We explore the geometry of complex networks in terms of an n-dimensional Euclidean embedding represented by the Moore–Penrose pseudo-inverse of the graph Laplacian (L+). The squared distance of a node i to the origin in this n-dimensional space (lii+), yields a topological centrality index,...

Although IPv6 has been the next generation Internet protocol for nearly 15 years, new evidences indicate that transitioning from IPv4 to IPv6 is about to become a more pressing issue. This paper attempts to quantify if and how such a transition may unfold. The focus is on ``connectivity...