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Search engines on the web have been using TrustRank algorithm for determining relevant search results. Apart from counting the number of links that point to a website - as is followed by the original PageRank algorithm, TrustRank also considers authority of the concerned website. TrustRank was intended to fight web spam in the search results and hence proposed a technique to semi-automatically separate reputable, good pages from spam. The method involved selection of a small set of seed pages to be evaluated by an expert. After manually identifying the reputable seed pages, they effectively used the link structure of the web to find out other likely good pages.
Although not suggested in official terms, most professional search engine optimizers are sure that major search engines including Google use this very concept to improve the quality of their search results. In fact, it is not just that you have as many links as possible; your website also needs links from the right kind of websites. It is also imperative that search engines trust your site.
The following steps would help search engines identify that you have a trusted website