Fig. 1
From: Ego-zones: non-symmetric dependencies reveal network groups with large and dense overlaps
Dependency and zones in unweighted network. The network presented here is undirected and unweighted. However, the arrows in this network express the direction of the dependency in a case when D(x,y)≥0.5 (informally, a strong dependency). The values of these dependencies are displayed on the edges. It can be seen that all the green nodes are strongly dependent either on node 4 or node 7 or both of them (for nodes 5 and 6). Moreover, the pairs of nodes 5, 6, and 8, 9 are mutually strongly dependent. Nodes 4 and 7 are specific (independent); they are not strongly dependent on any other node and have only weaker mutual dependencies (0.33 and 0.4). On the basis of the explanation in the “Ego-zones” section, the two largest detected zones in the network are displayed, the green zone with ego 4 and the yellow with ego 7. Their overlap with four nodes is a multi-ego zone with egos 5 and 6. Nodes 4 and 7, thanks to their independency on other nodes, induce this overlap. Moreover, nodes 5 and 6 belong to the overlap because of their strong dependency on both of these independent nodes. It can be noticed that the overlap is a clique and is denser than both overlapping zones. A total of seven zones were detected in this network. In addition to the three already mentioned, these are zones [1 4], [2 4], [3 4] with egos 1, 2, and 3, and one multi-ego zone [8 9 7] with egos 8 and 9