Scaling in the structure of directory trees in a computer cluster

Klemm, Konstantin; Eguíluz, Víctor M.; San Miguel, Maxi
Physical Review Letters 95, 128701(1-4) (2005)

We describe the topological structure and the underlying organization principles of the directories created by users of a computer cluster when storing his/her own files. We analyze degree distributions, average distance between files, distribution of communities and allometric scaling exponents of the directory trees. We find that users create trees with a broad, scale-free degree distribution. The structure of the directories is well captured by a growth model with a single parameter. The degree distribution of the different trees has a non-universal exponent associated with different values of the parameter of the model. However, the distribution of community sizes has a universal exponent analytically obtained from our model.

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