On the public citation graph

Critical tipping point distinguishing two types of transitions in modular network structures

0 signed · 94 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1016/j.euroneuro.2012.10.010openalex-snapshot
Structure out of chaos: Functional brain network analysis with EEG, MEG, and functional MRI
inferredcites →https://doi.org/10.1016/j.physrep.2009.11.002openalex-snapshot
Community detection in graphs
inferredcites →https://doi.org/10.1016/j.tics.2011.03.006openalex-snapshot
Understanding complexity in the human brain
inferredcites →https://doi.org/10.1017/cbo9780511780356openalex-snapshot
Complex Networks
inferredcites →https://doi.org/10.1017/cbo9780511814068openalex-snapshot
Random Graphs
inferredcites →https://doi.org/10.1017/nws.2015.21openalex-snapshot
Robustness and modular structure in networks
inferredcites →https://doi.org/10.1038/nature02555openalex-snapshot
Evidence for dynamically organized modularity in the yeast protein–protein interaction network
inferredcites →https://doi.org/10.1038/nature08932openalex-snapshot
Catastrophic cascade of failures in interdependent networks
inferredcites →https://doi.org/10.1038/ncomms1705openalex-snapshot
Network physiology reveals relations between network topology and physiological function
inferredcites →https://doi.org/10.1038/nphys2180openalex-snapshot
Networks formed from interdependent networks
inferredcites →https://doi.org/10.1038/nrn3214openalex-snapshot
The economy of brain network organization
inferredcites →https://doi.org/10.1038/nrn3801openalex-snapshot
Modern network science of neurological disorders
inferredcites →https://doi.org/10.1038/srep02171openalex-snapshot
Global efficiency of local immunization on complex networks
inferredcites →https://doi.org/10.1063/1.4869983openalex-snapshot
Dynamics on modular networks with heterogeneous correlations
inferredcites →https://doi.org/10.1073/pnas.0407994102openalex-snapshot
The worldwide air transportation network: Anomalous centrality, community structure, and cities' global roles
inferredcites →https://doi.org/10.1073/pnas.0503610102openalex-snapshot
Spontaneous evolution of modularity and network motifs
inferredcites →https://doi.org/10.1073/pnas.0610172104openalex-snapshot
Growth, innovation, scaling, and the pace of life in cities
inferredcites →https://doi.org/10.1073/pnas.1106612109openalex-snapshot
A small world of weak ties provides optimal global integration of self-similar modules in functional brain networks
inferredcites →https://doi.org/10.1073/pnas.1110586109openalex-snapshot
Suppressing cascades of load in interdependent networks
inferredcites →https://doi.org/10.1073/pnas.122653799openalex-snapshot
Community structure in social and biological networks
inferredcites →https://doi.org/10.1073/pnas.2032324100openalex-snapshot
Protein complexes and functional modules in molecular networks
inferredcites →https://doi.org/10.1088/1367-2630/11/12/123018openalex-snapshot
Immunization of networks with community structure
inferredcites →https://doi.org/10.1093/acprof:oso/9780199206650.001.0001openalex-snapshot
Networks: An Introduction
inferredcites →https://doi.org/10.1093/acprof:oso/9780199211517.001.0001openalex-snapshot
Scale-Free Networks: Complex Webs in Nature and Technology
inferredcites →https://doi.org/10.1093/comnet/cnu016openalex-snapshot
Multilayer networks
inferredcites →https://doi.org/10.1103/physreve.64.026118openalex-snapshot
Random graphs with arbitrary degree distributions and their applications
inferredcites →https://doi.org/10.1103/physreve.67.026126openalex-snapshot
Mixing patterns in networks
inferredcites →https://doi.org/10.1103/physreve.74.066111openalex-snapshot
Cascade and breakdown in scale-free networks with community structure
inferredcites →https://doi.org/10.1103/physreve.77.046117openalex-snapshot
Cascades on correlated and modular random networks
inferredcites →https://doi.org/10.1103/physreve.88.062816openalex-snapshot
Percolation of a general network of networks
inferredcites →https://doi.org/10.1103/physrevlett.113.088701openalex-snapshot
Optimal Network Modularity for Information Diffusion
inferredcites →https://doi.org/10.1103/physrevlett.85.5468openalex-snapshot
Network Robustness and Fragility: Percolation on Random Graphs
inferredcites →https://doi.org/10.1103/physrevlett.90.148701openalex-snapshot
Modularity and Extreme Edges of the Internet
inferredcites →https://doi.org/10.1103/physrevlett.92.188701openalex-snapshot
Networks, Dynamics, and Modularity
inferredcites →https://doi.org/10.1103/revmodphys.74.47openalex-snapshot
Statistical mechanics of complex networks
inferredcites →https://doi.org/10.1126/science.286.5439.509openalex-snapshot
Emergence of Scaling in Random Networks
inferredcites →https://doi.org/10.1371/journal.pcbi.1000736openalex-snapshot
Dynamics and Control of Diseases in Networks with Community Structure
inferredcites →https://doi.org/10.1371/journal.pone.0001049openalex-snapshot
Identification and Classification of Hubs in Brain Networks
inferredcites →https://doi.org/10.1371/journal.pone.0005226openalex-snapshot
Uncovering Intrinsic Modular Organization of Spontaneous Brain Activity in Humans
inferredcites →https://doi.org/10.1371/journal.pone.0142824openalex-snapshot
Fast Fragmentation of Networks Using Module-Based Attacks
inferredcites →https://doi.org/10.3389/fnhum.2014.00511openalex-snapshot
Rigidity, chaos and integration: hemispheric interaction and individual differences in metaphor comprehension
inferredcites →https://doi.org/10.5860/choice.45-2648openalex-snapshot
Scale-free networks: complex webs in nature and technology

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.2341334openalex-extracted
inferred← citeshttps://doi.org/10.1007/978-3-031-05946-9_20openalex-snapshot
Spreading of Failures in Interdependent Networks
inferred← citeshttps://doi.org/10.1007/978-3-032-16719-4_6openalex-snapshot
Strong Communities Weaken the Better Connectivity Based on Large Holes
inferred← citeshttps://doi.org/10.1007/978-3-319-67798-9_20openalex-snapshot
Spreading of Failures in Interdependent Networks
inferred← citeshttps://doi.org/10.1007/978-3-319-76054-4_3openalex-snapshot
Investigating Creativity from a Semantic Network Perspective
inferred← citeshttps://doi.org/10.1007/s41109-021-00404-4openalex-snapshot
The structure and behaviour of hierarchical infrastructure networks
inferred← citeshttps://doi.org/10.1007/s41109-021-00426-yopenalex-snapshot
Modularity affects the robustness of scale-free model and real-world social networks under betweenness and degree-based node attack
inferred← citeshttps://doi.org/10.1016/j.chaos.2016.02.002openalex-snapshot
Recent advances on failure and recovery in networks of networks
inferred← citeshttps://doi.org/10.1016/j.chaos.2016.02.004openalex-snapshot
Disentangling bipartite and core-periphery structure in financial networks
inferred← citeshttps://doi.org/10.1016/j.chaos.2024.115176openalex-snapshot
Percolation behavior analysis on n-layer edge-coupled interdependent networks
inferred← citeshttps://doi.org/10.1016/j.cnsns.2021.105780openalex-snapshot
A Framework of Hierarchical Attacks to Network Controllability
inferred← citeshttps://doi.org/10.1016/j.crhy.2018.09.005openalex-snapshot
Robustness of spatial networks and networks of networks
inferred← citeshttps://doi.org/10.1016/j.ijdrr.2019.101266openalex-snapshot
Recent progress on cascading failures and recovery in interdependent networks
inferred← citeshttps://doi.org/10.1016/j.jai.2022.100004openalex-snapshot
Controllability robustness of complex networks
inferred← citeshttps://doi.org/10.1016/j.physa.2020.124822openalex-snapshot
Multiple phase transition in the non-symmetrical interdependent networks
inferred← citeshttps://doi.org/10.1016/j.physa.2021.126136openalex-snapshot
Percolation of edge-coupled interdependent networks
inferred← citeshttps://doi.org/10.1016/j.physa.2021.126796openalex-snapshot
Identifying early-warning indicators of onset of sudden collapse in networked infrastructure systems against sequential disruptions
inferred← citeshttps://doi.org/10.1016/j.physleta.2023.129063openalex-snapshot
Percolation behavior analysis of weighted edge-coupled interdependent networks
inferred← citeshttps://doi.org/10.1016/j.physrep.2020.12.003openalex-snapshot
Percolation on complex networks: Theory and application
inferred← citeshttps://doi.org/10.1017/9781009168076openalex-snapshot
Percolation in Spatial Networks
inferred← citeshttps://doi.org/10.1038/ncomms14416openalex-snapshot
Pathways towards instability in financial networks
inferred← citeshttps://doi.org/10.1038/s41598-025-17794-5openalex-snapshot
Universal vulnerability in strong modular networks with various degree distributions from inequality to equality
inferred← citeshttps://doi.org/10.1038/s42005-019-0144-6openalex-snapshot
Extreme risk induced by communities in interdependent networks
inferred← citeshttps://doi.org/10.1039/d0nh00693aopenalex-snapshot
Nanowire networks: how does small-world character evolve with dimensionality?
inferred← citeshttps://doi.org/10.1063/1.5093077openalex-snapshot
Eradicating abrupt collapse on single network with dependency groups
inferred← citeshttps://doi.org/10.1063/5.0091342openalex-snapshot
Group percolation in interdependent networks with reinforcement network layer
inferred← citeshttps://doi.org/10.1073/pnas.1922831118openalex-snapshot
Optimal resilience of modular interacting networks
inferred← citeshttps://doi.org/10.1088/1367-2630/17/12/123007openalex-snapshot
Resilience of networks formed of interdependent modular networks
inferred← citeshttps://doi.org/10.1088/1367-2630/aabe5fopenalex-snapshot
Critical field-exponents for secure message-passing in modular networks
inferred← citeshttps://doi.org/10.1088/1367-2630/aadcebopenalex-snapshot
Structural resilience of spatial networks with inter-links behaving as an external field
inferred← citeshttps://doi.org/10.1093/comnet/cnad029openalex-snapshot
Improving mean-field network percolation models with neighbourhood information
inferred← citeshttps://doi.org/10.1093/comnet/cnu016openalex-snapshot
Multilayer networks
inferred← citeshttps://doi.org/10.1093/comnet/cnx015openalex-snapshot
Performance of attack strategies on modular networks
inferred← citeshttps://doi.org/10.1093/nar/gkac452openalex-snapshot
Detecting critical transition signals from single-cell transcriptomes to infer lineage-determining transcription factors
inferred← citeshttps://doi.org/10.1101/668442openalex-snapshot
Tipping-point analysis uncovers critical transition signals from gene expression profiles
inferred← citeshttps://doi.org/10.1103/physreve.98.052305openalex-snapshot
Percolation of hierarchical networks and networks of networks
inferred← citeshttps://doi.org/10.1103/physreve.99.042302openalex-snapshot
Fragility and anomalous susceptibility of weakly interacting networks
inferred← citeshttps://doi.org/10.1109/mcas.2023.3236659openalex-snapshot
Structural Robustness of Complex Networks: A Survey of A Posteriori Measures [Feature]
inferred← citeshttps://doi.org/10.1109/tnse.2021.3107186openalex-snapshot
A Convolutional Neural Network Approach to Predicting Network Connectedness Robustness
inferred← citeshttps://doi.org/10.1137/19m1290607openalex-snapshot
Generalized K-Core Percolation in Networks with Community Structure
inferred← citeshttps://doi.org/10.1142/s0217984917500890openalex-snapshot
Vulnerability analysis of interdependent spatially embedded infrastructure networks under localized attack
inferred← citeshttps://doi.org/10.1155/2019/2108423openalex-snapshot
Cognitive Network Science: A Review of Research on Cognition through the Lens of Network Representations, Processes, and Dynamics
inferred← citeshttps://doi.org/10.1209/0295-5075/ac57ebopenalex-snapshot
Optimization of robustness based on reinforced nodes in a modular network
inferred← citeshttps://doi.org/10.1209/0295-5075/adad95openalex-snapshot
Toward robust network controllability: Insights and future directions
inferred← citeshttps://doi.org/10.1371/journal.pone.0167781openalex-snapshot
Discovering SIFIs in Interbank Communities
inferred← citeshttps://doi.org/10.1371/journal.pone.0203894openalex-snapshot
Resilience of and recovery strategies for weighted networks
inferred← citeshttps://doi.org/10.1371/journal.pone.0301269openalex-snapshot
Anti-modularization for both high robustness and efficiency including the optimal case
inferred← citeshttps://doi.org/10.1371/journal.pone.0327203openalex-snapshot
Vulnerable connectivity caused by local communities in spatial networks
inferred← citeshttps://doi.org/10.3389/fphy.2021.800860openalex-snapshot
Motif Transition Intensity: A Novel Network-Based Early Warning Indicator for Financial Crises
inferred← citeshttps://doi.org/10.3390/brainsci13020188openalex-snapshot
The Resilience of the Phonological Network May Have Implications for Developmental and Acquired Disorders
inferred← citeshttps://doi.org/10.3390/e25060945openalex-snapshot
Influence of Removing Leaf Node Neighbors on Network Controllability
inferred← citeshttps://doi.org/10.3849/1802-7199.26.2026.01.65-86openalex-snapshot
Self-Organised Criticality in Asymmetric Defence
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.