Complex quantum network geometries: Evolution and phase transitions

Topological data analysis of contagion maps for examining spreading processes on networks

(2015) Dane Taylor et al.   Nature Communications

Emergent Complex Network Geometry

(2015) Zhihao Wu et al.   Scientific Reports

Homological scaffolds of brain functional networks

(2014) G. Petri et al.   Journal of the Royal Society Interface

Quantum energetic causal sets

(2014) Marina Cortês et al.   PHYSICAL REVIEW D

The universe as a process of unique events

(2014) Marina Cortês et al.   PHYSICAL REVIEW D

Topological implications of negative curvature for biological and social networks

(2014) Réka Albert et al.   PHYSICAL REVIEW E

Community Detection in Quantum Complex Networks

(2014) Mauro Faccin et al.   Physical Review X

Ricci curvature and eigenvalue estimate on locally finite graphs

(2013) Yong Lin et al.   MATHEMATICAL RESEARCH LETTERS

Ollivier–Ricci curvature and the spectrum of the normalized graph Laplace operator

(2013) Frank Bauer et al.   MATHEMATICAL RESEARCH LETTERS

Phase transition of light on complex quantum networks

(2013) Arda Halu et al.   PHYSICAL REVIEW E

Topological Strata of Weighted Complex Networks

(2013) Giovanni Petri et al.   PLoS One

Degree Distribution in Quantum Walks on Complex Networks

(2013) Mauro Faccin et al.   Physical Review X

Phase diagram of the Bose-Hubbard model on complex networks

(2012) Arda Halu et al.   EPL

Popularity versus similarity in growing networks

(2012) Fragkiskos Papadopoulos et al.   NATURE

Bipartite quantum states and random complex networks

(2012) Silvano Garnerone et al.   NEW JOURNAL OF PHYSICS

Graph characterizations from von Neumann entropy

(2012) Lin Han et al.   PATTERN RECOGNITION LETTERS

Superconductor-insulator transition on annealed complex networks

(2012) Ginestra Bianconi   PHYSICAL REVIEW E

Exploring complex networks via topological embedding on surfaces

(2012) Tomaso Aste et al.   PHYSICAL REVIEW E

Adiabatic Quantum Algorithm for Search Engine Ranking

(2012) Silvano Garnerone et al.   PHYSICAL REVIEW LETTERS

Ricci curvature of graphs

(2012) Yong Lin et al.   TOHOKU MATHEMATICAL JOURNAL

Quantum Navigation and Ranking in Complex Networks

(2012) Eduardo Sánchez-Burillo et al.   Scientific Reports

Network Cosmology

(2012) Dmitri Krioukov et al.   Scientific Reports

Curvature, Geometry and Spectral Properties of Planar Graphs

(2011) Matthias Keller   DISCRETE & COMPUTATIONAL GEOMETRY

Topology of Random 2-Complexes

(2011) D. Cohen et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Large-scale curvature of networks

(2011) Onuttom Narayan et al.   PHYSICAL REVIEW E

Entropy rate of nonequilibrium growing networks

(2011) Kun Zhao et al.   PHYSICAL REVIEW E

Shannon and von Neumann entropy of random networks with heterogeneous expected degree

(2011) Kartik Anand et al.   PHYSICAL REVIEW E

Continuous-time quantum walks: Models for coherent transport on complex networks

(2011) Oliver Mülken et al.   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS

Cheeger constants, growth and spectrum of locally tessellating planar graphs

(2010) Matthias Keller et al.   MATHEMATISCHE ZEITSCHRIFT

Quantum random networks

(2010) S. Perseguers et al.   Nature Physics

Quantum Bose-Hubbard model with an evolving graph as a toy model for emergent spacetime

(2010) Alioscia Hamma et al.   PHYSICAL REVIEW D

Hyperbolic geometry of complex networks

(2010) Dmitri Krioukov et al.   PHYSICAL REVIEW E

Sustaining the Internet with hyperbolic mapping

(2010) Marián Boguñá et al.   Nature Communications

Generalized Bose-Fermi Statistics and Structural Correlations in Weighted Networks

(2009) Diego Garlaschelli et al.   PHYSICAL REVIEW LETTERS

Community detection in graphs

(2009) Santo Fortunato   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS

Ricci curvature of Markov chains on metric spaces

(2008) Yann Ollivier   JOURNAL OF FUNCTIONAL ANALYSIS

Fast unfolding of communities in large networks

(2008) Vincent D Blondel et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Navigability of complex networks

(2008) Marián Boguñá et al.   Nature Physics

Dephasing-assisted transport: quantum networks and biomolecules

(2008) M B Plenio et al.   NEW JOURNAL OF PHYSICS

Quantum graphity: A model of emergent locality

(2008) Tomasz Konopka et al.   PHYSICAL REVIEW D