Fig. 4: Two-dimensional embeddings of the network of political blogs.
From: Model-independent embedding of directed networks into Euclidean and hyperbolic spaces
The coordinates obtained for the source and the target representations of the nodes are displayed in separate planes for better visibility. Thus, the links always point from a node on the “source plane” to a node on the “target plane”. The node colours indicate the political leaning of the corresponding weblog. Larger node sizes in the “source plane” and in the “target plane” correspond to larger out- and in-degrees, respectively. Panels a–c correspond to embeddings based on Katz proximity, while our exponential proximity was used in the case of panels d–f. Panels a and d show the non-circular Euclidean embeddings created by HOPE and TREXPEN, respectively. Panels b and e depict the circular Euclidean layouts yielded by the HOPE-R and the TREXPEN-R variants, while panels c and f present the hyperbolic embeddings obtained from these using our Euclidean-hyperbolic conversion method MIC.
