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#### scorpion

6:37 am on Nov 21, 2002 (gmt 0)

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joined:Aug 15, 2002
posts:450

If a site A is linked to from sites X,Y,Z each with pagerank y, is the pagerank of A a linear combination of this?

e.g. is PR(A) = ayX + byY + czZ, where a,b,c are some weighings?

#### lazerzubb

9:31 am on Nov 21, 2002 (gmt 0)

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joined:Sept 16, 2001
posts:2059

But if X,Y,Z have the same PageRank, and they all link to A, it doesn't mean that A will get the same amount of PageRank from each page linking to it, even though they have the same PageRank.

The PageRank value for X,Y,Z will be diveded with the number of links pointing out from the specific page.
So if PageRank value for X (which is the same for Y and Z) is 1, and let's say the damping factor, is 0.85 (that's the damping factor they use in the original Backrub/Google paper [www-db.stanford.edu]), then the remaining PageRank is 0.15, if it then have 2 links pointing out from the page, and one of them is to page A, it will get a PageRank of 0.075

So the PageRank for the page is dived by the number of links pointing out.

9:55 am on Nov 21, 2002 (gmt 0)

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joined:Dec 11, 2001
posts:2725

from that paper: PR(A) = (1-d) + d (PR(T1)/C(T1) + ... + PR(Tn)/C(Tn))

the (1-d) comes in with raw Pagerank.

The toolbar Pagerank is log scale of the raw Pagerank. The (1-d) makes no significant contribution to the total Pagerank in practice.

So if three Toolbar Pagerank 5 pages all link to A, and each have three links on their pages, the Toolbar Pagerank of A will be 0.85 (d) times the toolbar Pagerank 5.

Yes as far as we know now, the individual Pagerank of the linking pages can be added to each other, provided you dilute them by the amount of links and you discount the dampening factor.

#### ciml

4:15 pm on Nov 23, 2002 (gmt 0)

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joined:June 22, 2001
posts:3805

I agree with vitaplease about "d"; the damping factor of 0.85 was the PR passed on, not the PR dissipated. So a page with raw PageRank of 1 would pass on (1 x 0.85 /2) = 0.425 (The current figure is close to 0.9 IMO)

Because of the log scale, the three PR5 links (with each page having 3 links) give logn(n5 x d) instead of the (5 x d) from the raw PR calculation. Taking d=9 this would give roughly 4.55 using Toolbar PR versus 4.97 using raw PR.

#### soapystar

4:19 pm on Nov 23, 2002 (gmt 0)

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joined:June 19, 2002
posts:1945

what if a page has 30 links outgoing and pr5..and then the page splits itself into 30 pages each with a single link and each with a pr5 cause they are all linked from the home page...how muc difference does this make to a link from one of these pages now?

#### danny

12:12 am on Nov 24, 2002 (gmt 0)

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joined:Oct 27, 2001
posts:784

#### uk_dokey

3:49 am on Nov 24, 2002 (gmt 0)

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joined:Aug 5, 2001
posts:79

No but poor speelling and proper use of capitals CerTaInLy ArE.

Seriously now...I think it may well be. You spend all that time getting links and waiting for the update then find out it was a waste of time so you do it again next month and then again and again. Your wife gives you an ultimatum "its either me or the PR" thats when you know you have a problem.

#### Woz

4:00 am on Nov 24, 2002 (gmt 0)

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joined:Aug 13, 2000
posts:4823

let us know scorpion and we will fix it.

Onya
Woz

#### scorpion

4:09 am on Nov 24, 2002 (gmt 0)

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joined:Aug 15, 2002
posts:450

#### Woz

4:15 am on Nov 24, 2002 (gmt 0)

#### Senior Member

joined:Aug 13, 2000
posts:4823

Onya
Woz

#### snowfox121

6:39 am on Nov 24, 2002 (gmt 0)

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joined:Apr 15, 2002
posts:109

Judging from this forum, i'd have to say Pagerank is addictive too. LOL

#### lazerzubb

7:05 am on Nov 24, 2002 (gmt 0)

#### Senior Member

joined:Sept 16, 2001
posts:2059

CIML is right, i have no idea what i was thinking when i wrote that, must have been thinking of something commpletly different.