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An Application of HVG Method to Studying Variations of LDoS Flow Packet Sequence Pattern

By mapping one dimension time series into two dimension graph, Horizontal Visibility Graph (short as HVG) method provides a new way to analyze time series structural properties, it has been used in economics, biology, sociology and other areas related. In this paper, we apply it to investigate the Low-rate Denial-of-Service (LDoS) flow packet sequence pattern variations. We establish the Packet Sequence Model and put new metrics to measure the pattern similarity. Using the data carried out on PlanetLab, we find out that the packet sequence time series of the receiver has a bigger HVG degree than the sender, indicating that the packet sequence patterns get more irregular under the impacts of end-to-end delay.