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Most cited papers in Topological and Geometric Data Analysis

Topological and Geometric Data Analysis

What are the most cited papers in Topological and Geometric Data Analysis?

The most cited paper in Topological and Geometric Data Analysis is "Finding and evaluating community structure in networks" (Michelle Gayle Newman, Michelle Girvan, 2004), with 14,307 citations. Next come "Gephi: An Open Source Software for Exploring and Manipulating Networks" (11,573) and "Laplacian Eigenmaps for Dimensionality Reduction and Data Representation" (7,818).

Showing 50 of 100 papers. Every paper with more than 482 citations is listed.

Most cited papers, sortable by citations and release date
#Paper
1 Finding and evaluating community structure in networks Michelle Gayle Newman, Michelle Girvan · Physical Review E Open access 26 Feb 2004 14,307
2 Gephi: An Open Source Software for Exploring and Manipulating Networks Mathieu Bastian, Sébastien Heymann, Mathieu Jacomy · Proceedings of the International AAAI Conference on Web and Social Media Conference paperOpen access 19 Mar 2009 11,573
3 Laplacian Eigenmaps for Dimensionality Reduction and Data Representation Mikhail Belkin, Partha Niyogi · Neural Computation 21 May 2003 7,818
4 Graph drawing by force‐directed placement Thomas M. J. Fruchterman, Edward M. Reingold · Software Practice and Experience Nov 1991 6,481
5 Laplacian Eigenmaps and Spectral Techniques for Embedding and Clustering Mikhail Belkin, Partha Niyogi · The MIT Press eBooks Book chapter 8 Nov 2002 4,552
6 The architecture of complex weighted networks Alain Barrat, Marc Barthélemy, Romualdo Pastor‐Satorras et al. · Proceedings of the National Academy of Sciences Open access 8 Mar 2004 4,319
7 UpSetR: an R package for the visualization of intersecting sets and their properties Jake R. Conway, Alexander Lex, Nils Gehlenborg · Bioinformatics Open access 6 Jun 2017 4,016
8 Topological structural analysis of digitized binary images by border following Satoshi Suzuki, KeiichiA be · Computer Vision Graphics and Image Processing Apr 1985 2,693
9 Diffusion maps Ronald R. Coifman, Stéphane Lafon · Applied and Computational Harmonic Analysis Open access 20 Jun 2006 2,411
10 Topology and data Gunnar Carlsson · Bulletin of the American Mathematical Society Open access 29 Jan 2009 2,371
11 Computing Communities in Large Networks Using Random Walks Pascal Pons, Matthieu Latapy · Lecture notes in computer science Conference paper 2005 2,129
12 Detecting community structure in networks Mark E. J. Newman · The European Physical Journal B Open access Mar 2004 2,060
13 Positive-unlabeled convolutional neural networks for particle picking in cryo-electron micrographs Tristan Bepler, Andrew Morin, Micah Rapp et al. · Nature Methods Open access 7 Oct 2019 1,871
14 Topological Persistence and Simplification Edelsbrunner, Letscher, Zomorodian · Discrete & Computational Geometry Open access Nov 2002 1,833
15 Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps Ronald R. Coifman, Stéphane Lafon, A. B. Lee et al. · Proceedings of the National Academy of Sciences Open access 17 May 2005 1,787
16 On the resemblance and containment of documents Arndt Bröder Conference paper 22 Nov 2002 1,741
17 Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data David L. Donoho, Carrie Grimes · Proceedings of the National Academy of Sciences Open access 30 Apr 2003 1,701
18 Computing Persistent Homology Afra Zomorodian, Gunnar Carlsson · Discrete & Computational Geometry Open access 19 Nov 2004 1,651
19 Some unique properties of eigenvector centrality Phillip Bonacich · Social Networks 6 May 2007 1,602
20 Comparing clusterings—an information based distance Marina Meilă · Journal of Multivariate Analysis Open access 26 Dec 2006 1,599
21 Laplacian matrices of graphs: a survey Russell Merris · Linear Algebra and its Applications Open access 1994 1,546
22 The Geometries of 3-Manifolds Peter Scott · Bulletin of the London Mathematical Society Open access Sep 1983 1,508
23 Scale-Free Brain Functional Networks Victor M. Eguı́luz, Dante R. Chialvo, Guillermo Cecchi et al. · Physical Review Letters Open access 6 Jan 2005 1,496
24 Topographic distance and watershed lines Fernand Meyer · Signal Processing Jul 1994 1,441
25 On the computational complexity of Ising spin glass models Francisco Barahona · Journal of Physics A Mathematical and General Open access Oct 1982 1,356
26 Spectral grouping using the nystrom method Charless C. Fowlkes, Serge Belongie, Fan Chung et al. · IEEE Transactions on Pattern Analysis and Machine Intelligence Open access Feb 2004 1,347
27 Stability of Persistence Diagrams David Cohen‐Steiner, Herbert Edelsbrunner, John Harer · Discrete & Computational Geometry Open access 11 Dec 2006 1,334
28 Higher-order organization of complex networks Austin R. Benson, David F. Gleich, Jure Leskovec · Science Open access 7 Jul 2016 1,314
29 Barcodes: The persistent topology of data Robert Ghrist · Bulletin of the American Mathematical Society Open access 26 Oct 2007 1,313
30 Eigenvalues and expanders Noga Alon · COMBINATORICA Jun 1986 1,180
31 Biological shape and visual science (part I) H.E. Blum · Journal of Theoretical Biology Feb 1973 1,170
32 Hyperbolic geometry of complex networks Dmitri Krioukov, Fragkiskos Papadopoulos, Maksim Kitsak et al. · Physical Review E Open access 9 Sep 2010 1,096
33 Diffusion maps, spectral clustering and reaction coordinates of dynamical systems Boaz Nadler, Stéphane Lafon, Ronald R. Coifman et al. · Applied and Computational Harmonic Analysis Open access 11 Jun 2006 1,022
34 Digital topology: Introduction and survey T. Yung Kong, Azriel Rosenfeld · Computer Vision Graphics and Image Processing Dec 1989 1,009
35 The geometry of graphs and some of its algorithmic applications Nathan Linial, Eran London, Yuri G. Rabinovich · COMBINATORICA Jun 1995 978
36 Self-organized critical state of sandpile automaton models Deepak Dhar · Physical Review Letters 2 Apr 1990 942
37 Extracting the multiscale backbone of complex weighted networks M. Ángeles Serrano, Marián Boguñá, Alessandro Vespignani · Proceedings of the National Academy of Sciences Open access 8 Apr 2009 929
38 Topology representing networks Thomas Martinetz, Klaus Schulten · Neural Networks 1994 893
39 On clusterings Ravi Kannan, Santosh Vempala, Adrian R. Vetta · Journal of the ACM May 2004 862
40 The Isomap Algorithm and Topological Stability Mukund Balasubramanian, Eric L. Schwartz · Science 4 Jan 2002 858
41 Topological field theory Danny Birmingham · Physics Reports Dec 1991 839
42 A tutorial on kernel density estimation and recent advances Yen‐Chi Chen · Biostatistics & Epidemiology 2017 830
43 A roadmap for the computation of persistent homology Nina Otter, Mason Alexander Porter, Ulrike Tillmann et al. · EPJ Data Science Open access 9 Aug 2017 779
44 Ricci curvature of Markov chains on metric spaces Yann Ollivier · Journal of Functional Analysis Open access 29 Nov 2008 764
45 On Extensions of the Brunn-Minkowski and Prékopa-Leindler Theorems, Including Inequalities for Log Concave Functions, and with an Application to the Diffusion Equation Herm Jan Brascamp, Élliott H. Lieb Book chapter 2002 740
46 Complex Graphs and Networks Fan Chung, Linyuan Lü · Regional conference series in mathematics Conference paper 28 Aug 2006 721
47 Solving the 3D Ising model with the conformal bootstrap Sheer El-Showk, Miguel F. Paulos, David Poland et al. · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields Open access 20 Jul 2012 712
48 Intersection homology theory Mark Goresky, Robert A. Macpherson · Topology Open access 1980 707
49 Homological scaffolds of brain functional networks Giovanni Petri, Paul Expert, Federico Turkheimer et al. · Journal of The Royal Society Interface Open access 29 Oct 2014 706
50 Unsupervised Learning of Image Manifolds by Semidefinite Programming Kilian Q. Weinberger, Lawrence K. Saul · International Journal of Computer Vision May 2006 704

Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.