700 apps a day being released on Apple’...
Make it as easy as possible for users to go from general content to the more specific content they want on your site. Add navigation pages when it makes sense and effectively work these into your internal link structure. Make sure all of the pages on your site are reachable through links, and that they don't require an internal "search" functionality to be found. Link to related pages, where appropriate, to allow users to discover similar content. Denver Page Rank Click Here
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