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» Hyperbolic Geometry of Complex Networks
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CORR
2010
Springer
178views Education» more  CORR 2010»
13 years 5 months ago
Hyperbolic Geometry of Complex Networks
Dmitri V. Krioukov, Fragkiskos Papadopoulos, Maksi...
INFOCOM
2010
IEEE
13 years 3 months ago
Greedy Forwarding in Dynamic Scale-Free Networks Embedded in Hyperbolic Metric Spaces
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&...
EM
2010
155views Management» more  EM 2010»
13 years 4 months ago
Hyperbolic Graphs of Small Complexity
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...
PKDD
2001
Springer
120views Data Mining» more  PKDD 2001»
13 years 9 months ago
Text Categorization and Semantic Browsing with Self-Organizing Maps on Non-euclidean Spaces
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...
Jörg Ontrup, Helge Ritter
CORR
2010
Springer
118views Education» more  CORR 2010»
13 years 5 months ago
Asymptotic Traffic Flow in an Hyperbolic Network II: Non-uniform Traffic
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...
Yuliy Baryshnikov, Gabriel H. Tucci