"When gossip messages were first being collected April 2019, it was found that 10% of nodes accounted for 70% of betweenness. Since then, centrality increased to the point that the 10% nodes in the network account for 90% of centrality. That means, assuming payments occurred at random. that this 10% of nodes handles 90% of network payment traffic. This can adversely affect the privacy of the network."
See also: the Gini coefficient
I'm not sure that is a good measure
Imagine I crated a huge huge number of nodes that do nothing. The number is so huge that my nodes that do nothing are 99% of nodes. So 99% of nodes do nothing and 1% of nodes handle all payments.
Has the network centralized? By this metric yes by a lot.
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Has the network centralized? By this metric yes by a lot.
Do you know what betweenness centrality is?
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