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arXiv · 0804.0499

Fingerprint for Network Topologies

Yuchun Guo·Changjia Chen·Shi Zhou
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Abstract

A network's topology information can be given as an adjacency matrix. The bitmap of sorted adjacency matrix(BOSAM) is a network visualisation tool which can emphasise different network structures by just looking at reordered adjacent matrixes. A BOSAM picture resembles the shape of a flower and is characterised by a series of 'leaves'. Here we show and mathematically prove that for most networks, there is a self-similar relation between the envelope of the BOSAM leaves. This self-similar property allows us to use a single envelope to predict all other envelopes and therefore reconstruct the outline of a network's BOSAM picture. We analogise the BOSAM envelope to human's fingerprint as they share a number of common features, e.g. both are simple, easy to obtain, and strongly characteristic encoding essential information for identification.

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Yuchun Guo, Changjia Chen, Shi Zhou. 2008-12-30. Fingerprint for Network Topologies. https://doi.org/10.1007/978-3-642-02469-6_45

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