{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T19:45:46Z","timestamp":1775072746808,"version":"3.50.1"},"reference-count":39,"publisher":"Oxford University Press (OUP)","issue":"5","license":[{"start":{"date-parts":[[2017,11,8]],"date-time":"2017-11-08T00:00:00Z","timestamp":1510099200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018,10,1]]},"DOI":"10.1093\/comnet\/cnx049","type":"journal-article","created":{"date-parts":[[2017,9,25]],"date-time":"2017-09-25T19:13:17Z","timestamp":1506366797000},"page":"706-732","source":"Crossref","is-referenced-by-count":18,"title":["Coarse geometry of evolving networks"],"prefix":"10.1093","volume":"6","author":[{"given":"Melanie","family":"Weber","sequence":"first","affiliation":[{"name":"Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, Leipzig, Germany, Department of Mathematics, University of Leipzig, Augustusplatz 10, Leipzig, Germany"}]},{"given":"Emil","family":"Saucan","sequence":"additional","affiliation":[{"name":"Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, Leipzig, Germany and Technion\u2014Israel Institute of Technology, Haifa, Israel"}]},{"given":"J\u00fcrgen","family":"Jost","sequence":"additional","affiliation":[{"name":"Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, Leipzig, Germany and Santa Fe Institute, 1399 Hyde Park Road Santa Fe, New Mexico 87501 USA"}]}],"member":"286","published-online":{"date-parts":[[2017,11,8]]},"reference":[{"key":"key\n\t\t\t\t20181015102310156_B1","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1103\/RevModPhys.74.47","article-title":"Statistical mechanics of complex networks.","volume":"74","author":"Barab\u00e1si,","year":"2002","journal-title":"Rev. Mod. Phys."},{"key":"key\n\t\t\t\t20181015102310156_B2","doi-asserted-by":"crossref","first-page":"8577","DOI":"10.1073\/pnas.0601602103","article-title":"Modularity and community structure in networks.","volume":"103","author":"Newman,","year":"2006","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"key\n\t\t\t\t20181015102310156_B3","doi-asserted-by":"crossref","first-page":"063206","DOI":"10.1088\/1742-5468\/2016\/06\/063206","article-title":"Forman curvature for complex networks.","author":"Sreejith,","year":"2016","journal-title":"J. Stat. Mech. Theor. Exp."},{"key":"key\n\t\t\t\t20181015102310156_B4","doi-asserted-by":"crossref","DOI":"10.3390\/axioms5040026","article-title":"Forman-Ricci flow for change detection in large dynamic data sets.","volume":"5","author":"Weber,","year":"2016","journal-title":"Axioms"},{"key":"key\n\t\t\t\t20181015102310156_B5","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1093\/comnet\/cnw030","article-title":"Characterizing complex networks with Forman-Ricci curvature and associated geometric flows.","volume":"5","author":"Weber,","year":"2017","journal-title":"J. Complex Netw."},{"key":"key\n\t\t\t\t20181015102310156_B6","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1007\/s00454-002-0743-x","article-title":"Bochner\u2019s method for cell complexes and combinatorial Ricci curvature.","volume":"29","author":"Forman,","year":"2003","journal-title":"Discrete Comput. Geom."},{"key":"key\n\t\t\t\t20181015102310156_B7","article-title":"Combinatorial Ricci curvature for polyhedral surfaces and posets.","author":"Bloch,","year":"2014"},{"key":"key\n\t\t\t\t20181015102310156_B8","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1016\/j.dam.2010.11.017","article-title":"A class of graph-geodetic distances generalizing the shortest-path and the resistance distances.","volume":"159","author":"Chebotarev,","year":"2011","journal-title":"Discrete Appl. Math."},{"key":"key\n\t\t\t\t20181015102310156_B9","article-title":"Centralities in simplicial complexes.","author":"Estrada,","year":"2017"},{"key":"key\n\t\t\t\t20181015102310156_B10","doi-asserted-by":"crossref","first-page":"036106.","DOI":"10.1103\/PhysRevE.82.036106","article-title":"Hyperbolic geometry of complex networks.","volume":"82","author":"Krioukov,","year":"2010","journal-title":"Phys. Rev. E"},{"key":"key\n\t\t\t\t20181015102310156_B11","doi-asserted-by":"crossref","first-page":"78701","DOI":"10.1103\/PhysRevLett.100.078701","article-title":"Self-similarity of complex networks and hidden metric spaces.","volume":"100","author":"Serrano,","year":"2008","journal-title":"Phys. Rev. Lett."},{"key":"key\n\t\t\t\t20181015102310156_B12","doi-asserted-by":"crossref","first-page":"41974","DOI":"10.1038\/srep41974","article-title":"Emergent hyperbolic network geometry.","volume":"7","author":"Bianconi,","year":"2017","journal-title":"Sci. Rep."},{"key":"key\n\t\t\t\t20181015102310156_B13","doi-asserted-by":"crossref","first-page":"062311","DOI":"10.1103\/PhysRevE.93.062311","article-title":"Generalized network structures: the configuration model and the canonical ensemble of simplicial complexes.","volume":"93","author":"Courtney,","year":"2016","journal-title":"Phys. Rev. E"},{"key":"key\n\t\t\t\t20181015102310156_B14","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1007\/978-1-4939-2864-4_602","article-title":"Discrete Ricci flow for geometric routing.","author":"Gao,","year":"2016","journal-title":"Encyclopedia Algorithms"},{"key":"key\n\t\t\t\t20181015102310156_B15","article-title":"Embedding graphs in Lorentzian spacetime.","author":"Clough,","year":"2016"},{"key":"key\n\t\t\t\t20181015102310156_B16","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1007\/BF02776078","article-title":"On Lipschitz embedding of finite metric spaces in Hilbert space.","volume":"52","author":"Bourgain,","year":"1985","journal-title":"Israel J. Math"},{"key":"key\n\t\t\t\t20181015102310156_B17","article-title":"Finite metric spaces combinatorics, geometry and algorithms.","volume":"Vol. III.","author":"Linial,","year":"2002","journal-title":"Proceedings of the International Congress of Mathematicians"},{"key":"key\n\t\t\t\t20181015102310156_B18","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1007\/s10851-011-0296-9","article-title":"Isometric embeddings in imaging and vision: facts and fiction.","volume":"43","author":"Saucan,","year":"2012","journal-title":"J Math. Imaging Vis."},{"key":"key\n\t\t\t\t20181015102310156_B19","article-title":"Network topology vs. geometry: from persistent homology to curvature.","author":"Saucan,","year":"2016","journal-title":"Proceedings of NIPS LHDS 2016"},{"key":"key\n\t\t\t\t20181015102310156_B20","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1007\/978-94-011-0924-6_3","article-title":"Polyhedra with hollow faces.","volume-title":"Polytopes: Abstract, Convex and Computational. NATO ASI Series","author":"Gr\u00fcnbaum,","year":"1994"},{"key":"key\n\t\t\t\t20181015102310156_B21","doi-asserted-by":"crossref","first-page":"452","DOI":"10.1086\/jar.33.4.3629752","article-title":"An information flow model for conflict and fission in small groups.","volume":"33","author":"Zachary,","year":"1977","journal-title":"J. Anthropol. Res."},{"key":"key\n\t\t\t\t20181015102310156_B22","doi-asserted-by":"crossref","first-page":"326","DOI":"10.1080\/07468342.1986.11972974","article-title":"The surveyor\u2019s area formula.","volume":"17","author":"Braden,","year":"1986","journal-title":"Coll. Math. J."},{"key":"key\n\t\t\t\t20181015102310156_B23","doi-asserted-by":"crossref","first-page":"396","DOI":"10.1007\/s00265-003-0651-y","article-title":"The bottlenose dolphin community of doubtful sound features a large proportion of long-lasting associations.","volume":"54","author":"Lusseau,","year":"2003","journal-title":"Behav. Ecol. Sociobiol."},{"key":"key\n\t\t\t\t20181015102310156_B24","doi-asserted-by":"crossref","first-page":"1343","DOI":"10.1145\/2487788.2488173","article-title":"Konect\u2014the koblenz network collection.","author":"Kunegis,","year":"2013","journal-title":"Proc. Int. Conf. on World Wide Web Companion"},{"key":"key\n\t\t\t\t20181015102310156_B25","first-page":"197","volume-title":"Matching Organizational Structure and Social Network Extracted from Email Communication","author":"Michalski,","year":"2011"},{"key":"key\n\t\t\t\t20181015102310156_B26","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1038\/ng881","article-title":"Network motifs in the transcriptional regulation network of Escherichia coli.","volume":"17","author":"Shen-Orr,","year":"2002","journal-title":"Nat. Genet."},{"key":"key\n\t\t\t\t20181015102310156_B27","doi-asserted-by":"crossref","first-page":"299","DOI":"10.2307\/2315353","article-title":"A note on the volume of a simplex.","volume":"73","author":"Stein,","year":"1966","journal-title":"Am. Math. Mon."},{"key":"key\n\t\t\t\t20181015102310156_B28","volume-title":"A Panoramic View of Riemannian Geometry","author":"Berger,","year":"2012"},{"key":"key\n\t\t\t\t20181015102310156_B29","doi-asserted-by":"crossref","DOI":"10.1007\/b97315","volume-title":"Computational Homology","author":"Kaczynski,","year":"2004"},{"key":"key\n\t\t\t\t20181015102310156_B30","article-title":"Combinatorial Ricci curvature on cell-complex and Gauss-Bonnnet Theorem.","author":"Watanabe,","year":"2017"},{"key":"key\n\t\t\t\t20181015102310156_B31","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511721465","volume-title":"Lectures on the Ricci Flow","author":"Topping,","year":"2006"},{"key":"key\n\t\t\t\t20181015102310156_B32","doi-asserted-by":"crossref","first-page":"259","DOI":"10.4310\/GIC.2014.v1.n2.a3","article-title":"A metric Ricci flow for surfaces and its applications.","volume":"1","author":"Saucan,","year":"2014","journal-title":"Geom. Imaging Comput."},{"key":"key\n\t\t\t\t20181015102310156_B33","first-page":"237","article-title":"The Ricci flow on surfaces (at Mathematics and general relativity, Santa Cruz CA).","volume":"71","author":"Hamilton,","year":"1988","journal-title":"Contemp. Math."},{"key":"key\n\t\t\t\t20181015102310156_B34","doi-asserted-by":"crossref","first-page":"97","DOI":"10.4310\/jdg\/1080835659","article-title":"Combinatorial Ricci flows on surfaces.","volume":"63","author":"Chow,","year":"2003","journal-title":"J. Differ. Geom."},{"key":"key\n\t\t\t\t20181015102310156_B35","first-page":"831","article-title":"Romantic partnerships and the dispersion of social ties: a network analysis of relationship status on Facebook.","author":"Backstrom,","year":"2014","journal-title":"Proceedings of the 17th ACM Conference on Computer Supported Cooperative Work & Social Computing"},{"key":"key\n\t\t\t\t20181015102310156_B36","doi-asserted-by":"crossref","first-page":"810","DOI":"10.1016\/j.jfa.2008.11.001","article-title":"Ricci curvature of Markov chains on metric spaces.","volume":"256","author":"Ollivier,","year":"2009","journal-title":"J. Funct. Anal."},{"key":"key\n\t\t\t\t20181015102310156_B37","doi-asserted-by":"crossref","first-page":"343","DOI":"10.2969\/aspm\/05710343","article-title":"A survey of Ricci curvature for metric spaces and Markov chains.","volume":"57","author":"Ollivier,","year":"2010","journal-title":"Probabilist. Approach Geom."},{"key":"key\n\t\t\t\t20181015102310156_B38","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1215\/ijm\/1256050156","article-title":"A combinatorial analogue of a theorem of Myers.","volume":"20","author":"Stone,","year":"1976","journal-title":"Illinois J. Math."},{"key":"key\n\t\t\t\t20181015102310156_B39","doi-asserted-by":"crossref","first-page":"395","DOI":"10.3934\/nhm.2008.3.395","article-title":"Spectral plot properties: towards a qualitative classification of networks.","volume":"3","author":"Banerjee,","year":"2008","journal-title":"NHM"}],"container-title":["Journal of Complex Networks"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/academic.oup.com\/comnet\/article-pdf\/6\/5\/706\/26059069\/cnx049.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,8,3]],"date-time":"2022-08-03T11:16:38Z","timestamp":1659525398000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/comnet\/article\/6\/5\/706\/4604716"}},"subtitle":[],"editor":[{"given":"Ernesto","family":"Estrada","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2017,11,8]]},"references-count":39,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2017,11,8]]},"published-print":{"date-parts":[[2018,10,1]]}},"URL":"https:\/\/doi.org\/10.1093\/comnet\/cnx049","relation":{},"ISSN":["2051-1310","2051-1329"],"issn-type":[{"value":"2051-1310","type":"print"},{"value":"2051-1329","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2018,10]]},"published":{"date-parts":[[2017,11,8]]}}}