Exploring complex networks

Emergence of Scaling in Random Networks

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Social Network Analysis: Methods and Applications

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Error and attack tolerance of complex networks

Albert, R., Jeong, H., & Barabási, A.-L. (2000) · Nature · doi:10.1038/35019019 · Cited by 7,534

The Geometry of Biological Time

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Classes of small-world networks

Amaral, L. A. N., Scala, A., Barthélémy, M., & Stanley, H. E. (2000) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.200327197 · Cited by 3,051

The Fourth Dimension of Life: Fractal Geometry and Allometric Scaling of Organisms

West, G. B., Brown, J. H., & Enquist, B. J. (1999) · Science · doi:10.1126/science.284.5420.1677 · Cited by 1,718

Fundamentals of synchronization in chaotic systems, concepts, and applications

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The effects of local spatial structure on epidemiological invasions

Keeling, M. J. (1999) · Proceedings of the Royal Society of London. Series B: Biological Sciences · doi:10.1098/rspb.1999.0716 · Cited by 798

Statistical mechanics of complex networks

Albert, R., & Barabási, A.-L. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.47 · Cited by 20,471

The Structure and Function of Complex Networks

Newman, M. E. J. (2003) · SIAM Review · doi:10.1137/s003614450342480 · Cited by 18,719

Community structure in social and biological networks

Girvan, M., & Newman, M. E. J. (2002) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.122653799 · Cited by 15,502

Finding and evaluating community structure in networks

Newman, M. E. J., & Girvan, M. (2004) · Physical Review E · doi:10.1103/physreve.69.026113 · Cited by 13,931

Consensus Problems in Networks of Agents With Switching Topology and Time-Delays

Olfati-Saber, R., & Murray, R. M. (2004) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.834113 · Cited by 12,788

Complex brain networks: graph theoretical analysis of structural and functional systems

Bullmore, E., & Sporns, O. (2009) · Nature Reviews Neuroscience · doi:10.1038/nrn2575 · Cited by 11,820

Complex network measures of brain connectivity: Uses and interpretations

Rubinov, M., & Sporns, O. (2010) · NeuroImage · doi:10.1016/j.neuroimage.2009.10.003 · Cited by 11,522

Complex networks: structure and dynamics

BOCCALETTI, S., LATORA, V, MORENO, Y., CHAVEZ, M., & HWANG, D. (2006) · Physics Reports · doi:10.1016/j.physrep.2005.10.009 · Cited by 11,010

Network biology: understanding the cell's functional organization

Barabási, A.-L., & Oltvai, Z. N. (2004) · Nature Reviews Genetics · doi:10.1038/nrg1272 · Cited by 7,903

Finding community structure in very large networks

Clauset, A., Newman, M. E. J., & Moore, C. (2004) · Physical Review E · doi:10.1103/physreve.70.066111 · Cited by 7,390

Network motifs: simple building blocks of complex networks.

Milo, R., Shen-Orr, S., Itzkovitz, S., Kashtan, N., Chklovskii, D., & Alon, U. (2002) · Science · doi:10.1126/science.298.5594.824 · Cited by 7,368

Neuronal Oscillations in Cortical Networks

Buzsáki, G., & Draguhn, A. (2004) · Science · doi:10.1126/science.1099745 · Cited by 6,576

Synchronization in complex networks

Arenas, A., Díaz-Guilera, A., Kurths, J., Moreno, Y., & Zhou, C. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.09.002 · Cited by 3,713

The human microbiome: at the interface of health and disease

Cho, I., & Blaser, M. J. (2012) · Nature Reviews Genetics · doi:10.1038/nrg3182 · Cited by 3,449

An Expanded View of Complex Traits: From Polygenic to Omnigenic

Boyle, E. A., Li, Y. I., & Pritchard, J. K. (2017) · Cell · doi:10.1016/j.cell.2017.05.038 · Cited by 2,851

The structure and dynamics of multilayer networks

Boccaletti, S., Bianconi, G., Criado, R., del Genio, C. I., Gómez-Gardeñes, J., Romance, M., Sendiña-Nadal, I., Wang, Z., & Zanin, M. (2014) · Physics Reports · doi:10.1016/j.physrep.2014.07.001 · Cited by 3,125

A simple model of global cascades on random networks

Watts, D. J. (2002) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.082090499 · Cited by 2,673

The spread of behavior in an online social network experiment

Centola, D. (2010) · Science · doi:10.1126/science.1185231 · Cited by 2,692

Efficiency and Cost of Economical Brain Functional Networks

Achard, S., & Bullmore, E. (2007) · PLoS Computational Biology · doi:10.1371/journal.pcbi.0030017 · Cited by 2,553

A Resilient, Low-Frequency, Small-World Human Brain Functional Network with Highly Connected Association Cortical Hubs

Achard, S., Salvador, R., Whitcher, B., Suckling, J., & Bullmore, E. (2006) · The Journal of Neuroscience · doi:10.1523/jneurosci.3874-05.2006 · Cited by 2,393

Critical phenomena in complex networks

Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1275 · Cited by 2,220

Organization, development and function of complex brain networks

SPORNS, O., CHIALVO, D., KAISER, M., & HILGETAG, C. (2004) · Trends in Cognitive Sciences · doi:10.1016/j.tics.2004.07.008 · Cited by 2,055

Synaptic mechanisms of synchronized gamma oscillations in inhibitory interneuron networks

Bartos, M., Vida, I., & Jonas, P. (2007) · Nature Reviews Neuroscience · doi:10.1038/nrn2044 · Cited by 2,070

Cascade-based attacks on complex networks

Motter, A. E., & Lai, Y.-C. (2002) · Physical Review E · doi:10.1103/physreve.66.065102 · Cited by 1,929

Comorbidity: a network perspective

Cramer, A. O. J., Waldorp, L. J., van der Maas, H. L. J., & Borsboom, D. (2010) · Behavioral and Brain Sciences · doi:10.1017/s0140525x09991567 · Cited by 1,575

Highly nonrandom features of synaptic connectivity in local cortical circuits

Song, S., Sjöström, P. J., Reigl, M., Nelson, S., & Chklovskii, D. B. (2005) · PLoS Biology · doi:10.1371/journal.pbio.0030068 · Cited by 1,512

The Systems View of Life: A Unifying Vision

Capra, F., & Luisi, P. L. (2014) · doi:10.1017/cbo9780511895555 · Cited by 1,347

Contagion in financial networks

Gai, P., & Kapadia, S. (2010) · Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.2009.0410 · Cited by 1,163

Network Analysis of Intrinsic Functional Brain Connectivity in Alzheimer's Disease

Supekar, K., Menon, V., Rubin, D., Musen, M., & Greicius, M. D. (2008) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1000100 · Cited by 1,148

Mapping anatomical connectivity patterns of human cerebral cortex using in vivo diffusion tensor imaging tractography

Gong, G., He, Y., Concha, L., Lebel, C., Gross, D. W., Evans, A. C., & Beaulieu, C. (2009) · Cerebral Cortex · doi:10.1093/cercor/bhn102 · Cited by 1,112

Structural Insights into Aberrant Topological Patterns of Large-Scale Cortical Networks in Alzheimer's Disease

He, Y., Chen, Z., & Evans, A. (2008) · The Journal of Neuroscience · doi:10.1523/jneurosci.0141-08.2008 · Cited by 965

Review: Ecological networks – beyond food webs

Ings, T. C., Montoya, J. M., Bascompte, J., Blüthgen, N., Brown, L., Dormann, C. F., Edwards, F., Figueroa, D., Jacob, U., Jones, J. I., et al. (2009) · Journal of Animal Ecology · doi:10.1111/j.1365-2656.2008.01460.x · Cited by 934

Effects of missing data in social networks

Kossinets, G. (2006) · Social Networks · doi:10.1016/j.socnet.2005.07.002 · Cited by 926

Collective Animal Behavior

Sumpter, D. J. T. (2010) · doi:10.1515/9781400837106 · Cited by 914

Structural Properties of the Caenorhabditis elegans Neuronal Network

Varshney, L. R., Chen, B. L., Paniagua, E., Hall, D. H., & Chklovskii, D. B. (2011) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1001066 · Cited by 867

The Network of Global Corporate Control

Vitali, S., Glattfelder, J. B., & Battiston, S. (2011) · PLoS ONE · doi:10.1371/journal.pone.0025995 · Cited by 827

Development of large-scale functional brain networks in children

Supekar, K., Musen, M., & Menon, V. (2009) · PLoS Biology · doi:10.1371/journal.pbio.1000157 · Cited by 807

Metabolic network structure determines key aspects of functionality and regulation

Stelling, J., Klamt, S., Bettenbrock, K., Schuster, S., & Gilles, E. D. (2002) · Nature · doi:10.1038/nature01166 · Cited by 802

Scale-Free Networks from Varying Vertex Intrinsic Fitness

Caldarelli, G., Capocci, A., De Los Rios, P., & Muñoz, M. A. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.258702 · Cited by 794

Automated reverse engineering of nonlinear dynamical systems

Bongard, J., & Lipson, H. (2007) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0609476104 · Cited by 792

Cell Fates as High-Dimensional Attractor States of a Complex Gene Regulatory Network

Huang, S., Eichler, G., Bar-Yam, Y., & Ingber, D. E. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.128701 · Cited by 775

The network analysis of urban streets: A dual approach

Porta, S., Crucitti, P., & Latora, V. (2006) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/j.physa.2005.12.063 · Cited by 749

Graph analysis of the human connectome: Promise, progress, and pitfalls

Fornito, A., Zalesky, A., & Breakspear, M. (2013) · NeuroImage · doi:10.1016/j.neuroimage.2013.04.087 · Cited by 743

Communicability in complex networks

Estrada, E., & Hatano, N. (2008) · Physical Review E · doi:10.1103/physreve.77.036111 · Cited by 719

Large-scale topological and dynamical properties of the Internet

Vázquez, A., Pastor-Satorras, R., & Vespignani, A. (2002) · Physical Review E · doi:10.1103/physreve.65.066130 · Cited by 712

Biological networks: the tinkerer as an engineer

Alon, U. (2003) · Science · doi:10.1126/science.1089072 · Cited by 706

Glial responses to implanted electrodes in the brain

Salatino, J. W., Ludwig, K. A., Kozai, T. D. Y., & Purcell, E. K. (2017) · Nature Biomedical Engineering · doi:10.1038/s41551-017-0154-1 · Cited by 642

Loss of ‘Small-World’ Networks in Alzheimer's Disease: Graph Analysis of fMRI Resting-State Functional Connectivity

Sanz-Arigita, E. J., Schoonheim, M. M., Damoiseaux, J. S., Rombouts, S. A. R. B., Maris, E., Barkhof, F., Scheltens, P., & Stam, C. J. (2010) · PLoS ONE · doi:10.1371/journal.pone.0013788 · Cited by 608

Brain Anatomical Network and Intelligence

Li, Y., Liu, Y., Li, J., Qin, W., Li, K., Yu, C., & Jiang, T. (2009) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1000395 · Cited by 597

A common currency for the different ways in which patches and links can contribute to habitat availability and connectivity in the landscape

Saura, S., & Rubio, L. (2010) · Ecography · doi:10.1111/j.1600-0587.2009.05760.x · Cited by 558

Pseudofractal scale-free web

Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2002) · Physical Review E · doi:10.1103/physreve.65.066122 · Cited by 540

Evolutionary dynamics on any population structure

Allen, B., Lippner, G., Chen, Y.-T., Fotouhi, B., Momeni, N., Yau, S.-T., & Nowak, M. A. (2017) · Nature · doi:10.1038/nature21723 · Cited by 534

Graph models of habitat mosaics

Urban, D. L., Minor, E. S., Treml, E. A., & Schick, R. S. (2009) · Ecology Letters · doi:10.1111/j.1461-0248.2008.01271.x · Cited by 539

Scalable training of artificial neural networks with adaptive sparse connectivity inspired by network science

Mocanu, D. C., Mocanu, E., Stone, P., Nguyen, P. H., Gibescu, M., & Liotta, A. (2018) · Nature Communications · doi:10.1038/s41467-018-04316-3 · Cited by 524

Projections from neocortex mediate top-down control of memory retrieval

Rajasethupathy, P., Sankaran, S., Marshel, J. H., Kim, C. K., Ferenczi, E., Lee, S. Y., Berndt, A., Ramakrishnan, C., Jaffe, A., Lo, M., et al. (2015) · Nature · doi:10.1038/nature15389 · Cited by 509

Studying the human brain anatomical network via diffusion-weighted MRI and graph theory

Iturria-Medina, Y., Sotero, R. C., Canales-Rodríguez, E. J., Alemán-Gómez, Y., & Melie-García, L. (2008) · NeuroImage · doi:10.1016/j.neuroimage.2007.10.060 · Cited by 506

Networks of anatomical covariance

Evans, A. C. (2013) · NeuroImage · doi:10.1016/j.neuroimage.2013.05.054 · Cited by 429

Heart-Rate Variability—More than Heart Beats?

Ernst, G. (2017) · Frontiers in Public Health · doi:10.3389/fpubh.2017.00240 · Cited by 416

Telomere shortening rate predicts species life span

Whittemore, K., Vera, E., Martínez-Nevado, E., Sanpera, C., & Blasco, M. A. (2019) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1902452116 · Cited by 373

The architecture of the climate network

Tsonis, A. A., & Roebber, P. J. (2004) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/j.physa.2003.10.045 · Cited by 355

Using graph theoretical analysis of multi channel EEG to evaluate the neural efficiency hypothesis

Micheloyannis, S., Pachou, E., Stam, C. J., Vourkas, M., Erimaki, S., & Tsirka, V. (2006) · Neuroscience Letters · doi:10.1016/j.neulet.2006.04.006 · Cited by 277

Disturbed functional connectivity in brain tumour patients: Evaluation by graph analysis of synchronization matrices

Bartolomei, F., Bosma, I., Klein, M., Baayen, J. C., Reijneveld, J. C., Postma, T. J., Heimans, J. J., van Dijk, B. W., de Munck, J. C., de Jongh, A., et al. (2006) · Clinical Neurophysiology · doi:10.1016/j.clinph.2006.05.018 · Cited by 276

Maximal planar networks with large clustering coefficient and power-law degree distribution

Zhou, T., Yan, G., & Wang, B.-H. (2005) · Physical Review E · doi:10.1103/physreve.71.046141 · Cited by 265

From Graphs to Spatial Graphs

Dale, M. R. T., & Fortin, M.-J. (2010) · Annual Review of Ecology, Evolution, and Systematics · doi:10.1146/annurev-ecolsys-102209-144718 · Cited by 265

Simulation of robustness against lesions of cortical networks

Kaiser, M., Martin, R., Andras, P., & Young, M. P. (2007) · European Journal of Neuroscience · doi:10.1111/j.1460-9568.2007.05574.x · Cited by 244

Disrupted Small-World Brain Networks in Moderate Alzheimer's Disease: A Resting-State fMRI Study

Zhao, X., Liu, Y., Wang, X., Liu, B., Xi, Q., Guo, Q., Jiang, H., Jiang, T., & Wang, P. (2012) · PLoS ONE · doi:10.1371/journal.pone.0033540 · Cited by 215

The contribution of geometry to the human connectome

Roberts, J. A., Perry, A., Lord, A. R., Roberts, G., Mitchell, P. B., Smith, R. E., Calamante, F., & Breakspear, M. (2016) · NeuroImage · doi:10.1016/j.neuroimage.2015.09.009 · Cited by 213

Approaching human language with complex networks

Cong, J., & Liu, H. (2014) · Physics of Life Reviews · doi:10.1016/j.plrev.2014.04.004 · Cited by 212

An approach to electrical modeling of single and multiple cells

Gowrishankar, T. R., & Weaver, J. C. (2003) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0636434100 · Cited by 204

Development Trends of White Matter Connectivity in the First Years of Life

Yap, P.-T., Fan, Y., Chen, Y., Gilmore, J. H., Lin, W., & Shen, D. (2011) · PLoS ONE · doi:10.1371/journal.pone.0024678 · Cited by 190

Cognitive flexibility through metastable neural dynamics is disrupted by damage to the structural connectome

Hellyer, P. J., Scott, G., Shanahan, M., Sharp, D. J., & Leech, R. (2015) · Journal of Neuroscience · doi:10.1523/jneurosci.4648-14.2015 · Cited by 187

Identification of optimal structural connectivity using functional connectivity and neural modeling

Deco, G., McIntosh, A. R., Shen, K., Hutchison, R. M., Menon, R. S., Everling, S., Hagmann, P., & Jirsa, V. K. (2014) · Journal of Neuroscience · doi:10.1523/jneurosci.4423-13.2014 · Cited by 162

Multimodal Functional Neuroimaging: Integrating Functional MRI and EEG/MEG

He, B., & Liu, Z. (2008) · IEEE Reviews in Biomedical Engineering · doi:10.1109/rbme.2008.2008233 · Cited by 171

Atomic water channel controlling remarkable properties of a single brain microtubule: Correlating single protein to its supramolecular assembly

Sahu, S., Ghosh, S., Ghosh, B., Aswani, K., Hirata, K., Fujita, D., & Bandyopadhyay, A. (2013) · Biosensors and Bioelectronics · doi:10.1016/j.bios.2013.02.050 · Cited by 172

Reconsideration of the Winner-Take-All Hypothesis: Complex Networks and Local Bias

Lee, E., Lee, J., & Lee, J. (2006) · Management Science · doi:10.1287/mnsc.1060.0571 · Cited by 157

Disturbed resting state eeg synchronization in bipolar disorder: A graph-theoretic analysis

Kim, D.-J., Bolbecker, A. R., Howell, J., Rass, O., Sporns, O., Hetrick, W. P., Breier, A., & O'Donnell, B. F. (2013) · NeuroImage Clinical · doi:10.1016/j.nicl.2013.03.007 · Cited by 141

Abnormal small-world architecture of top-down control networks in obsessive-compulsive disorder

Zhang, T. (2011) · Journal of Psychiatry & Neuroscience · doi:10.1503/jpn.100006 · Cited by 134

EEG source localization

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Gene-to-phenotype models and complex trait genetics

Cooper, M., Podlich, D. W., & Smith, O. S. (2005) · Australian Journal of Agricultural Research · doi:10.1071/ar05154 · Cited by 104

Sustained activity in hierarchical modular neural networks: self-organized criticality and oscillations

Wang (2011) · Frontiers in Computational Neuroscience · doi:10.3389/fncom.2011.00030 · Cited by 104

Systems biology of stem cells: three useful perspectives to help overcome the paradigm of linear pathways

Huang, S. (2011) · Philosophical Transactions of the Royal Society B: Biological Sciences · doi:10.1098/rstb.2011.0008 · Cited by 94

Classification of autism spectrum disorder using supervised learning of brain connectivity measures extracted from synchrostates

Jamal, W., Das, S., Oprescu, I.-A., Maharatna, K., Apicella, F., & Sicca, F. (2014) · Journal of Neural Engineering · doi:10.1088/1741-2560/11/4/046019 · Cited by 93

Network analysis reveals disrupted functional brain circuitry in drug-naive social anxiety disorder

Yang, X., Liu, J., Meng, Y., Xia, M., Cui, Z., Wu, X., Hu, X., Zhang, W., Gong, G., Gong, Q., et al. (2019) · NeuroImage · doi:10.1016/j.neuroimage.2017.12.011 · Cited by 91

Pulsatility of insulin release – a clinically important phenomenon

Hellman, B. (2009) · Upsala Journal of Medical Sciences · doi:10.3109/03009730903366075 · Cited by 77

Graph theoretical analysis of developmental patterns of the white matter network

Chen, Z., Liu, M., Gross, D. W., & Beaulieu, C. (2013) · Frontiers in Human Neuroscience · doi:10.3389/fnhum.2013.00716 · Cited by 77

Visual analytics for supply network management: System design and evaluation

Park, H., Bellamy, M. A., & Basole, R. C. (2016) · Decision Support Systems · doi:10.1016/j.dss.2016.08.003 · Cited by 77

Altered topology of the functional speech production network in non-fluent/agrammatic variant of PPA

Mandelli, M. L., Welch, A. E., Vilaplana, E., Watson, C., Battistella, G., Brown, J. A., Possin, K. L., Hubbard, H. I., Miller, Z. A., Henry, M. L., et al. (2018) · Cortex · doi:10.1016/j.cortex.2018.08.002 · Cited by 67

Amplification of enantiomeric excess, mirror-image symmetry breaking and kinetic proofreading in Soai reaction models with different oligomeric orders

Micheau, J.-C., Coudret, C., Cruz, J.-M., & Buhse, T. (2012) · Physical Chemistry Chemical Physics · doi:10.1039/c2cp42041d · Cited by 62

neuroVIISAS: Approaching Multiscale Simulation of the Rat Connectome

Schmitt, O., & Eipert, P. (2012) · Neuroinformatics · doi:10.1007/s12021-012-9141-6 · Cited by 51

Networks and Hierarchies: Approaching Complexity in Evolutionary Theory

Tëmkin, I., & Eldredge, N. (2015) · Interdisciplinary Evolution Research · doi:10.1007/978-3-319-15045-1_6 · Cited by 49

Functional connectivity in the pharmacologically activated brain: Resolving networks of correlated responses to d‐amphetamine

Schwarz, A. J., Gozzi, A., Reese, T., & Bifone, A. (2007) · Magnetic Resonance in Medicine · doi:10.1002/mrm.21179 · Cited by 48

Quantum statistics in complex networks

Bianconi, G. (2002) · Physical Review E · doi:10.1103/physreve.66.056123 · Cited by 46

Geometric robustness theory and biological networks

AY, N., & KRAKAUER, D. (2006) · Theory in Biosciences · doi:10.1016/j.thbio.2006.06.002 · Cited by 45

Global Network Organization of the Fetal Functional Connectome

De Asis-Cruz, J., Andersen, N., Kapse, K., Khrisnamurthy, D., Quistorff, J., Lopez, C., Vezina, G., & Limperopoulos, C. (2021) · Cerebral Cortex · doi:10.1093/cercor/bhaa410 · Cited by 40

Networks of Networks: An Essay on Multi-Level Biological Organization

Uversky, V. N., & Giuliani, A. (2021) · Frontiers in Genetics · doi:10.3389/fgene.2021.706260 · Cited by 28

Synchronization of neuron population subject to steady DC electric field induced by magnetic stimulation

Yu, K., Wang, J., Deng, B., & Wei, X. (2013) · Cognitive Neurodynamics · doi:10.1007/s11571-012-9233-x · Cited by 17

Agitated ants: regulation and self-organization of incipient nest excavation via collisional cues

Avinery, R., Aina, K. O., Dyson, C. J., Kuan, H.-S., Betterton, M. D., Goodisman, M. A. D., & Goldman, D. I. (2023) · Journal of The Royal Society Interface · doi:10.1098/rsif.2022.0597 · Cited by 11

Scaling Large Language Model-based Multi-Agent Collaboration

Qian, C., Xie, Z., Wang, Y., Liu, W., Zhu, K., Xia, H., Dang, Y., Du, Z., Chen, W., Yang, C., et al. (2024) · arXiv · doi:10.48550/arxiv.2406.07155 · Cited by 8

Architecture of genome-wide transcriptional regulatory network reveals dynamic functions and evolutionary trajectories in Pseudomonas syringae

Sun, Y., Li, J., Huang, J., Li, S., Li, Y., Lu, B., & Deng, X. (2025) · eLife · doi:10.7554/elife.96172.3 · Cited by 6