Let’s start with what Google says. In a nutshell, it considers links to be like votes. In addition, it considers that some votes are more important than others. PageRank is Google’s system of counting link votes and determining which pages are most important based on them. These scores are then used along with many other things to determine if a page will rank well in a search.
Just think about any relationship for a moment. How long you've known a person is incredibly important. It's not the be-all-end-all, but it is fundamental to trust. If you've known someone for years and years and other people that you know who you already trust can vouch for that person, then you're far more likely to trust them, right? But if you've just met someone, and haven't really vetted them so to speak, how can you possibly trust them?
There are simple and fast random walk-based distributed algorithms for computing PageRank of nodes in a network.[33] They present a simple algorithm that takes {\displaystyle O(\log n/\epsilon )} rounds with high probability on any graph (directed or undirected), where n is the network size and {\displaystyle \epsilon } is the reset probability ( {\displaystyle 1-\epsilon } is also called as damping factor) used in the PageRank computation. They also present a faster algorithm that takes {\displaystyle O({\sqrt {\log n}}/\epsilon )} rounds in undirected graphs. Both of the above algorithms are scalable, as each node processes and sends only small (polylogarithmic in n, the network size) number of bits per round.

After adding your main competitors into Monitor Backlinks, use the metrics provided to determine which links are worth replicating. Don’t fall into the trap of trying to replicate all of them. All sites have bad links, even Wikipedia. You should only replicate the links that have a good authority. While not always the case, usually the more complicated it is to get a backlink from a website, the higher value it will have.
My main concern though, is Google appears to becoming reliant on sites doing MANY things for SE only. It also appears that Google is lowering the bar for YouTube videos in the organic SERPs and forcing their insertion as the cost of relevant pages. It even seems they are now doing the same for pictures, despite BOTH having their own SEs. I fear Google is attempting to increase profits, for it’s shareholders, in a rather impatient manner.
7. Keyword research. Specific target keywords aren’t as important for SEO success as they used to be, now that Google search is fueled by semantic and contextual understanding, but you should still be able to identify both head keyword (short, high-volume keywords) and long-tail keyword (longer, conversational, low-volume keywords) targets to guide the direction of your campaign.
Quite simply, a backlink is one website mentioning another website and linking to it. It is not merely referencing the website or it’s web address. It has to be a clickable link using an href attribute within the code. It is the difference between http://www.moz.com and Moz. Even though the first example displays a URL, the search engines do not register this as a backlink, whereas the word that has a link (often underlined and in a different color), is.

A small search-engine called "RankDex" from IDD Information Services, designed by Robin Li, was, from 1996, already exploring a similar strategy for site-scoring and page-ranking.[19] Li patented the technology in RankDex in 1999[20] and used it later when he founded Baidu in China in 2000.[21][22] Larry Page referenced Li's work in some of his U.S. patents for PageRank.[23]
Ask for explanations if something is unclear. If an SEO creates deceptive or misleading content on your behalf, such as doorway pages or "throwaway" domains, your site could be removed entirely from Google's index. Ultimately, you are responsible for the actions of any companies you hire, so it's best to be sure you know exactly how they intend to "help" you. If an SEO has FTP access to your server, they should be willing to explain all the changes they are making to your site.
PageRank is one of many, many factors used to produce search rankings. Highlighting PageRank in search results doesn’t help the searcher. That’s because Google uses another system to show the most important pages for a particular search you do. It lists them in order of importance for what you searched on. Adding PageRank scores to search results would just confuse people. They’d wonder why pages with lower scores were outranking higher scored pages.

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