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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.
Has the network centralized? By this metric yes by a lot.
Do you know what betweenness centrality is?
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