An Asymmetric Popularity-Similarity Optimization Method for Embedding Directed Networks into Hyperbolic Space

Figure 4

The embedding results of international trade networks. (a, b) The visualization of the international trade network on the Poincaré disk. To facilitate the display of the position of the nodes, we highlight the origin nodes and end nodes. (a) Origin nodes are highlighted, and yellow nodes on the edge are end nodes so that the popularity and similarity of origin nodes in the disc are visible. (b) The end nodes are highlighted. (c) The ranking evolution over time of the centrality of major countries as measured by the distance from the center of disc. (d) The curve denotes the fraction of nodes vs. the fraction of links . and represent the number of nodes and links in backbone networks. The pink dot represents the appropriate threshold in the extracting process.

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