| where X is the linking
page, PR(X) is its PageRank and C(X) is the number of its outbound
links. Hence, this value also represents the PageRank loss of a formerly
closed system of web pages, when a page X within this system of pages
now points by a link to an external page.
The validity of the above formula requires that the page which
receives the link from the formerly closed system of pages does
not link back to that system, since it otherwise gains back some
of the lost PageRank. Of course, this effect may also occur when
not the page that receives the link from the formerly closed system
of pages links back directly, but another page which has an inbound
link from that page. Indeed, this effect may be disregarded because
of the damping factor, if there are enough other web pages in-between
the link-recursion. The validity of the formula also requires that
the linking site has no other external outbound links. If it has
other external outbound links, the loss of PageRank of the regarded
site diminishes and the pages already receiving a link from that
page lose PageRank accordingly.
Even if the actual PageRank values for the pages of an existing
web site were known, it would not be possible to calculate to which
extend an added outbound link diminishes the PageRank loss of the
site, since the above presented formula regards the status after
adding the link.
Intuitive Justification of the Effect of Outbound
Links
The intuitive justification for the loss of PageRank by an additional
external outbound link according to the Random Surfer Modell is
that by adding an external outbound link to one page the surfer
will less likely follow an internal link on that page. So, the probability
for the surfer reaching other pages within a site diminishes. If
those other pages of the site have links back to the page to which
the external outbound link has been added, also this page's PageRank
will deplete.
We can conclude that external outbound links diminish the totalized
PageRank of a site and probably also the PageRank of each single
page of a site. But, since links between web sites are the fundament
of PageRank and indespensable for its functioning, there is the
possibility that outbound links have positive effects within other
parts of Google's ranking criteria. Lastly, relevant outbound links
do constitute the quality of a web page and a webmaster who points
to other pages integrates their content in some way into his own
site.
5.
The Effect of Outbound Links (continued)
This article reproduced with permission of eFactory.
© 2002 eFactory Internet-Agentur KG Online-Marketing - written
by Markus Sobek
PageRank and Google are trademarks of Google Inc., Mountain ViewCA,
USA.
PageRank is protected by US Patent 6,285,999.
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