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references.bib
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@article{alanis-lobato2016distance,
author = {{Alanis-Lobato}, Gregorio and {Andrade-Navarro}, Miguel A.},
doi = {10.25088/ComplexSystems.25.3.223},
journal = {Complex Systems},
keywords = {hyperbolic_geometry,network_geometry},
pages = {223--236},
title = {Distance {{Distribution}} between {{Complex Network Nodes}} in {{Hyperbolic Space}}},
volume = {25},
year = {2016}
}
@article{alanis-lobato2016efficient,
author = {{Alanis-Lobato}, G. and Mier, P. and {Andrade-Navarro}, M. A.},
doi = {10.1038/srep30108},
journal = {Sci. Rep.},
keywords = {embedding_algorithm,network_geometry},
pages = {30108},
title = {Efficient embedding of complex networks to hyperbolic space via their {{Laplacian}}},
volume = {6},
year = {2016}
}
@article{alanis-lobato2016manifold,
author = {{Alanis-Lobato}, G. and Mier, P. and {Andrade-Navarro}, M. A.},
doi = {10.1007/s41109-016-0013-0},
journal = {Appl. Netw. Sci.},
keywords = {embedding_algorithm,network_geometry},
pages = {10},
title = {Manifold learning and maximum likelihood estimation for hyperbolic network embedding},
volume = {1},
year = {2016}
}
@article{alanis-lobato2018latent,
author = {{Alanis-Lobato}, G. and Mier, P. and {Andrade-Navarro}, M. A.},
doi = {10.1093/bioinformatics/bty206},
journal = {Bioinformatics},
keywords = {hidden_metric_space,network_geometry,real_networks},
pages = {2826--2834},
title = {The latent geometry of the human protein interaction network},
volume = {34},
year = {2018}
}
@article{aldecoa2015hyperbolic,
author = {Aldecoa, R. and Orsini, C. and Krioukov, D.},
doi = {10.1016/J.CPC.2015.05.028},
journal = {Comput. Phys. Commun.},
keywords = {algorithms,network_geometry},
pages = {492--496},
title = {Hyperbolic graph generator},
volume = {196},
year = {2015}
}
@article{alemany-puig2020reappraising,
author = {{Alemany-Puig}, L. and Mora, M. and {Ferrer-i-Cancho}, R.},
doi = {10.1088/1742-5468/aba0ab},
journal = {J. Stat. Mech.},
keywords = {network_geometry},
pages = {083401},
title = {Reappraising the distribution of the number of edge crossings of graphs on a sphere},
volume = {2020},
year = {2020}
}
@article{allard2017geometric,
author = {Allard, A. and Serrano, M. {\'A}. and {Garc{\'i}a-P{\'e}rez}, G. and Bogu{\~n}{\'a}, M.},
doi = {10.1038/ncomms14103},
journal = {Nat. Commun.},
keywords = {bibl_directedS1,metric_graphs,network_geometry,weighted_graphs},
pages = {14103},
title = {The geometric nature of weights in real complex networks},
volume = {8},
year = {2017}
}
@article{allard2020navigable,
author = {Allard, A. and Serrano, M. {\'A}.},
doi = {10.1371/journal.pcbi.1007584},
journal = {PLOS Comput. Biol.},
keywords = {connectome,navigation,network_geometry,neurosciences,real_networks},
pages = {e1007584},
title = {Navigable maps of structural brain networks across species},
volume = {16},
year = {2020}
}
@article{almagro2021detecting,
archiveprefix = {arXiv},
author = {Almagro, Pedro and Boguna, Marian and Serrano, M. Angeles},
eprint = {2110.14507},
eprinttype = {arxiv},
keywords = {network_geometry,S1H2_models},
title = {Detecting the ultra low dimensionality of real networks},
url = {http://arxiv.org/abs/2110.14507},
year = {2021}
}
@article{aste2005complex,
author = {Aste, T. and Di Matteo, T. and Hyde, S. T.},
doi = {10.1016/j.physa.2004.08.045},
journal = {Physica A},
keywords = {hyperbolic_embedding,hyperbolic_geometry,network_geometry},
pages = {20--26},
title = {Complex networks on hyperbolic surfaces},
volume = {346},
year = {2005}
}
@article{avrachenkov2020cliques,
author = {Avrachenkov, Konstantin E. and Bobu, Andrei V.},
doi = {10.1007/s41109-020-00335-6},
journal = {Appl. Netw. Sci.},
keywords = {network_geometry},
pages = {92},
title = {Cliques in high-dimensional random geometric graphs},
volume = {5},
year = {2020}
}
@article{benjamini2001percolation,
author = {Benjamini, I. and Schramm, O.},
doi = {10.1090/S0894-0347-00-00362-3},
journal = {Journal of the American Mathematical Society},
keywords = {maitrise_olivier,network_geometry,percolation},
pages = {487--507},
title = {Percolation in the hyperbolic plane},
volume = {14},
year = {2001}
}
@article{bertagnolli2021diffusion,
author = {Bertagnolli, G. and De Domenico, M.},
doi = {10.1103/PhysRevE.103.042301},
journal = {Phys. Rev. E},
keywords = {geometry_of_real_networks,multiplex_graphs,network_geometry},
pages = {042301},
title = {Diffusion geometry of multiplex and interdependent systems},
volume = {103},
year = {2021}
}
@article{bianconi2017emergent,
author = {Bianconi, G. and Rahmede, C.},
doi = {10.1038/srep41974},
journal = {Sci. Rep.},
keywords = {bibl_simplagion,hidden_metric_space,network_geometry},
pages = {41974},
title = {Emergent {{Hyperbolic Network Geometry}}},
volume = {7},
year = {2017}
}
@article{bianconi2018topological,
author = {Bianconi, G. and Ziff, R. M.},
doi = {10.1103/PhysRevE.98.052308},
journal = {Phys. Rev. E},
keywords = {hyperbolic_geometry,network_geometry,percolation,simplical_complexes},
pages = {052308},
title = {Topological percolation on hyperbolic simplicial complexes},
volume = {98},
year = {2018}
}
@article{bianconi2019percolation,
author = {Bianconi, G. and Kryven, I. and Ziff, R. M.},
doi = {10.1103/PhysRevE.100.062311},
journal = {Phys. Rev. E},
keywords = {network_geometry,percolation},
pages = {062311},
title = {Percolation on branching simplicial and cell complexes and its relation to interdependent percolation},
volume = {100},
year = {2019}
}
@inproceedings{blasius2016efficient,
author = {Bl{\"a}sius, Thomas and Friedrich, Tobias and Krohmer, Anton and Laue, S{\"o}ren},
booktitle = {24th annual european symposium on algorithms ({{ESA}} 2016)},
doi = {10.4230/LIPIcs.ESA.2016.16},
keywords = {embedding_algorithm,network_geometry},
pages = {16:1--16:18},
title = {Efficient embedding of scale-free graphs in the hyperbolic plane},
volume = {57},
year = {2016}
}
@article{blasius2018efficient,
author = {Blasius, T. and Friedrich, T. and Krohmer, A. and Laue, S.},
doi = {10.1109/TNET.2018.2810186},
journal = {IEEE/ACM Trans. Netw.},
keywords = {embedding_algorithm,network_geometry},
pages = {920--933},
title = {Efficient {{Embedding}} of {{Scale-Free Graphs}} in the {{Hyperbolic Plane}}},
volume = {26},
year = {2018}
}
@inproceedings{blasius2018efficientc,
author = {Bl{\"a}sius, Thomas and Freiberger, Cedric and Friedrich, Tobias and Katzmann, Maximilian and {Montenegro-Retana}, Felix and Thieffry, Marianne},
booktitle = {45th international colloquium on automata, languages, and programming ({{ICALP}} 2018)},
doi = {10.4230/LIPIcs.ICALP.2018.20},
keywords = {navigability,network_geometry},
pages = {20:1--20:14},
title = {Efficient shortest paths in scale-free networks with underlying hyperbolic geometry},
volume = {107},
year = {2018}
}
@incollection{blasius2018hyperbolic,
author = {Bl{\"a}sius, Thomas and Friedrich, Tobias and Katzmann, Maximilian and Krohmer, Anton},
booktitle = {2018 proceedings of the meeting on algorithm engineering and experiments ({{ALENEX}})},
doi = {10.1137/1.9781611975055.17},
keywords = {network_geometry},
pages = {199--208},
title = {Hyperbolic embeddings for near-optimal greedy routing},
year = {2018}
}
@inproceedings{blasius2019efficiently,
author = {Bl{\"a}sius, Thomas and Friedrich, Tobias and Katzmann, Maximilian and Meyer, Ulrich and Penschuck, Manuel and Weyand, Christopher},
booktitle = {27th annual european symposium on algorithms ({{ESA}} 2019)},
doi = {10.4230/LIPIcs.ESA.2019.21},
keywords = {generation_algorithm,network_geometry},
pages = {21:1--21:14},
title = {Efficiently generating geometric inhomogeneous and hyperbolic random graphs},
volume = {144},
year = {2019}
}
@article{blasius2020hyperbolic,
author = {Bl{\"a}sius, Thomas and Friedrich, Tobias and Katzmann, Maximilian and Krohmer, Anton},
doi = {10.1145/3381751},
journal = {J. Exp. Algorithmics},
keywords = {embedding_algorithm,navigability,network_geometry},
pages = {1.3},
title = {Hyperbolic {{Embeddings}} for {{Near-Optimal Greedy Routing}}},
volume = {25},
year = {2020}
}
@inproceedings{blasius2020minimization,
author = {Bl{\"a}sius, Thomas and Friedrich, Tobias and Schirneck, Martin},
booktitle = {28th annual european symposium on algorithms ({{ESA}} 2020)},
doi = {10.4230/LIPIcs.ESA.2020.21},
keywords = {network_geometry},
pages = {21:1--21:15},
title = {The minimization of random hypergraphs},
volume = {173},
year = {2020}
}
@inproceedings{blasius2021forcedirected,
author = {Bl{\"a}sius, Thomas and Friedrich, Tobias and Katzmann, Maximilian},
booktitle = {19th international symposium on experimental algorithms ({{SEA}} 2021)},
doi = {10.4230/LIPIcs.SEA.2021.22},
keywords = {embedding_algorithm,network_geometry},
pages = {22:1--22:18},
title = {Force-directed embedding of scale-free networks in the hyperbolic plane},
volume = {190},
year = {2021}
}
@article{bode2015largest,
author = {Bode, M. and Fountoulakis, N. and M{\"u}ller, T.},
doi = {10.37236/4958},
journal = {The Electronic Journal of Combinatorics},
keywords = {maitrise_olivier,network_geometry,percolation},
pages = {P3.24-P3.24},
title = {On the {{Largest Component}} of a {{Hyperbolic Model}} of {{Complex Networks}}},
year = {2015}
}
@article{boguna2009navigability,
author = {Bogu{\~n}{\'a}, M. and Krioukov, D. and Claffy, K. C.},
doi = {10.1038/nphys1130},
journal = {Nat. Phys.},
keywords = {greedy_routing,maitrise_olivier,navigability,network_embedding,network_geometry},
pages = {74--80},
title = {Navigability of complex networks},
volume = {5},
year = {2009}
}
@article{boguna2009navigating,
author = {Bogu{\~n}{\'a}, M. and Krioukov, D.},
doi = {10.1103/PhysRevLett.102.058701},
journal = {Phys. Rev. Lett.},
keywords = {greedy_routing,navigability,network_embedding,network_geometry},
pages = {058701},
title = {Navigating {{Ultrasmall Worlds}} in {{Ultrashort Time}}},
volume = {102},
year = {2009}
}
@article{boguna2010sustaining,
author = {Bogu{\~n}{\'a}, M. and Papadopoulos, F. and Krioukov, D.},
doi = {10.1038/ncomms1063},
journal = {Nat. Commun.},
keywords = {application_of_networks,embedding_algorithm,hidden_metric_space,Internet,maitrise_olivier,network_geometry,real_networks},
pages = {62},
title = {Sustaining the {{Internet}} with hyperbolic mapping.},
volume = {1},
year = {2010}
}
@article{boguna2014cosmological,
author = {Bogu{\~n}{\'a}, M. and Kitsak, M. and Krioukov, D.},
doi = {10.1088/1367-2630/16/9/093031},
journal = {New J. Phys.},
keywords = {cosmology,network_geometry},
pages = {093031},
title = {Cosmological networks},
volume = {16},
year = {2014}
}
@article{boguna2020network,
archiveprefix = {arXiv},
author = {Boguna, M. and Bonamassa, I. and De Domenico, M. and Havlin, S. and Krioukov, D. and Serrano, M. {\'A}.},
eprint = {2001.03241},
eprinttype = {arxiv},
keywords = {network_geometry},
title = {Network {{Geometry}}},
url = {http://arxiv.org/abs/2001.03241},
year = {2020}
}
@article{boguna2020small,
author = {Bogu{\~n}{\'a}, M. and Krioukov, D. and Almagro, P. and Serrano, M. {\'A}.},
doi = {10.1103/PhysRevResearch.2.023040},
journal = {Phys. Rev. Research},
keywords = {bibl_directedS1,network_geometry},
pages = {023040},
title = {Small worlds and clustering in spatial networks},
volume = {2},
year = {2020}
}
@article{boguna2021network,
author = {Bogu{\~n}{\'a}, M. and Bonamassa, I. and De Domenico, M. and Havlin, S. and Krioukov, D. and Serrano, M. {\'A}.},
doi = {10.1038/s42254-020-00264-4},
journal = {Nat. Rev. Phys.},
keywords = {bibl_directedS1,network_geometry,review_article},
pages = {114--135},
title = {Network geometry},
volume = {3},
year = {2021}
}
@incollection{borassi2015computing,
author = {Borassi, Michele and Coudert, David and Crescenzi, Pierluigi and Marino, Andrea},
booktitle = {Algorithms - {{ESA}} 2015},
doi = {10.1007/978-3-662-48350-3_19},
editor = {Bansal, Nikhil and Finocchi, Irene},
keywords = {network_geometry},
pages = {215--226},
publisher = {{Springer Berlin Heidelberg}},
title = {On {{Computing}} the {{Hyperbolicity}} of {{Real-World Graphs}}},
year = {2015}
}
@article{borassi2015hyperbolicity,
author = {Borassi, Michele and Chessa, Alessandro and Caldarelli, Guido},
doi = {10.1103/PhysRevE.92.032812},
journal = {Phys. Rev. E},
keywords = {network_geometry},
pages = {032812},
title = {Hyperbolicity measures democracy in real-world networks},
volume = {92},
year = {2015}
}
@article{bordenave2008eigenvalues,
author = {Bordenave, Charles},
doi = {10.1002/rsa.20228},
journal = {Random Struct. Algorithms},
keywords = {graph_spectra,maitrise_olivier,network_geometry},
pages = {515--532},
title = {Eigenvalues of {{Euclidean}} random matrices},
volume = {33},
year = {2008}
}
@article{bruno2019community,
archiveprefix = {arXiv},
author = {Bruno, Matteo and Sousa, Sandro Ferreira and Gursoy, Furkan and Serafino, Matteo and Vianello, Francesca V. and Vrani{\'c}, Ana and Bogu{\~n}{\'a}, Mari{\'a}n},
eprint = {1906.09082},
eprinttype = {arxiv},
keywords = {community_detection,community_structure,network_geometry},
title = {Community {{Detection}} in the {{Hyperbolic Space}}},
url = {http://arxiv.org/abs/1906.09082},
year = {2019}
}
@misc{bruno2019communitya,
abstract = {Embedding a network in hyperbolic space can reveal interesting features for the network structure, especially in terms of self-similar characteristics. The hidden metric space, which can be thought of as the underlying structure of the network, is able to preserve some interesting features generally observed in real-world networks such as heterogeneity in the degree distribution, high clustering coefficient, and small-world effect. Moreover, the angular distribution of the nodes in the hyperbolic plane reveals a community structure of the embedded network. It is worth noting that, while a large body of literature compares well-known community detection algorithms, there is still no consensus on what defines an ideal community partition on a network. Moreover, heuristics for communities found on networks embedded in the hyperbolic space have been investigated here for the first time. We compare the partitions found on embedded networks to the partitions obtained before the embedding step, both for a synthetic network and for two real-world networks. The second part of this paper presents the application of our pipeline to a network of retweets in the context of the Italian elections. Our results uncover a community structure reflective of the political spectrum, encouraging further research on the application of community detection heuristics to graphs mapped onto hyperbolic planes.},
archiveprefix = {arXiv},
author = {Bruno, Matteo and Sousa, Sandro Ferreira and Gursoy, Furkan and Serafino, Matteo and Vianello, Francesca V. and Vrani{\'c}, Ana and Bogu{\~n}{\'a}, Mari{\'a}n},
doi = {10.48550/arXiv.1906.09082},
eprint = {1906.09082},
eprinttype = {arxiv},
keywords = {network_geometry},
month = {June},
number = {arXiv:1906.09082},
primaryclass = {physics},
publisher = {{arXiv}},
title = {Community {{Detection}} in the {{Hyperbolic Space}}},
urldate = {2022-07-06},
year = {2019}
}
@article{cacciola2017coalescent,
archiveprefix = {arXiv},
author = {Cacciola, Alberto and Muscoloni, Alessandro and Narula, Vaibhav and Calamuneri, Alessandro and Nigro, Salvatore and Mayer, Emeran A. and Labus, Jennifer S. and Anastasi, Giuseppe and Quattrone, Aldo and Quartarone, Angelo and Milardi, Demetrio and Cannistraci, Carlo Vittorio},
eprint = {1705.04192},
eprinttype = {arxiv},
keywords = {embedding_algorithm,higher_dimensions,network_geometry,neurosciences},
title = {Coalescent embedding in the hyperbolic space unsupervisedly discloses the hidden geometry of the brain},
url = {http://arxiv.org/abs/1705.04192},
year = {2017}
}
@article{cacciola2019functional,
author = {Cacciola, Alberto and Naro, Antonino and Milardi, Demetrio and Bramanti, Alessia and Malatacca, Leonardo and Spitaleri, Maurizio and Leo, Antonino and Muscoloni, Alessandro and Cannistraci, Carlo Vittorio and Bramanti, Placido and Calabr{\`o}, Rocco Salvatore and Anastasi, Giuseppe Pio},
doi = {10.3390/jcm8030306},
journal = {Journal of Clinical Medicine},
keywords = {network_geometry,neurosciences,real_networks},
pages = {306},
title = {Functional {{Brain Network Topology Discriminates}} between {{Patients}} with {{Minimally Conscious State}} and {{Unresponsive Wakefulness Syndrome}}},
volume = {8},
year = {2019}
}
@incollection{candellero2014clustering,
author = {Candellero, E. and Fountoulakis, N.},
booktitle = {Algorithms and {{Models}} for the {{Web Graph}}},
doi = {10.1007/978-3-319-13123-8_1},
editor = {Bonato, A. and Graham, F. C. and Pra{\textbackslash}lat, P.},
keywords = {network_geometry},
pages = {1--12},
publisher = {{Springer International Publishing}},
title = {Clustering and the {{Hyperbolic Geometry}} of {{Complex Networks}}},
year = {2014}
}
@article{candellero2016bootstrap,
author = {Candellero, E. and Fountoulakis, N.},
doi = {10.1016/j.spa.2015.08.005},
journal = {Stochastic Processes and their Applications},
keywords = {maitrise_olivier,network_geometry,percolation},
pages = {234--264},
title = {Bootstrap percolation and the geometry of complex networks},
volume = {126},
year = {2016}
}
@article{candellero2016clustering,
author = {Candellero, E. and Fountoulakis, N.},
doi = {10.1080/15427951.2015.1067848},
journal = {Internet Mathematics},
keywords = {hyperbolic_geometry,network_geometry},
pages = {2--53},
title = {Clustering and the {{Hyperbolic Geometry}} of {{Complex Networks}}},
volume = {12},
year = {2016}
}
@article{cannistraci2020geometrical,
author = {Cannistraci, C. V. and Muscoloni, A.},
journal = {arXiv},
keywords = {network_geometry},
pages = {2005.13255},
title = {Geometrical congruence and efficient greedy navigability of complex networks},
url = {http://arxiv.org/abs/2005.13255},
year = {2020}
}
@article{carifio2018vacuum,
author = {Carifio, J. and Cunningham, W. J. and Halverson, J. and Krioukov, D. and Long, C. and Nelson, B. D.},
doi = {10.1103/PhysRevLett.121.101602},
journal = {Phys. Rev. Lett.},
keywords = {network_geometry},
pages = {101602},
title = {Vacuum {{Selection}} from {{Cosmology}} on {{Networks}} of {{String Geometries}}},
volume = {121},
year = {2018}
}
@article{chanpuriya2020node,
archiveprefix = {arXiv},
author = {Chanpuriya, Sudhanshu and Musco, Cameron and Sotiropoulos, Konstantinos and Tsourakakis, Charalampos E.},
eprint = {2006.05592},
eprinttype = {arxiv},
keywords = {network_geometry},
title = {Node {{Embeddings}} and {{Exact Low-Rank Representations}} of {{Complex Networks}}},
url = {http://arxiv.org/abs/2006.05592},
year = {2020}
}
@article{chellig2022modularity,
author = {Chellig, Jordan and Fountoulakis, Nikolaos and Skerman, Fiona},
doi = {10.1093/comnet/cnab051},
journal = {J. Complex Netw.},
keywords = {hyperbolic_embedding,network_geometry,S1H2_models},
pages = {cnab051},
title = {The modularity of random graphs on the hyperbolic plane},
volume = {10},
year = {2022}
}
@incollection{chen2012hyperbolicity,
author = {Chen, Wei and Fang, Wenjie and Hu, Guangda and Mahoney, Michael W.},
booktitle = {Algorithms and {{Computation}}},
doi = {10.1007/978-3-642-35261-4_31},
editor = {Hutchison, David and Kanade, Takeo and Kittler, Josef and Kleinberg, Jon M. and Mattern, Friedemann and Mitchell, John C. and Naor, Moni and Nierstrasz, Oscar and Pandu Rangan, C. and Steffen, Bernhard and Sudan, Madhu and Terzopoulos, Demetri and Tygar, Doug and Vardi, Moshe Y. and Weikum, Gerhard and Chao, Kun-Mao and Hsu, Tsan-sheng and Lee, Der-Tsai},
keywords = {network_geometry},
pages = {278--288},
publisher = {{Springer Berlin Heidelberg}},
title = {On the {{Hyperbolicity}} of {{Small-World}} and {{Tree-Like Random Graphs}}},
year = {2012}
}
@article{chen2021finitesize,
author = {Chen, Dan and Su, Housheng and Wang, Xiaofan and Pan, Gui-Jun and Chen, Guanrong},
doi = {10.1103/PhysRevE.104.034304},
journal = {Phys. Rev. E},
keywords = {network_geometry,S1H2_models},
pages = {034304},
title = {Finite-size scaling of geometric renormalization flows in complex networks},
volume = {104},
year = {2021}
}
@article{chien2019active,
archiveprefix = {arXiv},
author = {Chien, Eli and Tulino, Antonia Maria and Llorca, Jaime},
eprint = {1912.06570},
eprinttype = {arxiv},
keywords = {maitrise_beatrice,network_geometry},
title = {Active learning in the geometric block model},
url = {http://arxiv.org/abs/1912.06570},
year = {2019}
}
@article{cui2019survey,
author = {Cui, Peng and Wang, Xiao and Pei, Jian and Zhu, Wenwu},
doi = {10.1109/TKDE.2018.2849727},
journal = {IEEE Transactions on Knowledge and Data Engineering},
keywords = {network_geometry},
pages = {833--852},
title = {A {{Survey}} on {{Network Embedding}}},
volume = {31},
year = {2019}
}
@article{dall2002random,
author = {Dall, J. and Christensen, M.},
doi = {10.1103/PhysRevE.66.016121},
journal = {Phys. Rev. E},
keywords = {geometric_graphs,network_geometry},
pages = {016121},
title = {Random geometric graphs},
volume = {66},
year = {2002}
}
@article{danziger2020faster,
author = {Danziger, M. M. and Gross, B. and Buldyrev, S. V.},
doi = {10.1103/PhysRevE.101.013306},
journal = {Phys. Rev. E},
keywords = {network_geometry},
pages = {013306},
title = {Faster calculation of the percolation correlation length on spatial networks},
volume = {101},
year = {2020}
}
@article{dedomenico2017diffusion,
author = {De Domenico, M.},
doi = {10.1103/PhysRevLett.118.168301},
journal = {Phys. Rev. Lett.},
keywords = {network_geometry},
pages = {168301},
title = {Diffusion {{Geometry Unravels}} the {{Emergence}} of {{Functional Clusters}} in {{Collective Phenomena}}},
volume = {118},
year = {2017}
}
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author = {Dettmann, C. P. and Georgiou, O.},
doi = {10.1103/PhysRevE.93.032313},
journal = {Phys. Rev. E},
keywords = {geometric_graphs,network_geometry},
pages = {032313},
title = {Random geometric graphs with general connection functions},
volume = {93},
year = {2016}
}
@article{dettmann2017spectral,
author = {Dettmann, C. P. and Georgiou, O. and Knight, G.},
doi = {10.1209/0295-5075/118/18003},
journal = {EPL},
keywords = {graph_spectra,maitrise_olivier,network_geometry},
pages = {18003},
title = {Spectral statistics of random geometric graphs},
volume = {118},
year = {2017}
}
@article{eppstein2011succinct,
author = {Eppstein, D. and Goodrich, M. T.},
doi = {10.1109/TC.2010.257},
journal = {IEEE Trans. Comput.},
keywords = {hyperbolic_plane,metric_graphs,navigability,network_geometry},
pages = {1571--1580},
title = {Succinct {{Greedy Geometric Routing Using Hyperbolic Geometry}}},
volume = {60},
year = {2011}
}
@techreport{fang2011hyperbolic,
abstract = {Various real world phenomena can be modeled by a notion called complex network. Much effort has been devoted into understanding and manipulating this notion. Recent research hints that complex networks have an underlying hyperbolic geometry that gives them navigability, a highly desirable property observed in many complex networks. In this internship, a parameter called {$\delta$}-hyperbolicity, which is related to the underlying hyperbolic geometry of a graph, is studied in contrast of navigability. Graph-theorectical and computational properties of {$\delta$}-hyperbolicity are studied and used to investigate {$\delta$}-hyperbolicity of several network models. A seemingly gap between {$\delta$}-hyperbolicity and navigability is found.},
author = {Fang, Wenjie},
institution = {{Microsoft Research Asia}},
keywords = {network_geometry},
title = {On {{Hyperbolic Geometry Structure}} of {{Complex Networks}}},
type = {Technical {{Report}}},
url = {https://www.math.tugraz.at/~fang/works/report-msra.pdf},
year = {2011}
}
@article{faqeeh2018characterizing,
author = {Faqeeh, A. and Osat, S. and Radicchi, F.},
doi = {10.1103/PhysRevLett.121.098301},
journal = {Phys. Rev. Lett.},
keywords = {community_structure,hidden_metric_space,hyperbolic,hyperbolic_embedding,network_geometry},
pages = {098301},
title = {Characterizing the {{Analogy Between Hyperbolic Embedding}} and {{Community Structure}} of {{Complex Networks}}},
volume = {121},
year = {2018}
}
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archiveprefix = {arXiv},
author = {Fountoulakis, Nikolaos},
eprint = {1205.2923},
eprinttype = {arxiv},
keywords = {network_geometry},
title = {On the evolution of random graphs on spaces of negative curvature},
url = {http://arxiv.org/abs/1205.2923},
year = {2012}
}
@article{fountoulakis2018law,
author = {Fountoulakis, N. and M{\"u}ller, T.},
doi = {10.1214/17-AAP1314},
journal = {Annals of Applied Probability},
keywords = {maitrise_olivier,network_geometry,percolation},
pages = {607--650},
title = {Law of large numbers for the largest component in a hyperbolic model of complex networks},
volume = {28},
year = {2018}
}
@incollection{friedrich2015diameter,
author = {Friedrich, T. and Krohmer, A.},
booktitle = {Automata, {{Languages}}, and {{Programming}}},
doi = {10.1007/978-3-662-47666-6_49},
editor = {Halld{\'o}rsson, Magn{\'u}s M and Iwama, Kazuo and Kobayashi, Naoki and Speckmann, Bettina},
keywords = {network_geometry},
pages = {614--625},
publisher = {{Springer Berlin Heidelberg}},
title = {On the {{Diameter}} of {{Hyperbolic Random Graphs}}},
year = {2015}
}
@article{gaisbauer2021grounding,
archiveprefix = {arXiv},
author = {Gaisbauer, Felix and Pournaki, Armin and Banisch, Sven and Olbrich, Eckehard},
eprint = {2110.11772},
eprinttype = {arxiv},
keywords = {embedding_algorithm,network_geometry},
title = {Grounding force-directed network layouts with latent space models},
url = {http://arxiv.org/abs/2110.11772},
year = {2021}
}
@article{galhotra2018geometric,
archiveprefix = {arXiv},
author = {Galhotra, Sainyam and Mazumdar, Arya and Pal, Soumyabrata and Saha, Barna},
eprint = {1709.05510},
eprinttype = {arxiv},
keywords = {community_structure,maitrise_beatrice,network_geometry},
title = {The {{Geometric Block Model}}},
url = {http://arxiv.org/abs/1709.05510},
year = {2018}
}
@article{garcia-perez2016hidden,
author = {{Garc{\'i}a-P{\'e}rez}, G. and Bogu{\~n}{\'a}, M. and Allard, A. and Serrano, M. {\'A}.},
doi = {10.1038/srep33441},
journal = {Sci. Rep.},
keywords = {hyperbolic_embedding,network_embedding,network_geometry,real_networks},
pages = {33441},
title = {The hidden hyperbolic geometry of international trade: {{World Trade Atlas}} 1870-2013},
volume = {6},
year = {2016}
}
@phdthesis{garcia-perez2018geometric,
author = {{Garc{\'i}a-P{\'e}rez}, G.},
keywords = {maitrise_olivier,network_geometry},
school = {Universitat de Barcelona},
title = {A geometric approach to the structure of complex networks},
url = {http://hdl.handle.net/2445/127574},
year = {2018}
}
@article{garcia-perez2018multiscale,
author = {{Garc{\'i}a-P{\'e}rez}, G. and Bogu{\~n}{\'a}, M. and Serrano, M. {\'A}.},
doi = {10.1038/s41567-018-0072-5},
journal = {Nat. Phys.},
keywords = {bibl_directedS1,navigability,network_geometry,renormalization},
pages = {583--589},
title = {Multiscale unfolding of real networks by geometric renormalization},
volume = {14},
year = {2018}
}
@incollection{garcia-perez2018new,
author = {{Garc{\'i}a-P{\'e}rez}, G. and Bogu{\~n}{\'a}, M. and Allard, A. and Serrano, M. {\'A}.},
booktitle = {Networks of {{International Trade}} and {{Investment}}: {{Understanding}} globalisation through the lens of network analysis},
editor = {Gorgoni, S. and Amighini, A. and Smith, M.},
keywords = {network_geometry},
pages = {344},
publisher = {{Vernon Press}},
title = {A new approach to international trade from {{Network Geometry}}. {{The World Trade Atlas}} 1870-2013},
url = {https://vernonpress.com/book/96},
year = {2018}
}
@article{garcia-perez2018soft,
author = {{Garc{\'i}a-P{\'e}rez}, G. and Serrano, M. {\'A}. and Bogu{\~n}{\'a}, M.},
doi = {10.1007/s10955-018-2084-z},
journal = {J. Stat. Phys.},
keywords = {bibl_directedS1,community_structure,hyperbolic_geometry,network_geometry},
pages = {775--782},
title = {Soft {{Communities}} in {{Similarity Space}}},
volume = {173},
year = {2018}
}
@article{garcia-perez2019mercator,
author = {{Garc{\'i}a-P{\'e}rez}, G. and Allard, A. and Serrano, M. {\'A}. and Bogu{\~n}{\'a}, M.},
doi = {10.1088/1367-2630/ab57d2},
journal = {New J. Phys.},
keywords = {bibl_directedS1,embedding_algorithm,network_geometry},
pages = {123033},
title = {Mercator: uncovering faithful hyperbolic embeddings of complex networks},
volume = {21},
year = {2019}
}
@article{garuccio2020multiscale,
author = {Garuccio, E. and Lalli, M. and Garlaschelli, D.},
journal = {arXiv},
keywords = {network_geometry,renormalization},
pages = {2009.11024},
title = {Multiscale network renormalization: scale-invariance without geometry},
url = {http://arxiv.org/abs/2009.11024},
year = {2020}
}
@article{gates2019nature,
author = {Gates, A. J. and Ke, Q. and Varol, O. and Barab{\'a}si, A.-L.},
doi = {10.1038/d41586-019-03308-7},
journal = {Nature},
keywords = {network_geometry},
pages = {32--34},
title = {Nature's reach: narrow work has broad impact},
volume = {575},
year = {2019}
}
@article{gu2021principled,
author = {Gu, Weiwei and Tandon, Aditya and Ahn, Yong-Yeol and Radicchi, Filippo},
doi = {10.1038/s41467-021-23795-5},
journal = {Nat. Commun.},
keywords = {embedding,maitrise_beatrice,network_embedding,network_geometry},
pages = {3772},
title = {Principled approach to the selection of the embedding dimension of networks},
volume = {12},
year = {2021}
}
@incollection{gugelmann2012random,
author = {Gugelmann, L and Panagiotou, K and Peter, U},
booktitle = {Automata, {{Languages}}, and {{Programming}}},
doi = {10.1007/978-3-642-31585-5_51},
editor = {Czumaj, Artur and Mehlhorn, Kurt and Pitts, Andrew and Wattenhofer, Roger},
keywords = {network_geometry},
pages = {573--585},
publisher = {{Springer Berlin Heidelberg}},
title = {Random {{Hyperbolic Graphs}}: {{Degree Sequence}} and {{Clustering}}},
year = {2012}
}
@article{gugelmann2012randoma,
archiveprefix = {arXiv},
author = {Gugelmann, Luca and Panagiotou, Konstantinos and Peter, Ueli},
eprint = {1205.1470},
eprinttype = {arxiv},
keywords = {network_geometry},
title = {Random {{Hyperbolic Graphs}}: {{Degree Sequence}} and {{Clustering}}},
url = {http://arxiv.org/abs/1205.1470},
year = {2012}
}
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doi = {10.1093/comnet/cnab016},
journal = {J. Complex Netw.},
keywords = {network_geometry},
pages = {cnab016},
title = {Gravity and depth of social media networks},
volume = {9},
year = {2021}
}
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doi = {10.1038/ncomms8651},
journal = {Nat. Commun.},
keywords = {navigability,network_geometry},
pages = {7651},
title = {Navigable networks as {{Nash}} equilibria of navigation games},
volume = {6},
year = {2015}
}
@article{hartle2021dynamic,
author = {Hartle, H. and Papadopoulos, F. and Krioukov, D.},
doi = {10.1103/PhysRevE.103.052307},
journal = {Phys. Rev. E},
keywords = {maitrise_beatrice,maitrise_olivier,network_geometry},
pages = {052307},
title = {Dynamic hidden-variable network models},
volume = {103},
year = {2021}
}
@article{hutchcroft2019percolation,
author = {Hutchcroft, T.},
doi = {10.1007/s00039-019-00498-0},
journal = {Geometric and Functional Analysis},
keywords = {maitrise_olivier,network_geometry,percolation},
pages = {766--810},
title = {Percolation on {{Hyperbolic Graphs}}},
volume = {29},
year = {2019}
}
@article{jhun2022topological,
author = {Jhun, Bukyoung},
doi = {10.1063/5.0073107},
journal = {Chaos},
keywords = {network_geometry},
pages = {013116},
title = {Topological analysis of the latent geometry of a complex network},
volume = {32},
year = {2022}
}
@article{keller-ressel2020hydra,
author = {{Keller-Ressel}, M. and Nargang, S.},
doi = {10.1093/comnet/cnaa002},
journal = {J. Complex Netw.},
keywords = {hyperbolic_geometry,network_embedding,network_geometry},
title = {Hydra: a method for strain-minimizing hyperbolic embedding of network- and distance-based data},
volume = {8},
year = {2020}
}
@article{kerrache2020scalable,
author = {Kerrache, S. and Alharbi, R. and Benhidour, H.},
doi = {10.1038/s41598-020-62636-1},
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keywords = {network_geometry},
pages = {6394},
title = {A {{Scalable Similarity-Popularity Link Prediction Method}}},
volume = {10},
year = {2020}
}
@article{kitsak2017latent,
author = {Kitsak, M. and Papadopoulos, F. and Krioukov, D.},
doi = {10.1103/PhysRevE.95.032309},
journal = {Phys. Rev. E},
keywords = {bipartite_graphs,metric_graphs,network_geometry},
pages = {032309},
title = {Latent geometry of bipartite networks},
volume = {95},
year = {2017}
}
@article{kitsak2020link,
author = {Kitsak, M. and Voitalov, I. and Krioukov, D.},
doi = {10.1103/PhysRevResearch.2.043113},
journal = {Phys. Rev. Research},
keywords = {@networkspapers,link_prediction,maitrise_beatrice,maitrise_olivier,network_geometry},
pages = {043113},
title = {Link prediction with hyperbolic geometry},
volume = {2},
year = {2020}
}
@article{kitsak2020random,
archiveprefix = {arXiv},
author = {Kitsak, Maksim and Aldecoa, Rodrigo and Zuev, Konstantin and Krioukov, Dmitri},
eprint = {2010.12303},
eprinttype = {arxiv},
keywords = {network_geometry},
title = {Random hyperbolic graphs in \$d+1\$ dimensions},
url = {http://arxiv.org/abs/2010.12303},
year = {2020}
}
@incollection{kiwi2014bound,
author = {Kiwi, M. and Mitsche, D.},
booktitle = {2015 {{Proceedings}} of the {{Meeting}} on {{Analytic Algorithmics}} and {{Combinatorics}} ({{ANALCO}})},
doi = {10.1137/1.9781611973761.3},
keywords = {maitrise_olivier,network_geometry,percolation},
pages = {26--39},
publisher = {{Society for Industrial and Applied Mathematics}},
title = {A {{Bound}} for the {{Diameter}} of {{Random Hyperbolic Graphs}}},
year = {2014}
}
@article{kleineberg2016hidden,
author = {Kleineberg, K.-K. and Bogu{\~n}{\'a}, M. and Serrano, M. {\'A}. and Papadopoulos, F.},
doi = {10.1038/nphys3812},
journal = {Nat. Phys.},
keywords = {bibl_directedS1,multiplex_graphs,network_geometry},
pages = {1076--1081},
title = {Hidden geometric correlations in real multiplex networks},
volume = {12},
year = {2016}
}
@article{kleineberg2017geometric,
author = {Kleineberg, K.-K. and Buzna, L. and Papadopoulos, F. and Bogu{\~n}{\'a}, M. and Serrano, M. {\'A}.},
doi = {10.1103/PhysRevLett.118.218301},
journal = {Phys. Rev. Lett.},
keywords = {multiplex_graphs,multiplex_networks,network_geometry},
pages = {218301},
title = {Geometric {{Correlations Mitigate}} the {{Extreme Vulnerability}} of {{Multiplex Networks}} against {{Targeted Attacks}}},
volume = {118},
year = {2017}
}
@article{klimm2022topological,
author = {Klimm, Florian},
doi = {10.1063/5.0090114},
journal = {Chaos},
keywords = {network_geometry},
pages = {073108},
title = {Topological data analysis of truncated contagion maps},
volume = {32},
year = {2022}
}
@article{knor2021graphs,
author = {Knor, Martin and Majstorovi{\'c}, Snje{\v z}ana and Masa Toshi, Aoden Teo and {\v S}krekovski, Riste and Yero, Ismael G.},
doi = {10.1016/j.amc.2021.126076},
journal = {Appl. Math. Comput.},
keywords = {network_geometry},
pages = {126076},
title = {Graphs with the edge metric dimension smaller than the metric dimension},
volume = {401},
year = {2021}
}
@article{kochurov2020are,
archiveprefix = {arXiv},
author = {Kochurov, Max and Ivanov, Sergey and Burnaev, Eugeny},
eprint = {2007.07698},
eprinttype = {arxiv},
keywords = {embedding_algorithm,hyperbolic_embedding,network_geometry},
title = {Are {{Hyperbolic Representations}} in {{Graphs Created Equal}}?},
url = {http://arxiv.org/abs/2007.07698},
year = {2020}
}
@article{kovacs2020optimisation,
archiveprefix = {arXiv},
author = {Kov{\'a}cs, B. and Palla, G.},
eprint = {2009.04702},
eprinttype = {arxiv},