A Geometric Approach for Real-time Monitoring of Dynamic Large Scale Graphs: AS-level graphs illustrated

by   Loqman Salamatian, et al.

The monitoring of large dynamic networks is a major chal- lenge for a wide range of application. The complexity stems from properties of the underlying graphs, in which slight local changes can lead to sizable variations of global prop- erties, e.g., under certain conditions, a single link cut that may be overlooked during monitoring can result in splitting the graph into two disconnected components. Moreover, it is often difficult to determine whether a change will propagate globally or remain local. Traditional graph theory measure such as the centrality or the assortativity of the graph are not satisfying to characterize global properties of the graph. In this paper, we tackle the problem of real-time monitoring of dynamic large scale graphs by developing a geometric approach that leverages notions of geometric curvature and recent development in graph embeddings using Ollivier-Ricci curvature [47]. We illustrate the use of our method by consid- ering the practical case of monitoring dynamic variations of global Internet using topology changes information provided by combining several BGP feeds. In particular, we use our method to detect major events and changes via the geometry of the embedding of the graph.


page 1

page 2

page 3

page 4


Time-aware Dynamic Graph Embedding for Asynchronous Structural Evolution

Dynamic graphs refer to graphs whose structure dynamically changes over ...

Distributed dynamic modeling and monitoring for large-scale industrial processes under closed-loop control

For large-scale industrial processes under closed-loop control, process ...

Dynamic Graphs Generators Analysis : an Illustrative Case Study

In this work, we investigate the analysis of generators for dynamic grap...

Nonparametric Link Prediction in Large Scale Dynamic Networks

We propose a nonparametric approach to link prediction in large-scale dy...

Topology Based Scalable Graph Kernels

We propose a new graph kernel for graph classification and comparison us...

Monitoring dynamic networks: a simulation-based strategy for comparing monitoring methods and a comparative study

Recently there has been a lot of interest in monitoring and identifying ...

Staged Animation Strategies for Online Dynamic Networks

Dynamic networks – networks that change over time – can be categorized i...

Please sign up or login with your details

Forgot password? Click here to reset