Figure 1: Four networks, each with around 15k nodes and 50k edges. The Erdös-Renyi graph (left) generated by a standard graphon does not have any high degree nodes. The Lp graphon graph (middle left) has a few high degree nodes expressed by the flat degree distribution tail. The graphex (middle right) and real subsampled Flickr network (right) show a very similar degree distribution with rather broad tails and a core-periphery like structure.