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Scaling in the space-time of the Internet
István Papp1, Levente Varga1, Mounir Afifi1
1Babeş-Bolyai University, Department of Physics, str. Kogalniceanu 1, Cluj-Napoca, Romania.
Abstract:
The Internet on the router level, is a complex network embedded in a geographical space. We provide experimental evidences suggesting that the average travel time for a message, with fixed length, increases roughly as the square root of the geographical distance. To understand this scaling law and other measurable topological properties of the Internet as a graph, we introduce and study a simple network model. The model is based on a few realistic socio-economic facts/assumptions and qualitatively reproduces the experimentally observed stylized facts.
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