  In this paper we use for the first time a systematic approach in the study of
harmonic centrality at a Web domain level, and gather a number of significant
new findings about the Australian web. In particular, we explore the
relationship between economic diversity at the firm level and the structure of
the Web within the Australian domain space, using harmonic centrality as the
main structural feature. The distribution of harmonic centrality values is
analyzed over time, and we find that the distributions exhibit a consistent
pattern across the different years. The observed distribution is well captured
by a partition of the domain space into six clusters; the temporal movement of
domain names across these six positions yields insights into the Australian
Domain Space and exhibits correlations with other non-structural
characteristics. From a more global perspective, we find a significant
correlation between the median harmonic centrality of all domains in each OECD
country and one measure of global trust, the WJP Rule of Law Index. Further
investigation demonstrates that 35 countries in OECD share similar harmonic
centrality distributions. The observed homogeneity in distribution presents a
compelling avenue for exploration, potentially unveiling critical corporate,
regional, or national insights.
