Guo, YC; Chen, CJ; Zhou, S; (2009) Fingerprint for Network Topologies. In: Zhou, J, (ed.) Complex Sciences First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2. (pp. 1666 - 1677). Springer: Berlin / Heidelberg, Germany.

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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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