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Random graphs containing arbitrary distributions of subgraphs

https://doi.org/10.1103/physreve.82.066118
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What this work says

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

inferredcites →https://doi.org/10.1002/rsa.3240060204openalex-snapshot
A critical point for random graphs with a given degree sequence
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Combinatorics and Graph Theory
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Cycle distributions in random nets
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On the critical behavior of the general epidemic process and dynamical percolation
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Journal of the Royal Statistical Society (B)
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Networks of strong ties
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Random Geometric Graphs
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Collective dynamics of ‘small-world’ networks
inferredcites →https://doi.org/10.1038/nature06830openalex-snapshot
Hierarchical structure and the prediction of missing links in networks
inferredcites →https://doi.org/10.1093/acprof:oso/9780198506263.001.0001openalex-snapshot
Random Geometric Graphs
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.66.016128openalex-snapshot
Spread of epidemic disease on networks
inferredcites →https://doi.org/10.1103/physreve.68.026121openalex-snapshot
Properties of highly clustered networks
inferredcites →https://doi.org/10.1103/physreve.71.066116openalex-snapshot
Loops structure of the Internet at the Autonomous System Level
inferredcites →https://doi.org/10.1103/physreve.74.056114openalex-snapshot
Clustering in complex networks. I. General formalism
inferredcites →https://doi.org/10.1103/physreve.74.056115openalex-snapshot
Clustering in complex networks. II. Percolation properties
inferredcites →https://doi.org/10.1103/physreve.80.020901openalex-snapshot
Percolation and epidemics in random clustered networks
inferredcites →https://doi.org/10.1103/physreve.80.036107openalex-snapshot
Bond percolation on a class of clustered random networks
inferredcites →https://doi.org/10.1103/physreve.80.046121openalex-snapshot
Analytical results for bond percolation and k -core sizes on clustered networks
inferredcites →https://doi.org/10.1103/physrevlett.102.128701openalex-snapshot
Random Acyclic Networks
inferredcites →https://doi.org/10.1103/physrevlett.103.058701openalex-snapshot
Random Graphs with Clustering
inferredcites →https://doi.org/10.1103/physrevlett.85.4626openalex-snapshot
Resilience of the Internet to Random Breakdowns
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.87.258701openalex-snapshot
Dynamical and Correlation Properties of the Internet
inferredcites →https://doi.org/10.1103/physrevlett.89.208701openalex-snapshot
Assortative Mixing in Networks
inferredcites →https://doi.org/10.1111/j.2517-6161.1977.tb01627.xopenalex-snapshot
Spatial Contact Models for Ecological and Epidemic Spread
inferredcites →https://doi.org/10.1126/science.1089167openalex-snapshot
Superfamilies of Evolved and Designed Networks
inferredcites →https://doi.org/10.1126/science.298.5594.824openalex-snapshot
Network Motifs: Simple Building Blocks of Complex Networks
inferredcites →https://doi.org/10.5486/pmd.1959.6.3-4.12openalex-snapshot
On random graphs. I.

What points at this work

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

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Fast Variables Determine the Epidemic Threshold in the Pairwise Model with an Improved Closure
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Consistent Approximation of Epidemic Dynamics on Degree-Heterogeneous Clustered Networks
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Mapping Structural Diversity in Networks Sharing a Given Degree Distribution and Global Clustering: Adaptive Resolution Grid Search Evolution with Diophantine Equation-Based Mutations
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Complex Networks and Their Applications VII
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Automatic Discovery of Families of Network Generative Processes
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Spreading of Infection on Temporal Networks: An Edge-Centered, Contact-Based Perspective
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Mean-Field Approximations for Homogeneous Networks
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Network of Interdependent Networks: Overview of Theory and Applications
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A genetic algorithm-based approach to mapping the diversity of networks sharing a given degree distribution and global clustering
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Epidemiological Modeling on Complex Networks
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Effective degree household network disease model
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A network with tunable clustering, degree correlation and degree distribution, and an epidemic thereon
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Spreading dynamics on complex networks: a general stochastic approach
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Beyond clustering: mean-field dynamics on networks with arbitrary subgraph composition
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Epidemic threshold in pairwise models for clustered networks: closures and fast correlations
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Exploring the Role of Keystone Species in Marine Ecosystems: A New Perspective Combining Energy Flow and Ecological Network Analysis
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Scalable and exact sampling method for probabilistic generative graph models
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Corrected Mean-Field Model for Random Sequential Adsorption on Random Geometric Graphs
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Statistical properties of random clique networks
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Algebraic Moment Closure for Population Dynamics on Discrete Structures
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Annotated hypergraphs: models and applications
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Properties of the connected components in projections of random bipartite networks: effects of clique size fluctuations
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Evaluating the impacts of extinction thresholds of species in a marine food web in the Yellow Sea (China)
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Crossover phenomena in growth pattern of social contagions with restricted contact
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Statistical properties of mutualistic-competitive random networks
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Scale effects on spatially embedded contact networks
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Selection of keystone species based on stable carbon and nitrogen isotopes to construct a typical food web on the shore of Xingkai Lake, China
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Higher-order structure and epidemic dynamics in clustered networks
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Compact pairwise models for epidemics with multiple infectious stages on degree heterogeneous and clustered networks
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Changing motif distributions in complex networks by manipulating rich-club connections
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Analysis of percolation behaviors of clustered networks with partial support–dependence relations
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Closed walks for community detection
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Hybrid evolving clique-networks and their communicability
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Stylized facts in social networks: Community-based static modeling
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Analysis on topological features of deterministic hierarchical complex network
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The Kuramoto model in complex networks
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Networks beyond pairwise interactions: Structure and dynamics
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Percolation on complex networks: Theory and application
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On local weak limit and subgraph counts for sparse random graphs
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Quantifying randomness in real networks
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Geometric description of clustering in directed networks
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Nonparametric inference of higher order interaction patterns in networks
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Deciphering the global organization of clustering in real complex networks
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Symbolic regression of generative network models
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Cyclization in random graph modeling of acrylate copolymerization
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Epidemic Spread in Networks: Existing Methods and Current Challenges
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Sample-to-sample fluctuations in real-network ensembles
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Suppressing cascades of load in interdependent networks
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Message passing on networks with loops
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Lack of Hyperbolicity in Asymptotic Erdös–Renyi Sparse Random Graphs
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Connectedness percolation in monodisperse rod systems: clustering effects
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Network dismantling on factor graphs: break long loops and spare local structures
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Robustness of higher-order networks with synergistic protection
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The elliptic model for communication fluxes
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Bond percolation on a class of correlated and clustered random graphs
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Network processes on clique-networks with high average degree: the limited effect of higher-order structure
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Mixing patterns in graphs with higher-order structure: the role of inter-subgraph correlations
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Central limit theorems for local network statistics
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Probabilistic k-swap method for uniform graph generation beyond the configuration model
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Complex contagions and hybrid phase transitions
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Generation and analysis of networks with a prescribed degree sequence and subgraph family: higher-order structure matters
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Networks
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Copyright Page
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.002.0005openalex-snapshot
Preface
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0001openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0002openalex-snapshot
Technological networks
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0003openalex-snapshot
Networks of information
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0004openalex-snapshot
Social networks
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0005openalex-snapshot
Biological networks
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0006openalex-snapshot
Mathematics of networks
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0007openalex-snapshot
Measures and metrics
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0008openalex-snapshot
Computer algorithms
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0009openalex-snapshot
Network statistics and measurement error
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0010openalex-snapshot
The structure of real-world networks
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0011openalex-snapshot
Random graphs
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0012openalex-snapshot
The configuration model
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0013openalex-snapshot
Models of network formation
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0014openalex-snapshot
Community structure
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0015openalex-snapshot
Percolation and network resilience
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0016openalex-snapshot
Epidemics on networks
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0017openalex-snapshot
Dynamical systems on networks
inferred← citeshttps://doi.org/10.1093/oso/9780198805090.003.0018openalex-snapshot
Network search
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.001.0001openalex-snapshot
The Nature of Complex Networks
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.002.0003openalex-snapshot
Copyright Page
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.002.0004openalex-snapshot
Dedication
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.002.0005openalex-snapshot
Epigraph
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.002.0006openalex-snapshot
Preface
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.002.0007openalex-snapshot
Contents
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.002.0008openalex-snapshot
Further reading
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.003.0001openalex-snapshot
First Insight
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.003.0002openalex-snapshot
Graphs
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.003.0003openalex-snapshot
Classical Random Graphs
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.003.0004openalex-snapshot
Equilibrium Networks
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.003.0005openalex-snapshot
Evolving Networks
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.003.0006openalex-snapshot
Connected Components
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.003.0007openalex-snapshot
Epidemics and Spreading Phenomena
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.003.0008openalex-snapshot
Networks of Networks
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.003.0009openalex-snapshot
Spectra and Communities
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.003.0010openalex-snapshot
Walks and Search
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.003.0011openalex-snapshot
Temporal Networks
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.003.0012openalex-snapshot
Cooperative Systems on Networks
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.003.0013openalex-snapshot
Inference and Reconstruction
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.003.0014openalex-snapshot
What’s Next?
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.005.0001openalex-snapshot
Adjacency Matrix for Hypergraphs
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.005.0002openalex-snapshot
Spectra of symmetric normalized Laplacians of sample graphs
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.005.0003openalex-snapshot
Generating Functions
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.005.0004openalex-snapshot
Hyperscaling Relations for Percolation
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.005.0005openalex-snapshot
Degree Distribution of a Damaged Network
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.005.0006openalex-snapshot
Non-backtracking Matrix
inferred← citeshttps://doi.org/10.1093/oso/9780199695119.005.0007openalex-snapshot
Treating General Interdependent Networks
inferred← citeshttps://doi.org/10.1098/rsif.2011.0403openalex-snapshot
Edge-based compartmental modelling for infectious disease spread
inferred← citeshttps://doi.org/10.1103/physreve.100.012314openalex-snapshot
Spectra of networks containing short loops
inferred← citeshttps://doi.org/10.1103/physreve.103.012309openalex-snapshot
Random graphs with arbitrary clustering and their applications
inferred← citeshttps://doi.org/10.1103/physreve.103.012313openalex-snapshot
Percolation in random graphs with higher-order clustering
inferred← citeshttps://doi.org/10.1103/physreve.103.042307openalex-snapshot
Cooperative coinfection dynamics on clustered networks
inferred← citeshttps://doi.org/10.1103/physreve.103.042311openalex-snapshot
Atomic subgraphs and the statistical mechanics of networks
inferred← citeshttps://doi.org/10.1103/physreve.103.062308openalex-snapshot
Two-pathogen model with competition on clustered networks
inferred← citeshttps://doi.org/10.1103/physreve.104.024304openalex-snapshot
Exact formula for bond percolation on cliques
inferred← citeshttps://doi.org/10.1103/physreve.104.054305openalex-snapshot
Generating functions for message passing on weighted networks: Directed bond percolation and susceptible, infected, recovered epidemics
inferred← citeshttps://doi.org/10.1103/physreve.104.l042303openalex-snapshot
Construction of simplicial complexes with prescribed degree-size sequences
inferred← citeshttps://doi.org/10.1103/physreve.105.044314openalex-snapshot
Degree correlations in graphs with clique clustering
inferred← citeshttps://doi.org/10.1103/physreve.105.l042301openalex-snapshot
Motif-based mean-field approximation of interacting particles on clustered networks
inferred← citeshttps://doi.org/10.1103/physreve.107.054303openalex-snapshot
Belief propagation on networks with cliques and chordless cycles
inferred← citeshttps://doi.org/10.1103/physreve.107.054304openalex-snapshot
Epidemic control in networks with cliques
inferred← citeshttps://doi.org/10.1103/physreve.109.024303openalex-snapshot
Effectiveness of contact tracing on networks with cliques
inferred← citeshttps://doi.org/10.1103/physreve.109.024306openalex-snapshot
Strongly clustered random graphs via triadic closure: An exactly solvable model
inferred← citeshttps://doi.org/10.1103/physreve.110.044125openalex-snapshot
Hypergraph animals
inferred← citeshttps://doi.org/10.1103/physreve.110.054307openalex-snapshot
Effects of clustering heterogeneity on the spectral density of sparse networks
inferred← citeshttps://doi.org/10.1103/physreve.111.034303openalex-snapshot
Cyclic random graph models predicting giant molecules in hydrocarbon pyrolysis
inferred← citeshttps://doi.org/10.1103/physreve.111.044305openalex-snapshot
Superexponential growth of epidemics in networks with cliques
inferred← citeshttps://doi.org/10.1103/physreve.83.056107openalex-snapshot
Cascades on a class of clustered random networks
inferred← citeshttps://doi.org/10.1103/physreve.84.041144openalex-snapshot
Belief-propagation algorithm and the Ising model on networks with arbitrary distributions of motifs
inferred← citeshttps://doi.org/10.1103/physreve.85.026106openalex-snapshot
Accuracy of mean-field theory for dynamics on real-world networks
inferred← citeshttps://doi.org/10.1103/physreve.85.031118openalex-snapshot
Propagation on networks: An exact alternative perspective
inferred← citeshttps://doi.org/10.1103/physreve.85.056119openalex-snapshot
Subgraph fluctuations in random graphs
inferred← citeshttps://doi.org/10.1103/physreve.87.062801openalex-snapshot
Cascades on clique-based graphs
inferred← citeshttps://doi.org/10.1103/physreve.87.062806openalex-snapshot
Statistical mechanics of multiplex networks: Entropy and overlap
inferred← citeshttps://doi.org/10.1103/physreve.88.012809openalex-snapshot
Epidemic fronts in complex networks with metapopulation structure
inferred← citeshttps://doi.org/10.1103/physreve.88.062820openalex-snapshot
Percolation on random networks with arbitrary k -core structure
inferred← citeshttps://doi.org/10.1103/physreve.91.052807openalex-snapshot
Network cloning unfolds the effect of clustering on dynamical processes
inferred← citeshttps://doi.org/10.1103/physreve.91.052812openalex-snapshot
Ising model in clustered scale-free networks
inferred← citeshttps://doi.org/10.1103/physreve.92.042116openalex-snapshot
Clique percolation in random graphs
inferred← citeshttps://doi.org/10.1103/physreve.92.062807openalex-snapshot
General and exact approach to percolation on random graphs
inferred← citeshttps://doi.org/10.1103/physreve.93.062211openalex-snapshot
Tweaking synchronization by connectivity modifications
inferred← citeshttps://doi.org/10.1103/physreve.94.012302openalex-snapshot
Power-law relations in random networks with communities
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Clustering determines the dynamics of complex contagions in multiplex networks
inferred← citeshttps://doi.org/10.1103/physreve.97.032302openalex-snapshot
Exact analytical solution of irreversible binary dynamics on networks
inferred← citeshttps://doi.org/10.1103/physrevlett.107.158702openalex-snapshot
Structural Preferential Attachment: Network Organization beyond the Link
inferred← citeshttps://doi.org/10.1103/physrevresearch.4.013123openalex-snapshot
Predicting the diversity of early epidemic spread on networks
inferred← citeshttps://doi.org/10.1103/physrevresearch.7.l022050openalex-snapshot
Random graphs with specific degree distribution and giant component size
inferred← citeshttps://doi.org/10.1103/physrevx.4.041026openalex-snapshot
Subgraph Covers: An Information-Theoretic Approach to Motif Analysis in Networks
inferred← citeshttps://doi.org/10.1103/physrevx.9.011023openalex-snapshot
Percolation and the Effective Structure of Complex Networks
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Generating scale-free networks with adjustable clustering coefficient via random walks
inferred← citeshttps://doi.org/10.1109/tit.2023.3296827openalex-snapshot
On the Number of Graphs With a Given Histogram
inferred← citeshttps://doi.org/10.1109/tnse.2021.3133380openalex-snapshot
Randomizing Hypergraphs Preserving Degree Correlation and Local Clustering
inferred← citeshttps://doi.org/10.1109/tnse.2025.3598991openalex-snapshot
On the Asymptotic Convergence of Subgraph Generated Models
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Improving resource utilization in hierarchy network by optimizing topological structure
inferred← citeshttps://doi.org/10.1155/2021/6624612openalex-snapshot
Virus‐Information Coevolution Spreading Dynamics on Multiplex Networks
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Dynamics of Kuramoto oscillators in complex networks
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The robustness of interdependent clustered networks
inferred← citeshttps://doi.org/10.1209/0295-5075/121/68001openalex-snapshot
Spectra of random networks in the weak clustering regime
inferred← citeshttps://doi.org/10.1209/0295-5075/97/28005openalex-snapshot
Networks with arbitrary edge multiplicities
inferred← citeshttps://doi.org/10.1209/0295-5075/98/16001openalex-snapshot
Exact solution of bond percolation on small arbitrary graphs
inferred← citeshttps://doi.org/10.1257/aer.103.6.2466openalex-snapshot
Word-of-Mouth Communication and Percolation in Social Networks
inferred← citeshttps://doi.org/10.1360/sspma2015-00463openalex-snapshot
Percolation of random clique networks
inferred← citeshttps://doi.org/10.1371/annotation/85b99614-44b4-4052-9195-a77d52dbdc05openalex-snapshot
Correction: Effects of Heterogeneous and Clustered Contact Patterns on Infectious Disease Dynamics
inferred← citeshttps://doi.org/10.1371/journal.pcbi.1002042openalex-snapshot
Effects of Heterogeneous and Clustered Contact Patterns on Infectious Disease Dynamics
inferred← citeshttps://doi.org/10.1371/journal.pone.0140133openalex-snapshot
A Shadowing Problem in the Detection of Overlapping Communities: Lifting the Resolution Limit through a Cascading Procedure
inferred← citeshttps://doi.org/10.1371/journal.pone.0142181openalex-snapshot
A Simulation Study Comparing Epidemic Dynamics on Exponential Random Graph and Edge-Triangle Configuration Type Contact Network Models
inferred← citeshttps://doi.org/10.1371/journal.pone.0328639openalex-snapshot
Generating random graphs with prescribed graphlet frequency bounds derived from probabilistic networks
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Hierarchical Configuration Model
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Modelling network motifs as higher order interactions: a statistical inference based approach
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Effectiveness of Contact Tracing on Networks with Cliques
inferred← citeshttps://doi.org/10.47749/t/unicamp.2015.947925openalex-snapshot
Competição schumpeteriana e consumidores organizados em rede
inferred← citeshttps://doi.org/10.48550/arxiv.1006.0970openalex-snapshot
Dynamics of infectious disease in clustered networks with arbitrary degree distributions
inferred← citeshttps://doi.org/10.48550/arxiv.1006.3483openalex-snapshot
Exact epidemic dynamics for generally clustered, complex networks
inferred← citeshttps://doi.org/10.48550/arxiv.1009.5700openalex-snapshot
Lack of Hyperbolicity in Asymptotic Erdös--Renyi Sparse Random Graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1010.0279openalex-snapshot
Sandpile cascades on interacting tree-like networks
inferred← citeshttps://doi.org/10.48550/arxiv.1403.1957openalex-snapshot
Epidemic spread in networks: Existing methods and current challenges
inferred← citeshttps://doi.org/10.48550/arxiv.1408.6303openalex-snapshot
Motif Conservation Laws for the Configuration Model
inferred← citeshttps://doi.org/10.48550/arxiv.1501.01585openalex-snapshot
Complex Contagions and hybrid phase transitions in unclustered and clustered random networks
inferred← citeshttps://doi.org/10.48550/arxiv.1606.03989openalex-snapshot
On the Role of Triadic Substructures in Complex Networks
inferred← citeshttps://doi.org/10.48550/arxiv.2108.13992openalex-snapshot
Bayesian learning of forest and tree graphical models
inferred← citeshttps://doi.org/10.70675/4098cb12zbf15z4268z8541zb3acde05db44openalex-snapshot
Network epidemiology aimed at risk assessment in infection prevention and control
inferred← citeshttps://doi.org/10.70675/65c3485bz7da2z4fd6z91fcz90db3ecec3bbopenalex-snapshot
Partition Diversity in Complex Networks
inferred← citeshttps://doi.org/10.70675/d8e31516z1fecz43abzb65cze346c7af6cb3openalex-snapshot
Approximation of stochastic models for epidemics on large multi-level graphs
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