A generalization of PageRank for the case of ranking two interacting groups of objects was described in [30] In applications it may be necessary to model systems having objects of two kinds where a weighted relation is defined on object pairs. This leads to considering bipartite graphs. For such graphs two related positive or nonnegative irreducible matrices corresponding to vertex partition sets can be defined. One can compute rankings of objects in both groups as eigenvectors corresponding to the maximal positive eigenvalues of these matrices. Normed eigenvectors exist and are unique by the Perron or Perron-Frobenius theorem. Example: consumers and products. the relation weight is the product consumption rate.

These are paid advertisements via Google AdWords. You can differentiate these from organic (non-paid, earned) results because of the tiny yellow “ad” icon. Normally, you will also see paid ads at the top of the SERP as well. In this book, we are only talking about SEO for organic search results, not advertising through search engines. But it is important to understand the difference as a user, and as a search engine optimizer, as they can both be valuable.

If someone clicks on your PPC listing, they arrive at your website on a page you’ve selected, and you are charged an amount no more than what you bid. So, if you bid $1.50 maximum on the keyword ‘widgets’, and that’s the highest bid, you’ll probably show up first in line. If 100 people click on your PPC listing, then the search engine or PPC service will charge you a maximum of$150.00.
In the past, the PageRank shown in the Toolbar was easily manipulated. Redirection from one page to another, either via a HTTP 302 response or a "Refresh" meta tag, caused the source page to acquire the PageRank of the destination page. Hence, a new page with PR 0 and no incoming links could have acquired PR 10 by redirecting to the Google home page. This spoofing technique was a known vulnerability. Spoofing can generally be detected by performing a Google search for a source URL; if the URL of an entirely different site is displayed in the results, the latter URL may represent the destination of a redirection.

PPC is an advertising method a company executes by placing paid text or display advertisements on search engine web results pages or website pages. The owner of the ad pays a fee to the host website or search engine, through the advertising management platform, when web users click the ad. Each click will open up your business profile, website, goods or services to the visitor. In essence, you are “buying” visitors who may become clients.
How many times do we need to repeat the calculation for big networks? That’s a difficult question; for a network as large as the World Wide Web it can be many millions of iterations! The “damping factor” is quite subtle. If it’s too high then it takes ages for the numbers to settle, if it’s too low then you get repeated over-shoot, both above and below the average - the numbers just swing about the average like a pendulum and never settle down.
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.
Google started search engine advertising in December 1999. It was not until October 2000 that the AdWords system was introduced, allowing advertisers to create text ads for placement on the Google search engine. However, PPC was only introduced in 2002; until then, advertisements were charged at cost-per-thousand impressions or Cost per mille (CPM). Overture has filed a patent infringement lawsuit against Google, saying the rival search service overstepped its bounds with its ad-placement tools.[13]
If you have the Google toolbar installed in your browser, you will be used to seeing each page’s PageRank as you browse the web. But all isn’t always as it seems. Many pages that Google displays the PageRank for haven’t been indexed in Google and certainly don’t have any PageRank in their own right. What is happening is that one or more pages on the site have been indexed and a PageRank has been calculated. The PageRank figure for the site’s pages that haven’t been indexed is allocated on the fly – just for your toolbar. The PageRank itself doesn’t exist.
Every SERP is unique, even for search queries performed on the same search engine using the same keywords or search queries. This is because virtually all search engines customize the experience for their users by presenting results based on a wide range of factors beyond their search terms, such as the user’s physical location, browsing history, and social settings. Two SERPs may appear identical, and contain many of the same results, but will often feature subtle differences.

### Links still matter as part of the algorithmic secret sauce. The influence of a site’s link profile is plain to see in its search engine rankings, whether for better or worse, and changes in that link profile cause noticeable movement up or down the SERP. An SEO’s emphasis today should be on attracting links to quality content naturally, not building them en masse. (For more on proper link building today, see http://bit.ly/1XIm3vf )

The process of harvesting search engine result pages data is usually called "search engine scraping" or in a general form "web crawling" and generates the data SEO related companies need to evaluate website competitive organic and sponsored rankings. This data can be used to track the position of websites and show the effectiveness of SEO as well as keywords that may need more SEO investment to rank higher.
There are simple and fast random walk-based distributed algorithms for computing PageRank of nodes in a network.[31] 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.
You can't develop a strong search engine optimization strategy without first establishing goals and problems. When you use SEO Inc as your search engine optimization company, we will conduct a thorough SEO analysis of all aspects of your website, as well as market research and analysis of your competitors. Our SEO experts review the code and web analytics, identify any problems and find new opportunities for growth. We deliver the findings and work together to develop the perfect campaign to meet your desired results. Our website optimization and search engine optimization services will drive revenue and build your business' brand.
Search engine advertising is one of the most popular forms of PPC. It allows advertisers to bid for ad placement in a search engine's sponsored links when someone searches on a keyword that is related to their business offering. For example, if we bid on the keyword “PPC software,” our ad might show up in the very top spot on the Google results page.

Structured data21 is code that you can add to your sites' pages to describe your content to search engines, so they can better understand what's on your pages. Search engines can use this understanding to display your content in useful (and eye-catching!) ways in search results. That, in turn, can help you attract just the right kind of customers for your business.

## It’s next to impossible to keep up with the ever-changing landscape of SEO. Since 1997, SEO Inc. has been dedicated to the science and art of Search Engine Optimization, staying on the forefront of SEO trends and changes in algorithms, among a variety of other things. When you let SEO Inc. develop your search engine optimization strategy, with our advanced seo services it frees you up to focus on your business/industry while leaving the search engine optimization tactics to us. Our longevity and commitment to excellence puts us as a leading SEO company in the SEO industry. When you hire us, you get more than just another SEO company; you get a new member of your team hell-bent on seeing you succeed. SEO is one of the highest ROI online marketing strategies to-date. Your business needs search optimization with a strong SEO strategy to move the needle. SEO Inc uses our own, in-house search engine optimization tools and website optimization techniques.

Google's strategy works well. By focusing on the links going to and from a Web page, the search engine can organize results in a useful way. While there are a few tricks webmasters can use to improve Google standings, the best way to get a top spot is to consistently provide top quality content, which gives other people the incentive to link back to their pages.
PPC stands for “pay-per-click”. PPC advertising platforms allow you to create content, show it to relevant users and then charge you for specific actions taken on the ad. In many cases, you’ll be paying for ad clicks that take users to your site, but on some platforms you can also pay for other actions like impressions, video views and on-site engagements.
Keyword research for PPC can be incredibly time-consuming, but it is also incredibly important. Your entire PPC campaign is built around keywords, and the most successful Google Ads advertisers continuously grow and refine their PPC keyword list. If you only do keyword research once, when you create your first campaign, you are probably missing out on hundreds of thousands of valuable, long-tail, low-cost and highly relevant keywords that could be driving traffic to your site.
Consumer ratings are extra annotations that promote business ratings based on various customer surveys. This extension is only found in Google and is automatically populated. Google pulls these ratings from trusted sources and specifies that businesses must have at least 30 unique reviews in order to show. Consumer rating extensions are determined only for certain businesses and industries based on Google’s discretion.
The green ratings bars are a measure of the importance Google’s assessment of the importance of a web page, as determined by Google’s patented PageRank technology and other factors. These PageRank bars tell you at a glance whether other people on the web consider Google considers a page to be a high-quality site worth checking out. Google itself does not evaluate or endorse websites. Rather, we measure what others on the web feel is important enough to deserve a link. And because Google does not accept payment for placement within our results, the information you see when you conduct a search is based on totally objective criteria.
Content is a major factor in building out topics related to your brand that could come up in relevant searches — and that content isn’t necessarily housed on your own site. Content can come from popular sources such as YouTube, SlideShare, blogs and other sources valued by consumers, and in some cases,  it will provide additional confidence in the brand since it is not in their owned website. In fact, having this content ranking well in the SERP should be part of their SEO success metrics.
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: