Fig. 10
From: Ego-zones: non-symmetric dependencies reveal network groups with large and dense overlaps
Embeddedness and prominency in generated networks. The average embeddedness in relation to the size of the zone is shown in the upper row of plots. In the ER networks, there are only very small zones (up to ten nodes), with the average zone embeddedness increasing with the size of the zone and the maximum being around 0.4. A similar behavior is seen in the BA network with the modularity of 0.380, where the maximum average zone embeddedness is only around 0.2. The TC networks show a growing trend of the average embeddedness value up to the zone size being around 10 nodes; then the trend is rather reversed. However, the zone embeddedness value is higher than for the ER and BA networks, which is also associated with high modularity (see Table 6). At its peak, the average value of the zone embeddedness exceeds 0.5 or 0.6 for networks with the parameters 0.7 3 or 0.97 3 and with the modularity of 0.675 or 0.899. The occurrence of nodes with a given prominency in generated networks is shown in the lower row of cumulative distributions. In ER and BA networks, which are weakly dependent, nodes with a prominency value of 0 prevail, and most or all of the other nodes have a value of 1. It is different in TC networks, which have a larger number of weakly-prominent nodes with a prominency value between 0 and 1