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Fig. 2 | Applied Network Science

Fig. 2

From: Ego-zones: non-symmetric dependencies reveal network groups with large and dense overlaps

Fig. 2

Karate Club. Transformed unweighted directed network (a), and network with strongly-prominent nodes marked in red and weakly-prominent nodes in yellow (b). For the isolated node 28 in sub-figure a it is true that it is not dependent on any other node and at the same time, no other node in the network is dependent on it. Node 10 is dependent on nodes 3 and 34. Most nodes are dependent on nodes 1 or 34. There are nodes 32,6,7,14,28 with different prominency (see Definition 5), but a comparable degree. Node 32 is strongly-prominent (OwIndep=3, TwDep=0, OwDep=0, Prominency=1, Degree=6). Nodes 6 and 7 are weakly-prominent (OwIndep=2, TwDep=1, OwDep=1, Prominency=0.667, Degree=4) because of their dependency on each other and on node 1. Nodes 14 or 28 are non-prominent (OwIndep=0, TwDep=0, OwDep=4 or 0, resp., Prominency=0, Degree=5 or 4, resp.) because no other nodes are dependent on them. As explained in Fig. 7 in “Ego-zones” section, sub-figure b displays one multi-ego zone (green) with egos 6 and 7, and one group of nodes (yellow) representing two alternative zones with egos 9 or 31, respectively

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