Fingerprint for Network Topologies

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.

12papes, 3 figures, in press

References in corpus (5)

• The Rich-Club Phenomenon In The Internet Topology
• The Internet AS-Level Topology: Three Data Sources and One Definitive Metric
• Systematic Topology Analysis and Generation Using Degree Correlations
• Chinese Internet AS-level Topology
• Cyclic Lattice Feshbach Resonances

Cited by in corpus (1)

• Random Networks with given Rich-club Coefficient