Temporal stability of network partitions
arXiv:1404.7170 · doi:10.1103/PhysRevE.90.022813
Abstract
We present a method to find the best temporal partition at any time-scale and rank the relevance of partitions found at different time-scales. This method is based on random walkers coevolving with the network and as such constitutes a generalization of partition stability to the case of temporal networks. We show that, when applied to a toy model and real datasets, temporal stability uncovers structures that are persistent over meaningful time-scales as well as important isolated events, making it an effective tool to study both abrupt changes and gradual evolution of a network mesoscopic structures.
15 pages, 12 figures
References in corpus (17)
- Fast unfolding of communities in large networks
- Community detection in graphs
- Temporal Networks
- Community Structure in Time-Dependent, Multiscale, and Multiplex Networks
- Finding statistically significant communities in networks
- Extracting the multiscale backbone of complex weighted networks
- The map equation
- High-resolution measurements of face-to-face contact patterns in a primary school
- Activity driven modeling of time varying networks
- Mapping change in large networks
- Detecting the community structure and activity patterns of temporal networks: a non-negative tensor factorization approach
- Random walks and search in time-varying networks
- Temporal Heterogeneities Increase the Prevalence of Epidemics on Evolving Networks
- Generalized Master Equations for Non-Poisson Dynamics on Networks
- Activity clocks: spreading dynamics on temporal networks of human contact
- Online detection of temporal communities in evolving networks by estrangement confinement
- Modeling temporal networks using random itineraries
Cited by in corpus (9)
- Modern temporal network theory: A colloquium
- Identifying modular flows on multilayer networks reveals highly overlapping organization in social systems
- Benchmark model to assess community structure in evolving networks
- Graph-based data clustering via multiscale community detection
- A Framework for the Construction of Generative Models for Mesoscale Structure in Multilayer Networks
- Flow stability for dynamic community detection
- Inference of hidden structures in complex physical systems by multi-scale clustering
- Quantifying the temporal stability of international fertilizer trade networks
- Temporal rich club phenomenon and its formation mechanisms