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Network Geometry

M. Ángeles Serrano and Marián Boguñá

Geometry appears as the most plausible explanation of the complex architecture we observe in real networks. Scale-free degree distributions, clustering, small-world property, communities, reciprocity and many more topological properties can be explained by the existence of a metric space controlling the network interactions.



Relevant references

The geometric nature of weights in real complex networks

Antoine Allard, M. Ángeles Serrano, Guillermo García-Pérez and Marián Boguñá
Nature Communications (2017)

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Hidden geometric correlations in real multiplex networks

Kaj-Kolja Kleineberg, Marián Boguñá, M. Ángeles Serrano & Fragkiskos Papadopoulos
Nature Physics (2016)

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Emergence of Soft Communities from Geometric Preferential Attachment

Konstantin Zuev, Marian Boguña, Ginestra Bianconi, Dmitri Krioukov,
Scientific Reports (2015)

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Percolation in Self-Similar Networks

M. Angeles Serrano, Dmitri Krioukov, Marian Boguña,
PHYSICAL REVIEW LETTERS (2011)

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Hyperbolic geometry of complex networks

Dmitri Krioukov, Fragkiskos Papadopoulos, Maksim Kitsak, Amin Vahdat, Marian Boguña,
PHYSICAL REVIEW E (2010)

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Greedy Forwarding in Dynamic Scale-Free Networks Embedded in Hyperbolic Metric Spaces

Fragkiskos Papadopoulos, Dmitri Krioukov, Marián Boguñá, and Amin Vahdat
IEEE INFOCOM, San Diego, CA, March 2010 (2010)

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Curvature and temperature of complex networks

Krioukov, Fragkiskos Papadopoulos, Amin Vahdat, Marian Boguña,
PHYSICAL REVIEW E (2009)

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Greedy Forwarding in Scale-Free Networks Embedded in Hyperbolic Metric Spaces

Dmitri Krioukov, Fragkiskos Papadopoulos, Marián Boguñá, and Amin Vahdat
ACM SIGMETRICS Performance Evaluation Review (2009)

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Self-similarity of complex networks and hidden metric spaces

M. Angeles Serrano, Dmitri Krioukov, Marian Boguña,
PHYSICAL REVIEW LETTERS (2008)

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Geometric correlations in real multiplex networks

Kaj-Kolja Kleineberg, Marian Boguna, M. Angeles Serrano, Fragkiskos Papadopoulos
arXiv:1601.04071

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