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The complexity of many biological, social and technological systems stems from the richness of the interactions among their units.
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Centrality measures in simplicial complexes: Applications of TDA to Network Science
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Per Sebastian Skardal and Alex Arenas · 1909
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A contribution to the mathematical theory of epidemics
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Effects of group pressure upon the modification and distortion of judgments
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The chemical basis of morphogenesis
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Games and decisions: Introduction and critical survey, 2012 ed
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Lectures on gas theory, translated by s
Ludwig Boltzmann · 1964
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Epidemics and rumours
Daryl J Daley and David G Kendall · 1964
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The representation of a graph by set intersections
Paul Erdös, Adolph W Goodman, and Louis Pósa · 1966
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A Taxonomy of 2 x 2 Games, by Anatol Rapoport and Melvin Guyer
A. Rapoport and M. Guyer · 1966
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The structure of positive interpersonal relations in small groups
James A Davis and Samuel Leinhardt · 1967
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Epidemics and rumours: A survey
Klaus Dietz · 1967
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The tragedy of the commons
Garrett Hardin · 1968
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A new product growth for model consumer durables
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The competitive structure of communities: An experimental approach with protozoa
John H. Vandermeer · 1969
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More is different
P. W. Anderson · 1972
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From cohomology in physics to q-connectivity in social science
Ronald H Atkin · 1972
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Factoring and weighting approaches to status scores and clique identification
Phillip Bonacich · 1972
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Game theory and the evolution of fighting
J Maynard Smith · 1972
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Will a large complex system be stable?
Robert M May · 1972
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Graphs and hypergraphs
Claude Berge · 1973
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Mathematical Structure in Human Affairs
Ron Atkin · 1974
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Reaching a consensus
Morris H DeGroot · 1974
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The community matrix and interdependence of the competition coefficients
William E. Neill · 1974
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Assembly of species communities
Jared M Diamond · 1975
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Graph Theory with Applications , volume 290
John Adrian Bondy, Uppaluri Siva Ramachandra Murty, et al · 1976
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Cliques in random graphs
Béla Bollobás and Paul Erdös · 1976
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Local structure in social networks
Paul W Holland and Samuel Leinhardt · 1976
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The logic of asymmetric contests
John Maynard Smith and Geoffrey A Parker · 1976
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Mathematical structure in human affairs, by R. H. Atkin
S. Wylie · 1976
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The strength of weak ties
Mark S Granovetter · 1977
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Counting the number of r× c contingency tables with fixed margins
Mitchell Gail and Nathan Mantel · 1977
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Threshold models of collective behavior
Mark Granovetter · 1978
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Evolutionary stable strategies and game dynamics
Peter D Taylor and Leo B Jonker · 1978
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The assembly of species communities: Chance or competition?
Edward F Connor and Daniel Simberloff · 1979
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The Principles of Statistical Mechanics
Richard Chace Tolman · 1979
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On the evolution of group and network structure
Patrick Doreian · 1979
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A structural analysis of a game: The Liverpool v Manchester united cup final of 1977
Peter Gould and Anthony Gatrell · 1979
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Q-analysis and the structure of friendship networks
Linton C. Freeman · 1980
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An exponential family of probability distributions for directed graphs
Paul W Holland and Samuel Leinhardt · 1981
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Testing for higher order interactions
Ted J. Case and Edward A. Bender · 1981
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Sur la cardinalité maximum des couplages d’hypergraphes aléatoires uniformes
W Fernandez De La Vega · 1982
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Evolution and the Theory of Games
John Maynard Smith · 1982
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An experimental analysis of ultimatum bargaining
Werner Güth, Rolf Schmittberger, and Bernd Schwarze · 1982
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Hypernetwork sampling: Duality and differentiation among voluntary organizations
J.Miller McPherson · 1982
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Urban structures derived from collections of overlapping subsets
Brian Foster and Stephen Seidman · 1982
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Stochastic blockmodels: First steps
Paul W. Holland, Kathryn Blackmond Laskey, and Samuel Leinhardt · 1983
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A threshold for perfect matchings in random d-pure hypergraphs
Jeanette Schmidt and Eli Shamir · 1983
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Arguments in favor of higher order interactions
Peter A. Abrams · 1983
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Chemical Oscillations, Waves, and Turbulence
Y. Kuramoto · 1984
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The Evolution of Cooperation
R. Axelrod and R.M. Axelrod · 1984
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Overlap structure of ceremonial events in two Thai villages
B.L. Foster and Stephen Seidman · 1984
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A survey of algorithms for exact distributions of test statistics in r× c contingency tables with fixed margins
Albert Verbeek and Pieter M Kroonenberg · 1985
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Component structure in the evolution of random hypergraphs
Jeanette Schmidt-Pruzan and Eli Shamir · 1985
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Exchangeability and related topics
David J Aldous · 1985
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Markov graphs
Ove Frank and David Strauss · 1986
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On a general class of models for interaction
David Strauss · 1986
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The pendulum clock
Christiaan Huygens and Horologium Oscillatorium · 1986
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Self-organized criticality: An explanation of the 1/f noise
Per Bak, Chao Tang, and Kurt Wiesenfeld · 1987
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Power and centrality: A family of measures
Phillip Bonacich · 1987
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Routing of multipoint connections
Bernard M Waxman · 1988
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Synchronous rhythmic flashing of fireflies. II
John Buck · 1988
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From a small to a large minority: Women in Scandinavian politics
Drude Dahlerup · 1988
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Replicators with random interactions: A solvable model
Sigurd Diederich and Manfred Opper · 1989
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Social networks with two sets of actors
Dawn Iacobucci and Stanley Wasserman · 1990
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Synchronization in chaotic systems
Louis M Pecora and Thomas L Carroll · 1990
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Simultaneous group and individual centralities
Phillip Bonacich · 1991
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Infectious Diseases of Humans: Dynamics and Control
Roy M Anderson and Robert M May · 1992
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A theory of fads, fashion, custom, and cultural change as informational cascades
Sushil Bikhchandani, David Hirshleifer, and Ivo Welch · 1992
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Isotropic majority-vote model on a square lattice
Mario J de Oliveira · 1992
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Evolutionary games and spatial chaos
Martin A Nowak and Robert M May · 1992
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On the use of size functions for shape analysis
Alessandro Verri, Claudio Uras, Patrizio Frosini, and Massimo Ferri · 1993
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Topology from time series
MR Muldoon, RS MacKay, JP Huke, and DS Broomhead · 1993
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The Laplacian of a hypergraph
Fan Chung · 1993
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Integrability of a globally coupled oscillator array
S. Watanabe and S. H. Strogatz · 1993
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Indirect effects and habitat use in an intertidal community: Interaction chains and interaction modifications
J Timothy Wootton · 1993
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Social Network Analysis : Methods and Applications (Structural Analysis in the Social Sciences)
Stanley Wasserman and Katherine Faust · 1994
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Constants of motion for superconducting Josephson arrays
S. Watanabe and S. H. Strogatz · 1994
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Special feature: Higher order interactions as a foil to reductionist ecology
Peter Kareiva · 1994
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Higher order interactions in ecological communities: What are they and how can they be detected?
Ian Billick and Ted J Case · 1994
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Social networks, support cliques, and kinship
Robin IM Dunbar and Matt Spoors · 1995
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Evolutionary stability for two-stage hawk-dove games
R Cressman · 1995
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Logit models and logistic regressions for social networks: I. An introduction to Markov graphs andp
Stanley Wasserman and Philippa Pattison · 1996
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Coloring bipartite hypergraphs
Hui Chen and Alan Frieze · 1996
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Universal properties of spectral dimension
Raffaella Burioni and Davide Cassi · 1996
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Phase synchronization of chaotic oscillators
Michael G Rosenblum, Arkady S Pikovsky, and Jürgen Kurths · 1996
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Network analysis of 2-mode data
Stephen P Borgatti and Martin G Everett · 1997
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Spectral Graph Theory
Fan RK Chung and Fan Chung Graham · 1997
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The dissemination of culture: A model with local convergence and global polarization
Robert Axelrod · 1997
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The discourses and other political writings
Jean-Jacques Rousseau · 1997
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Centrality in affiliation networks
Katherine Faust · 1997
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Networks within networks: Service link overlap, organizational cliques, and network effectiveness
Keith G Provan and Juliann G Sebastian · 1998
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Asymptotic properties of keys and functional dependencies in random databases
János Demetrovics, Gyula OH Katona, Dezsö Miklós, Oleg Seleznjev, and Bernhard Thalheim · 1998
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Synchronization in arrays of chaotic circuits coupled via hypergraphs: Static and dynamic coupling
Chai Wah Wu · 1998
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Master stability functions for synchronized coupled systems
Louis M Pecora and Thomas L Carroll · 1998
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Detection of n:m Phase Locking from Noisy Data: Application to Magnetoencephalography
P. Tass, M. G. Rosenblum, J. Weule, J. Kurths, A. Pikovsky, J. Volkmann, A. Schnitzler, and H.-J. Freund · 1998
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Evolutionary Games and Population Dynamics
Josef Hofbauer and Karl Sigmund · 1998
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Higher dimensional hypercategories
Akira Higuchi, Hiroyuki Miyoshi, and Toru Tsujishita · 1999
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Logit models for affiliation networks
John Skvoretz and Katherine Faust · 1999
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On random intersection graphs: The subgraph problem
Michał Karoński, Edward R Scheinerman, and Karen B Singer-Cohen · 1999
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Emergence of scaling in random networks
Albert-László Barabási and Réka Albert · 1999
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Replicator dynamics
Manfred Opper and Sigurd Diederich · 1999
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Multilevel hypergraph partitioning: Applications in VLSI domain
George Karypis, Rajat Aggarwal, Vipin Kumar, and Shashi Shekhar · 1999
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Topological persistence and simplification
Herbert Edelsbrunner, David Letscher, and Afra Zomorodian · 2000
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Models of core/periphery structures
Stephen P Borgatti and Martin G Everett · 2000
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Connectivity of growing random networks
Paul L Krapivsky, Sidney Redner, and Francois Leyvraz · 2000
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The sound of many hands clapping
Zoltán Néda, Erzsébet Ravasz, Yves Brechet, Tamás Vicsek, and A-L Barabási · 2000
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The mathematics of infectious diseases
Herbert W Hethcote · 2000
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Mixing beliefs among interacting agents
Guillaume Deffuant, David Neau, Frederic Amblard, and Gérard Weisbuch · 2000
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Random replicators with high-order interactions
Viviane M. de Oliveira and J. F. Fontanari · 2000
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Random graphs with arbitrary degree distributions and their applications
Mark E. J. Newman, Steven H. Strogatz, and Duncan J. Watts · 2001
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Birds of a feather: Homophily in social networks
Miller McPherson, Lynn Smith-Lovin, and James M Cook · 2001
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Size functions from a categorical viewpoint
Francesca Cagliari, Massimo Ferri, and Paola Pozzi · 2001
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Theoretical neuroscience: Computational and mathematical modeling of neural systems
Peter Dayan, Laurence F Abbott, and L Abbott · 2001
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Detecting direction of coupling in interacting oscillators
Michael G. Rosenblum and Arkady S. Pikovsky · 2001
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Epidemic spreading in scale-free networks
Romualdo Pastor-Satorras and Alessandro Vespignani · 2001
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Statistical mechanics of complex networks
Réka Albert and Albert-László Barabási · 2002
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Evolution of networks
S. N. Dorogovtsev and J. F. F. Mendes · 2002
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Random graph models of social networks
M. E. J Newman, Duncan J Watts, and Steven H Strogatz · 2002
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Network motifs: Simple building blocks of complex networks
Ron Milo, Shai Shen-Orr, Shalev Itzkovitz, Nadav Kashtan, Dmitri Chklovskii, and Uri Alon · 2002
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Network motifs in the transcriptional regulation network of Escherichia coli
Shai S Shen-Orr, Ron Milo, Shmoolik Mangan, and Uri Alon · 2002
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Algebraic topology
A. Hatcherr · 2002
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Combinatorial Laplacians of simplicial complexes
Timothy E Goldberg · 2002
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Shifted simplicial complexes are Laplacian integral
Art Duval and Victor Reiner · 2002
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General formalism for inhomogeneous random graphs
Bo Söderberg · 2002
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Scaling and statistical models for affiliation networks: Patterns of participation among Soviet politicians during the Brezhnev era
Katherine Faust, Karin E Willert, David D Rowlee, and John Skvoretz · 2002
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Markov chain Monte Carlo estimation of exponential random graph models
Tom AB Snijders · 2002
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Neighborhood-based models for social networks
Philippa Pattison and Garry Robins · 2002
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Identity and search in social networks
Duncan J Watts, Peter Sheridan Dodds, and M. E. J Newman · 2002
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Connected components in random graphs with given expected degree sequences
Fan Chung and Linyuan Lu · 2002
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Human sexual contact network as a bipartite graph
Güler Ergün · 2002
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Reversible Markov chains and random walks on graphs
David Aldous and Jim Fill · 2002
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The synchronization of chaotic systems
S. Boccaletti, J. Kurths, G. Osipov, D.L. Valladares, and C.S. Zhou · 2002
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Synchronization in small-world systems
Mauricio Barahona and Louis M Pecora · 2002
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Spiking Neuron Models: Single Neurons, Populations, Plasticity
Wulfram Gerstner and Werner M Kistler · 2002
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Community structure in social and biological networks
Michelle Girvan and M. E. J Newman · 2002
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Minority opinion spreading in random geometry
Serge Galam · 2002
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A simple model of global cascades on random networks
Duncan J Watts · 2002
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Large-dimensional replicator equations with antisymmetric random interactions
Tsuyoshi Chawanya and Kei Tokita · 2002
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Phase transitions and volunteering in spatial public goods games
György Szabó and Christoph Hauert · 2002
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Local dispersal promotes biodiversity in a real-life game of rock–paper–scissors
Benjamin Kerr, Margaret A Riley, Marcus W Feldman, and Brendan JM Bohannan · 2002
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Life’s complexity pyramid
Zoltán N Oltvai and Albert-László Barabási · 2002
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Biological networks: The tinkerer as an engineer
Uri Alon · 2003
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On the Laplacian spectrum and walk-regular hypergraphs
Juan Alberto Rodriguez · 2003
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Number of loops of size h in growing scale-free networks
Ginestra Bianconi and Andrea Capocci · 2003
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Statistical models for social networks: Inference and degeneracy
Mark S Handcock · 2003
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Latent dirichlet allocation
David M Blei, Andrew Y Ng, and Michael I Jordan · 2003
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Biclustering microarray data by Gibbs sampling
Qizheng Sheng, Yves Moreau, and Bart De Moor · 2003
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Random Geometric Graphs , volume 5
Mathew Penrose et al · 2003
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Two models of random intersection graphs for classification
Erhard Godehardt and Jerzy Jaworski · 2003
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Synchronization: A Universal Concept in Nonlinear Sciences , volume 12
A. Pikovsky, M. Rosenblum, and J. Kurths · 2003
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Why social networks are different from other types of networks
M. E. J Newman and Juyong Park · 2003
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Small-world effects in the majority-vote model
Paulo RA Campos, Viviane M de Oliveira, and FG Brady Moreira · 2003
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Punishment and reputation in spatial public goods games
Hannelore Brandt, Christoph Hauert, and Karl Sigmund · 2003
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Structure and function of the feed-forward loop network motif
S. Mangan and U. Alon · 2003
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Network information and connected correlations
Elad Schneidman, Susanne Still, Michael J Berry, William Bialek, et al · 2003
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Evolutionary game dynamics
Josef Hofbauer and Karl Sigmund · 2003
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Bipartite structure of all complex networks
Jean-Loup Guillaume and Matthieu Latapy · 2004
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Deeper inside pagerank
Amy N Langville and Carl D Meyer · 2004
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Hyper-edges and multidimensional centrality
Phillip Bonacich, Annie Cody Holdren, and Michael Johnston · 2004
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Small worlds among interlocking directors: Network structure and distance in bipartite graphs
Garry Robins and Malcolm Alexander · 2004
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Choices of theatre events: P* models for affiliation networks with attributes
Filip Agneessens, Henk Roose, and Hans Waege · 2004
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Generalized blockmodeling of two-mode network data
Patrick Doreian, Vladimir Batagelj, and Anuška Ferligoj · 2004
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Finding and evaluating community structure in networks
Mark EJ Newman and Michelle Girvan · 2004
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Self-organization of collaboration networks
José J Ramasco, Sergey N Dorogovtsev, and Romualdo Pastor-Satorras · 2004
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A simple model for self-organization of bipartite networks
Kim Sneppen, Martin Rosvall, Ala Trusina, and Petter Minnhagen · 2004
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Sync: The Emerging Science of Spontaneous Order
S. H. Strogatz · 2004
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Chimera states for coupled oscillators
Daniel M Abrams and Steven H Strogatz · 2004
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Fitness for synchronization of network motifs
Yamir Moreno Vega, Miguel Vázquez-Prada, and Amalio F Pacheco · 2004
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Sis epidemics with household structure: the self-consistent field method
G Ghoshal, LM Sander, and IM Sokolov · 2004
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Universal scaling behavior of non-equilibrium phase transitions
Sven Lübeck · 2004
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Dynamics of rumor spreading in complex networks
Yamir Moreno, Maziar Nekovee, and Amalio F Pacheco · 2004
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Conservation laws for the voter model in complex networks
Krzysztof Suchecki, Victor M Eguiluz, and Maxi San Miguel · 2004
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Rock-scissors-paper game on regular small-world networks
György Szabó, Attila Szolnoki, and Rudolf Izsák · 2004
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Spatial structure often inhibits the evolution of cooperation in the snowdrift game
Christoph Hauert and Michael Doebeli · 2004
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Competition hypergraphs
Martin Sonntag and Hanns-Martin Teichert · 2004
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Evolutionary dynamics of biological games
Martin A Nowak and Karl Sigmund · 2004
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Modeling interactome: scale-free or geometric?
Natasa Pržulj, Derek G Corneil, and Igor Jurisica · 2004
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Spontaneous evolution of modularity and network motifs
Nadav Kashtan and Uri Alon · 2005
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Uncovering the overlapping community structure of complex networks in nature and society
Gergely Palla, Imre Derényi, Illés Farkas, and Tamás Vicsek · 2005
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Clique percolation in random networks
Imre Derényi, Gergely Palla, and Tamás Vicsek · 2005
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Complex networks as hypergraphs
Ernesto Estrada and Juan A Rodríguez-Velázquez · 2005
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Computing persistent homology
Afra Zomorodian and Gunnar Carlsson · 2005
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Loops of any size and hamilton cycles in random scale-free networks
Ginestra Bianconi and Matteo Marsili · 2005
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Tuning clustering in random networks with arbitrary degree distributions
M Angeles Serrano and Marián Boguná · 2005
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Structure of large random hypergraphs
Richard WR Darling, James R Norris, et al · 2005
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Realistic, mathematically tractable graph generation and evolution, using kronecker multiplication
Jurij Leskovec, Deepayan Chakrabarti, Jon Kleinberg, and Christos Faloutsos · 2005
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Preferential attachment of communities: The same principle, but a higher level
Peter Pollner, Gergely Palla, and Tamas Vicsek · 2005
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The Kuramoto model: A simple paradigm for synchronization phenomena
Juan A Acebrón, Luis L Bonilla, Conrad J Pérez Vicente, Félix Ritort, and Renato Spigler · 2005
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Thermodynamic limit of the first-order phase transition in the Kuramoto model
Diego Pazó · 2005
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Synchronized clusters in coupled map networks. II. Stability analysis
RE Amritkar, Sarika Jalan, and Chin-Kun Hu · 2005
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Detection of weak directional coupling: Phase-Dynamics approach versus state-space approach
Dmitry A. Smirnov and Ralph G. Andrzejak · 2005
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Voter model dynamics in complex networks: Role of dimensionality, disorder, and degree distribution
Krzysztof Suchecki, Víctor M Eguíluz, and Maxi San Miguel · 2005
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Majority-vote model on random graphs
Luiz FC Pereira and FG Brady Moreira · 2005
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Economics and Social Interaction: Accounting for Interpersonal Relations
Benedetto Gui and Robert Sugden · 2005
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Scale-free networks provide a unifying framework for the emergence of cooperation
Francisco C Santos and Jorge M Pacheco · 2005
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Deception: The role of consequences
Uri Gneezy · 2005
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Experimental evidence rejects pairwise modelling approach to coexistence in plant communities
Carsten F Dormann and Stephen H Roxburgh · 2005
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Complex networks : Structure and dynamics
S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D-U. Hwang · 2006
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Ecological networks and their fragility
José M Montoya, Stuart L Pimm, and Ricard V Solé · 2006
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Bipartite graphs as models of complex networks
Jean-Loup Guillaume and Matthieu Latapy · 2006
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Systematic topology analysis and generation using degree correlations
Priya Mahadevan, Dmitri Krioukov, Kevin Fall, and Amin Vahdat · 2006
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Control using higher order Laplacians in network topologies
Abubakr Muhammad and Magnus Egerstedt · 2006
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Subgraph centrality and clustering in complex hyper-networks
Ernesto Estrada and Juan A Rodríguez-Velázquez · 2006
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Modularity and community structure in networks
M. E. J Newman · 2006
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Emergence of large cliques in random scale-free networks
Ginestra Bianconi and Matteo Marsili · 2006
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New specifications for exponential random graph models
Tom AB Snijders, Philippa E Pattison, Garry L Robins, and Mark S Handcock · 2006
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Homological connectivity of random 2-complexes
Nathan Linial and Roy Meshulam · 2006
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Higher order learning with graphs
Sameer Agarwal, Kristin Branson, and Serge Belongie · 2006
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Numbers and beyond: The relevance of critical mass in gender research
Sandra Grey · 2006
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An experimental study of the coloring problem on human subject networks
Michael Kearns, Siddharth Suri, and Nick Montfort · 2006
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Majority-vote on directed Barabasi–Albert networks
FWS Lima · 2006
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Five rules for the evolution of cooperation
Martin A Nowak · 2006
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Sharp transition towards shared vocabularies in multi-agent systems
Andrea Baronchelli, Maddalena Felici, Vittorio Loreto, Emanuele Caglioti, and Luc Steels · 2006
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Weak pairwise correlations imply strongly correlated network states in a neural population
Elad Schneidman, Michael J Berry II, Ronen Segev, and William Bialek · 2006
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Graph-based methods for analysing networks in cell biology
Tero Aittokallio and Benno Schwikowski · 2006
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Module identification in bipartite and directed networks
Roger Guimerà, Marta Sales-Pardo, and Luís A Nunes Amaral · 2007
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Network motifs: Theory and experimental approaches
Uri Alon · 2007
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Spatial topology and its structural analysis based on the concept of simplicial complex
Bin Jiang and Itzhak Omer · 2007
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An introduction to exponential random graph (p*) models for social networks
Garry Robins, Pip Pattison, Yuval Kalish, and Dean Lusher · 2007
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On analytical approaches to epidemics on networks
Pieter Trapman · 2007
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Exact solutions for network rewiring models
TS Evans · 2007
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Exact solution for the time evolution of network rewiring models
TS Evans and ADK Plato · 2007
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Self-organized quasiperiodicity in oscillator ensembles with global nonlinear coupling
Michael Rosenblum and Arkady Pikovsky · 2007
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Synchronization properties of network motifs
Ivano Lodato, Stefano Boccaletti, and Vito Latora · 2007
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Network synchronization of groups
Francesco Sorrentino and Edward Ott · 2007
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Partial Mutual Information for Coupling Analysis of Multivariate Time Series
Stefan Frenzel and Bernd Pompe · 2007
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Complex contagions and the weakness of long ties
Damon Centola and Michael Macy · 2007
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Majority-vote on directed small-world networks
Edina MS Luz and FWS Lima · 2007
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