> By Abdelhamid Salah Brahim, Bénédicte Le Grand and Matthieu Latapy
In the paper Ten Weeks in the Life of an eDonkey Server we present the capture of exchanges between a large eDonkey server and its clients during ten weeks in continuous, leading to the observation of approximately 80 million distinct clients and 275 million distinct exchanged files.
Each client may provide a number of files to some other clients. More precisely, any client C provides any file F to a number n of other clients, where n may be zero. The plot above displays the distribution of the non-zero values of n. In other words, for each value n on the horizontal axis, we plotted the number of clients which provide a file n times.
It appears clearly that this distribution is very heterogeneous, close to a power-law distribution (a straight line in log-log scale). There are 4 orders of magnitude between the minimal and maximal values, with a huge number of clients providing a file to only another one but some clients providing a file up to more than 10,000 other clients.
Notice however that the distribution is not a power-law: it is not a straight line in log-log scale. This may indicate that, although it is very heterogeneous, there is a natural limit to the number of other clients to which one may provide a file. This may be a consequence of the limited duration of our measurement.