Research Article
Fingerprint for Network Topologies
@INPROCEEDINGS{10.1007/978-3-642-02469-6_45, author={Yuchun Guo and Changjia Chen and Shi Zhou}, title={Fingerprint for Network Topologies}, proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2}, proceedings_a={COMPLEX PART 2}, year={2012}, month={5}, keywords={complex network mixing patterns visualisation BOSAM}, doi={10.1007/978-3-642-02469-6_45} }- Yuchun Guo
Changjia Chen
Shi Zhou
Year: 2012
Fingerprint for Network Topologies
COMPLEX PART 2
Springer
DOI: 10.1007/978-3-642-02469-6_45
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 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.