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There are a clear tendency towards the use of social Web applications (eg. Twitter, Google Reader, Waze, Facebook, etc). The analysis of the flow of information in these applications is interesting nowadays, however, this analysis is complex. Whereas the analysis of the flow of information is commonly realized by dynamic graphs, an alternative way is the use of the vector clock algorithm¹⁾.

The analysis of popularity is novel topic in Twitter ²⁾

http://www.techradar.com/news/internet/twitter-analytics-chart-your-popularity-soon-909255

For example, consider the analysis of the popularity of a piece of news, which is measured as the number of republications of this news, in a social Web application like Twitter. A basic scenario of this example is the following:

Four users (Paul, Mike, Peter, and Kuky) are connected, which means that they receive news each other. Paul publishes the news “There is a new version of OTM.” and other three users received this news. If Mike and Kuky republish this news, then the popularity of this news is two. Instead, if nobody republishes this news, the popularity of this news is zero.

The following Web page shows four instantiations of a toy social Web application ³⁾. If a user writes his name, this user is able to publish news and republish news received.

NOTE: This example is incomplete!

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The following causal sequence used to measure the popularity of a piece of news:

var popularity = .... 

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