In this paper we show that complex (scale-free) network topologies naturally emerge from hyperbolic metric spaces. The hyperbolic geometry can be used to facilitate maximally efï¬...
Fragkiskos Papadopoulos, Dmitri V. Krioukov, Mari&...
In this paper we enumerate and classify the "simplest" pairs (M, G) where M is a closed orientable 3-manifold and G is a trivalent graph embedded in M. To enumerate the p...
Damian Heard, Craig Hodgson, Bruno Martelli, Carlo...
This paper introduces a new type of Self-Organizing Map (SOM) for Text Categorization and Semantic Browsing. We propose a “hyperbolic SOM†(HSOM) based on a regular tesselation...
In this work we study the asymptotic traffic behaviour in Gromov's hyperbolic spaces when the traffic decays exponentially with the distance. We prove that under general condi...