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. 2011 Feb 28;6(2):e17333. doi: 10.1371/journal.pone.0017333

Figure 5. The stochastic model representing the semantic space.

Figure 5

Results for the simulation of the stochastic model representing the semantic space. This is a simulation of a toy-model for an encyclopedia of Inline graphic pages with size Inline graphic log-normally distributed, with first moment Inline graphic and second moment Inline graphic. The parameter of the model are Inline graphic, Inline graphic and Inline graphic. In the top panels the out-degree distribution Inline graphic (left panel) and the in-degree distribution Inline graphic (right panel) of the semantic network at the percolation threshold are shown. The corresponding cumulative distributions Inline graphic are displayed in the insets. In the bottom left panel we show the cluster size distribution Inline graphic at the percolation threshold, the relative cumulative distribution Inline graphic is displayed in the inset. In the right bottom panel we show the frequency-rank distribution Inline graphic for the words in the model.