Assortative mixing in networks

Abstract

A network is said to show assortative mixing if the nodes in the network that have many connections tend to be connected to other nodes with many connections. We define a measure of assortative mixing for networks and use it to show that social networks are often assortatively mixed, but that technological and biological networks tend to be disassortative. We propose a model of an assortative network, which we study both analytically and numerically. Within the framework of this model we find that assortative networks tend to percolate more easily than their disassortative counterparts and that they are also more robust to vertex removal.

5 pages, 1 table, 1 figure

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• Anomaly Detection in Streaming Sensor Data
• Optimal modularity for nucleation in network-organized Ising model
• Global organization of protein complexome in the yeast Saccharomyces cerevisiae
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• Statistically consistent coarse-grained simulations for critical phenomena in complex networks
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• Recommender systems in industrial contexts
• Effects of updating rules on the coevolving prisoner's dilemma
• A unified data representation theory for network visualization, ordering and coarse-graining
• Community detection by spectral methods in multi-layer networks
• Reactive random walkers on complex networks
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• Emergence of scale-free close-knit friendship structure in online social networks
• An ensemble of random graphs with identical degree distribution
• Broad edge of chaos in strongly heterogeneous Boolean networks
• Extracting correlations in earthquake time series using visibility graph analysis
• Planar unclustered scale-free graphs as models for technological and biological networks
• Hierarchy in directed random networks
• Collaborative Filtering Approach to Link Prediction
• Dominating Scale-Free Networks Using Generalized Probabilistic Methods
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• Improving personalized link prediction by hybrid diffusion
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• The Bass diffusion model on finite Barabasi-Albert networks
• Analysis and perturbation of degree correlation in complex networks
• Grouping time series by pairwise measures of redundancy
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• Same Stats, Different Graphs: Exploring the Space of Graphs in Terms of Graph Properties
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• Graph theoretic analysis of protein interaction networks of eukaryotes
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• Quantitative description and modeling of real networks
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• A framework for cascade size calculations on random networks
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• Aging and percolation dynamics in a Non-Poissonian temporal network model
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• Goal-directed graph construction using reinforcement learning
• Variability of Contact Process in Complex Networks
• Heterogeneous network epidemics: real-time growth, variance and extinction of infection
• Assortative and disassortative mixing investigated using the spectra of graphs
• Graphic Realizations of Joint-Degree Matrices
• Dynamics in online social networks
• A new design principle of robust onion-like networks self-organized in growth
• Assortative Mixing in Weighted Directed Networks
• Networking genetic regulation and neural computation: Directed network topology and its effect on the dynamics
• Approximating the Largest Eigenvalue of the Modified Adjacency Matrix of Networks with Heterogeneous Node Biases
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• The Multi-Scale Network Landscape of Collaboration
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• Correlations in interacting systems with a network topology
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• Nonlinear Barabási-Albert Network
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• Insights from Graph Theory on the Morphologies of Actomyosin Networks with Multilinkers
• Systems Applications of Social Networks
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• Second-Order Assortative Mixing in Social Networks
• Memory effects induce structure in social networks with activity-driven agents
• Diffusion-annihilation proecesses in weighted scale-free networks with identical degree sequence
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• Convergence towards an Erd{\H o}s-Rényi graph structure in network contraction processes
• Node mixing and group structure of complex software networks
• The q-component static model : modeling social networks
• Centrality Measures in Complex Networks: A Survey
• Weighted reciprocity in human communication networks
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• Influence Maximization for Fixed Heterogeneous Thresholds
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• The evolution of network controllability in growing networks
• Partition of Networks into Basins of Attraction
• Incorporating Heterogeneous Interactions for Ecological Biodiversity
• Highly Clustered Complex Networks in the Configuration Model: Random Regular Small-World Network
• Multilayer network analysis to study complex inter-subsystem interactions in a turbulent thermoacoustic system
• Jamming in complex networks with degree correlation
• Multifractal cross-correlation effects in two-variable time series of complex network vertex observables
• A universal assortativity measure for network analysis
• Structural and spectral properties of a family of deterministic recursive trees: Rigorous solutions
• Degree Landscapes in Scale-Free Networks
• Link-space formalism for network analysis
• The Paradox of Second-Order Homophily in Networks
• Modelling temporal and spatial features of collaboration network
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• Aftershocks in Modern Perspectives: Complex Earthquake Network, Aging, and Non-Markovianity
• Complex networks as an emerging property of hierarchical preferential attachment
• Bounds of memory strength for power-law series
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• Deep learning based parameter search for an agent based social network model
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• Role-Dynamics: Fast Mining of Large Dynamic Networks
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• Mechanisms for tuning clustering and degree-correlations in directed networks
• Mapping dynamical systems onto complex networks
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• Performance of Local Information Based Link Prediction: A Sampling Perspective
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• Inhomogeneous percolation models for spreading phenomena in random graphs
• Complex networks with scale-free nature and hierarchical modularity
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• Mapping network structures and dynamics of decentralised cryptocurrencies: The evolution of Bitcoin (2009-2023)
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• Eigenvalue ratio statistics of complex networks: Disorder vs. Randomness
• Exact epidemic dynamics for generally clustered, complex networks
• Network rewiring in the $r$-$K$ plane
• Structure of international trade hypergraphs
• Scalar model of flocking dynamics on complex social networks
• Survivable Networks via UAV Swarms Guided by Decentralized Real-Time Evolutionary Computation
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• The network asymmetry caused by the degree correlation and its effect on the bimodality in control
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• Analytic solution of the two-star model with correlated degrees
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• Network evolution towards optimal dynamical performance
• Decoding the structure of the WWW: facts versus sampling biases
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• Geometric evolution of complex networks
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• Generalized $k$-core pruning process on directed networks
• Reconstructing supply networks
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• The network structure of visited locations according to geotagged social media photos
• Group fairness without demographics using social networks
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• Synergistic epidemic spreading in correlated networks
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• Generating random networks that consist of a single connected component with a given degree distribution
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• Predicting Graph Categories from Structural Properties
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• Stability of strategies in payoff-driven evolutionary games on networks
• Fermionic Networks: Modeling Adaptive Complex Networks with Fermionic Gases
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• Convergence of rank based degree-degree correlations in random directed networks
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• Wealth distribution on a dynamic complex network
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• Identification of intrinsic long-range degree correlations in complex networks
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• On dynamic random graphs with degree homogenization via anti-preferential attachment probabilities
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• Exploring cooperative game mechanisms of scientific coauthorship networks
• A novel approach to study realistic navigations on networks
• Incorporating User's Preference into Attributed Graph Clustering
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• Clustering Coefficients of Protein-Protein Interaction Networks
• Complex networks and public funding: the case of the 2007-2013 Italian program
• Correlations in Networks associated to Preferential Growth
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• Networks of Power: Analyzing World Leaders Interactions on Social Media
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• From Random Graph to Small World by Wandering
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