Title
Dynamic graphs, community detection, and Riemannian geometry.
Abstract
A community is a subset of a wider network where the members of that subset are more strongly connected to each other than they are to the rest of the network. In this paper, we consider the problem of identifying and tracking communities in graphs that change over time – dynamic community detection – and present a framework based on Riemannian geometry to aid in this task. Our framework currently supports several important operations such as interpolating between and averaging over graph snapshots. We compare these Riemannian methods with entry-wise linear interpolation and find that the Riemannian methods are generally better suited to dynamic community detection. Next steps with the Riemannian framework include producing a Riemannian least-squares regression method for working with noisy data and developing support methods, such as spectral sparsification, to improve the scalability of our current methods.
Year
DOI
Venue
2018
10.1007/s41109-018-0059-2
Applied Network Science
Keywords
DocType
Volume
Community detection,Dynamic graphs,Riemannian geometry
Journal
3
Issue
Citations 
PageRank 
1
1
0.36
References 
Authors
7
3
Name
Order
Citations
PageRank
Craig Bakker111.04
Mahantesh Halappanavar221833.64
Arun V. Sathanur3176.10