Abstract
Running periodically traceroute-like measurements at suite frequency from a given monitor towards a fixed set of destinations allows observing a dynamics of routing topology around the monitor. This observed dynamics has revealed two main characteristics: the topology evolves at a pace much higher than expected and the occurrence of observed ip addresses provides a pattern of the ip-level routing dynamics. In this paper, we aim to provide some explanation of these characteristics through the small-world effect, observed on most complex networks. We are able to reproduce the observed dynamics by modeling the measurement on small-world graph. Thus, we show by simulation the influence of the coefficient clustering and the average path lengths on the dynamics.
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- 1.
Studying these events is however out of the scope of this paper.
- 2.
If we denote d(x, y), the distance (or shortest path) between the vertices x and y, the mean of distances of the vertex x to the other vertices of G is its average path lengths. The average path lengths of G is the mean of average path lengths of all vertices.
- 3.
Given a vertex x, the clustering coefficient is a measure of the probability to which two vertices connected to x tend to be connected.
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This work is supported by the National Scientific Research Fund, MESS/BF/2014.
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Ouédraogo, F.T., Bissyandé, T., Daouda, S., Bassolé, D., Séré, A., Sié, O. (2016). Impact of Small-World Effect on the ip-level Routing Dynamics. In: Glitho, R., Zennaro, M., Belqasmi, F., Agueh, M. (eds) e-Infrastructure and e-Services. AFRICOMM 2015. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 171. Springer, Cham. https://doi.org/10.1007/978-3-319-43696-8_3
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