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Theory and Practice. Why do search engines fight link spam?
Because any type of spam reduces the quality of search results. Link spam targets sites and pages whose positions were obtained unnaturally, aiming to manipulate search engine algorithms.
PageRank
One of the first algorithms designed to combat spam (not link spam but text spam) was Google’s PageRank.
PR(A)=(1-d)+d(PR(T1)/C(T1)+…+PR(Tn)/C(Tn)), where
PR(A) – weight of page A;
PR(Tn) – weight of the page linking to A;
C(Tn) – number of links on page Tn;
d – damping factor, usually 0.85;
1-d – teleportation element.
Principle: a “Random Surfer” moves through links randomly. He may either follow one of the links or “teleport” to any page. The probability of following a link is the PageRank.

From the formula we can understand how to manipulate PageRank:
Conclusions about links on your page:
Ironically, PageRank, created to fight text spam, started the age of link spam.
TrustRank
The goal of the algorithm is to detect spam pages and trustworthy ones.
It is based on semi-automatic detection of good pages, relying on these principles:
Working principle:
1. Compute inverted PageRank (based on outbound links).
2. Perform manual evaluation (~200 sites are enough to assess the Web).
0 – spam
1 – good
3. TrustRank spreads as follows:
TrustRank was developed in 2004.
Note: This describes the algorithm used by Yahoo. Other engines may use similar algorithms. Google acquired Hilltop in 2003.
High TrustRank factors:
Example: Wikipedia ranks high because it has been manually assigned a very high trust level.
Topic-sensitive PageRank
This algorithm calculates link weight considering the topic of the donor page. Each topic has its own vector. Topic similarity is measured by vector closeness.
Possible manipulation:
BrowseRank
BrowseRank is another algorithm used by search engines.
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