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        <journal-title>httpnewsbbccoukhienglishscitec hnewsid stm
Google sta they said that journalist had a lot of imagination</journal-title>
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      <p>to Web dynamics or just due to bad Web sites In fact W eb sites in IN could be considered as
new sites which are not linked because of causality reasons Similarly OUT sites could be old sites
a darker color represents older pages The a verage case can be considered as the freshness of a site
diagram for Set The colors represen t Web site age oldest a verage and new est page suc h that
One of the initial motivations of our study was to see if the IN and OUT components were related
which have not been updated Figure sho ws the relation between the macrostructure of the
Web using the number of Web sites in each component to represent the area of each part of the
distribution of the oldest page in each site for Set in eac h component of the Web structure versus
while the newest page a measure of update frequency on a site Figure plots the cum ulative
date in a logarithmic scale these curv es have the same shape as the ones in for pages The
central part is a line and represents the typical power laws that appear in many Web measures
site whic h is equivalent to the probability of being in any page of the site
points to good content pages In the similar w ay a page will have a high authority rank if it is
The hub and authority are complementary functions A page will ha ve a high hub rank if it
point to page i and is the number of outgoing links in page j Lj
When considering the rank of a Web site w e use the sum of all the ranks of the pages in the
where q is the probability of getting bored t ypically with j mj
referred by pages with good links In this w ay the authority of a page is dened as the sum of the
the pages it points to
hub ranks of the pages that point to it and the h ub rank of a page is the sum of the authority of
dieren t parts there is a group of new sites but the majorit y are old sites Hence a large fraction
increased whic h may imply a degradation of some part of the Web Inside the core MAINMAIN
than Set
the smaller percentage but it is larger as Set triples the n umber of sites of Set OUT also has
of IN are sites that never became popular
the sites in eac h component of the macrostructure of the W eb as w ell as the percentage change
among both data sets in more than a year Although Set did not include all the ISLANDS at
In Table w e give the numerical data for the average age as well as the Web quality sum for all
Several observations can be made from Table First sites in MAIN ha ve the higher Pagerank
MAINMAIN so the k ernel of the Web comes mostly from the past What is not ob vious is that
Notice that IN has the higher hub which is natural because sites in MAIN have the higher authority
on average sites in OUT are also newer than the sites in other components Finally IN sho ws two
has increased in expense of MAINNORM Ov erall Set represen ts a Web much more connected
component and that is wh y they are not linked y et The oldest sites are in MAIN in particular
that time w e estimate that Set w as of the sites w e can compare the core The core has
Here we obtain some conrmation to what can be expected The new er sites are in the Island
MAIN has the largest authority This mak es MAINMAIN a v ery important segment of the Web
and inside it MAINMAIN is the subcomponen t with highest Pagerank In a similar w ay MAIN
we can make the following two observations
where F j pages k linked by j f is the total w eight of the links in a page The result does agek
not change to much but the computation is slo wer
Yet another approach would be to study how good are the links based in the modication times
t and t for P and P suc h that t t t Lets assume that P and P reference P Then
of both pages involved in a link Suppose that page P has an actualization date of t and similarl y</p>
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