So, the probability for the random surfer reaching one page is the sum of probabilities for the random surfer following links to this page. Now, this probability is reduced by the damping factor d. The justification within the Random Surfer Model, therefore, is that the surfer does not click on an infinite number of links, but gets bored sometimes and jumps to another page at random.


Search engine optimization (SEO) is the process of affecting the online visibility of a website or a web page in a web search engine's unpaid results—often referred to as "natural", "organic", or "earned" results. In general, the earlier (or higher ranked on the search results page), and more frequently a website appears in the search results list, the more visitors it will receive from the search engine's users; these visitors can then be converted into customers.[1] SEO may target different kinds of search, including image search, video search, academic search,[2] news search, and industry-specific vertical search engines. SEO differs from local search engine optimization in that the latter is focused on optimizing a business' online presence so that its web pages will be displayed by search engines when a user enters a local search for its products or services. The former instead is more focused on national or international searches.
You should fix all errors which can impair users’ expectations. By hurting user experience, you endanger the organic growth of your traffic because Google will surely limit it. Do this task thoroughly and don’t be in a hurry, otherwise, you might learn that your backlinks don’t work. Be responsible for each decision and action. Search Engine Optimization (SEO) works better when the technical optimization of your site meets the standards.
How does it work? In essence, you use Google Adwords (or another search engine’s equivalent – depending on the market you work in; in China, you’d be looking at Baidu, for example) to place bids on keyphrases; you write an advert based on that keyphrase; the search engine places the advert near the top of the search rankings, and you pay the amount of the bid every time someone clicks on your advert.

In essence, backlinks to your website are a signal to search engines that others vouch for your content. If many sites link to the same webpage or website, search engines can infer that content is worth linking to, and therefore also worth surfacing on a SERP. So, earning these backlinks can have a positive effect on a site's ranking position or search visibility.
To answer your question, David, take a look at Jim’s comment below. Yes, you can and SHOULD optimize PR by directing link equity at important pages and internally linking within a theme. PageRank is a core part of the Google ranking algo. We don’t get visibility into PageRank as a number or score, but you need to know about the concept in order to direct your internal, strategic linking and navigation.
At the time I was strongly advocating page rank sculting by inclusion of no follow links on “related product” links. It’s interesting to note that my proposed technique would have perhaps worked for a little while then would have lost its effectiveness. Eventualy I reached the point where my efforts delivered diminishing returns which was perhaps unavoidable.

Do you regularly publish helpful, useful articles, videos or other types of media that are popular and well produced? Do you write for actual human beings rather than the search engine itself? Well, you should. Latest research from Searchmetrics on ranking factors indicates that Google is moving further towards longer-form content that understands a visitor’s intention as a whole, instead of using keywords based on popular search queries to create content. 

Every mechanism or algorithm is good untill someone brake it. In my opinion as people tend to scam the search results, google is getting more and more consevative upon indexing and ranking search results. When I search a word or a phrase I see more wikipedia, amazon, google, youtube, etc. links returning my search, even the page name or headline does not cover the keywords in the phrase. I’m getting afraid that this may lead to an elitist web nature in the future.

Make sure your backlinks appear to be natural. Don’t ask webmasters to link back to your pages with a specific anchor text since this can haphazardly result in a pattern that may get noticed by search engines and cause you to get a linking penalty, a la Penguin. Also, don’t do anything shady or unnatural to create backlinks, like asking a site to put a link in the footer of every page on their site.

I think it is important you distinguish your advice about no-following INTERNAL links and no-following EXTERNAL links for user-generated content. Most popular UGC-heavy sites have no-followed links as they can’t possibly police them editorially & want to give some indication to the search engines that the links haven’t been editorially approved, but still might provide some user benefit.
Cause if I do that, If I write good content, whilst my 100+ competitors link build, article market, forum comment, social bookmark, release viral videos, buy links, I’ll end up the very bottom of the pile, great content or not and really I am just as well taking my chances pulling off every sneaky trick in the book to get my site top because, everyone does it anyway and if I don’t what do have to lose?”
Search engine optimization is a key part of online marketing because search is one of the primary ways that users navigate the web. In 2014, over 2.5 trillion searches were conducted worldwide across search engines such as Google, Bing, Yahoo, Baidu, and Yandex. For most websites, traffic that comes from search engines (known as "natural" or "organic" traffic) accounts for a large portion of their total traffic.

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