Multilayer weighted social network model

Abstract

Recent empirical studies using large-scale data sets have validated the Granovetter hypothesis on the structure of the society in that there are strongly wired communities connected by weak ties. However, as interaction between individuals takes place in diverse contexts, these communities turn out to be overlapping. This implies that the society has a multilayered structure, where the layers represent the different contexts. To model this structure we begin with a single-layer weighted social network (WSN) model showing the Granovetterian structure. We find that when merging such WSN models, a sufficient amount of interlayer correlation is needed to maintain the relationship between topology and link weights, while these correlations destroy the enhancement in the community overlap due to multiple layers. To resolve this, we devise a geographic multilayer WSN model, where the indirect interlayer correlations due to the geographic constraints of individuals enhance the overlaps between the communities and, at the same time, the Granovetterian structure is preserved.

9 pages, 9 figures

References in corpus (28)

• Fast unfolding of communities in large networks
• Modularity and community structure in networks
• Community detection in graphs
• Understanding individual human mobility patterns
• Maps of random walks on complex networks reveal community structure
• The structure of scientific collaboration networks
• Multilayer Networks
• The structure and dynamics of multilayer networks
• Link communities reveal multiscale complexity in networks
• Detecting the overlapping and hierarchical community structure of complex networks
• Structure and tie strengths in mobile communication networks
• Quantifying social group evolution
• Multirelational Organization of Large-scale Social Networks in an Online World
• Geographical dispersal of mobile communication networks
• Geographic constraints on social network groups
• Uncovering space-independent communities in spatial networks
• Analysis of a large-scale weighted network of one-to-one human communication
• Urban Gravity: a Model for Intercity Telecommunication Flows
• Inter-similarity between coupled networks
• Weighted Multiplex Networks
• Emergence of communities in weighted networks
• A Large-Scale Community Structure Analysis In Facebook
• Structural properties of spatially embedded networks
• Emergence of Bursts and Communities in Evolving Weighted Networks
• Using explosive percolation in analysis of real-world networks
• Immunization Dynamics on a 2-layer Network Model
• A tool for parameter-space explorations
• Contextual analysis framework for bursty dynamics

Cited by in corpus (26)

• The new challenges of multiplex networks: measures and models
• Algorithmic bias amplifies opinion polarization: A bounded confidence model
• Structural transition in social networks: The role of homophily
• Irreducibility of multilayer network dynamics: the case of the voter model
• Emergence of multiplex communities in collaboration networks
• Modeling the role of relationship fading and breakup in social network formation
• Correlations between weights and overlap in ensembles of weighted multiplex networks
• Social nucleation: Group formation as a phase transition
• Dynamical origins of the community structure of multi-layer societies
• Joint Inference of Multiple Graphs from Matrix Polynomials
• Atypical viral dynamics from transport through popular places
• An open-source job management framework for parameter-space exploration: OACIS
• Joint Network Topology Inference in the Presence of Hidden Nodes
• Multilayer network analysis to study complex inter-subsystem interactions in a turbulent thermoacoustic system
• Stylized facts in social networks: Community-based static modeling
• Layered Complex Networks as Fluctuation Amplifiers
• Deep learning based parameter search for an agent based social network model
• Spanning connectivity in a multilayer network and its relationship to site-bond percolation
• Strength of minority ties: the role of homophily and group composition in a weighted social network
• Bias-Variance Tradeoffs in Joint Spectral Embeddings
• Anomalous Contagion and Renormalization in Dynamical Networks with Nodal Mobility
• Hierarchical clustering of bipartite data sets based on the statistical significance of coincidences
• A Survey of Evolving Models for Weighted Complex Networks based on their Dynamics and Evolution
• Dynamical complexity in the perception-based network formation model
• Identifying Central Nodes in Multiplex Networks by Embracing Layer-Specific Heterogeneity via DomiRank
• An Influence-based Clustering Model on Twitter