In Fig. 4, it is shown that clustering emerges, in this case in 3 clusters that in the end each are fully connected by connection weights 1, and the connection weights between states from different clusters have become practically 0. That such patterns always occur will be analysed further in the "Mathematical analysis for the homophily principle" section.
Our analyses revealed that, in French forests, 48 tree taxa (all but 5 identified to species level) and 154 fungal species were fully connected by host/parasite interactions.
After this step, we are left with a reduced graph of C-nodes that are fully connected by OR-edges (k-OR graph if there are k C-nodes).
The four proteins are fully connected by six literature co-occurrences with strong co-complexness, and six functional associations with strong or moderate co-complexness.
These proteins are fully connected by six PPIs with strong co-complexness, while five functional associations with strong to moderate co-complexness and five literature co-occurrences with strong to weak co-complexness also connect the proteins.
Moreover, in both the motifs, the remaining three cell types are fully connected by edges, indicating similar behaviour of the relative levels of expression/translation of the genes included in the motif.
The citation network was found to be fully connected, so the clustering algorithm proposed by Girvan and Newman [13] was used to analyse its structure.
The network is assumed to be fully connected.
The weighted similarity graph can be fully connected graph or t-nearest neighbor graph.
The nodes of the neural network are fully connected, where each connection is parameterized by a real-valued weight θ.
