Kuki-jaKov coefficient for the interconnectivity of the blogosphere

03.06.2006Osebno

Blogs link to other blogs and are in return linked by other blogs. I devised a coefficient which enables you to measure just how well a certain blogosphere is interconnected.

For the technical part of the theory, all credits go to jaKa and his perl-based script.

As you can see in the blog stats, every blog (B) is represented by two numbers. The first number (Bin) is the number of blogs that link to it and the second number (Bout) is the number of blogs that are linked by the original blog (B).

Here`s how you calculate the coefficient.

First you normalize both of strings.

Second you add all the Bnormal-in and Bnormal-out together.

Third, you divide the sum of Bnormal-out with the sum of Bnormal-in

The equation would be something like this:

Bnormal=Bn / Bmax

K-j = | Bnormal-out / Bnormal-in |

Result will tell you:

If the K-j > 1 that means that the blogosphere you were analysing features blogs that link more on the outside that they are getting linked back. This means that the blogosphere is not interconnected at all, but features sites that are linking to other sites. This also causes the 2% master-blogs effect (in slovene blogosphere, the 2% master-blogs feature Jonas and Carniola)

If the K-j = 1 that means that the blogosphere you were analysing features blogs that link to other blogs in exactly the same number as the other blogs link back. This features a very thoroughly interconnected blogosphere, however, one must take the “I link you, you link me back” phenomenon which distorts the result a little as blogs are obligated to link others blogs.

If the K-j < 1 that means that the blogosphere you were analysing features blogs that are linked more from the outside. This means that the prevailing portion of the blogs the ones that everybody link, yet they don`t link back. Which means that there is no blogosphere, only a few master-blogs.

The coefficient for the slovene blogosphere is 1.3, which means that a person usually has to link 2 blogs to get a link in return. It also coincides with the theory of master-blogs that everybody link, yet they get nothing in return.

Now kill me.