Title
Efficient Navigation in Scale-Free Networks Embedded in Hyperbolic Metric Spaces
Abstract
In this work we show that: i) the roughly hierarchical structure of complex networks is congruent with negatively curved geometries hidden beneath the observed topologies; ii) the most straightforward mapping of nodes to spaces of negative curvature naturally leads to the emergence of scale-free topologies; and iii) greedy routing on this embedding is efficient for these topologies, achieving both 100% reachability and optimal path lengths, even under dynamic network conditions. The critical important question left by this work is whether the topologies of real networks can be mapped into appropriate hidden hyperbolic metric spaces.
Year
Venue
Keywords
2008
Clinical Orthopaedics and Related Research
scale free,scale free network,complex network
Field
DocType
Volume
Dynamic network analysis,Topology,Embedding,Network topology,Reachability,Scale-free network,Complex network,Metric space,Congruence (geometry),Mathematics
Journal
abs/0805.1
Citations 
PageRank 
References 
6
1.10
27
Authors
4
Name
Order
Citations
PageRank
Dmitri Krioukov1113890.70
Fragkiskos Papadopoulos235222.97
Marián Boguñá354335.14
Amin Vahdat410369842.39