Confusion the way to calculate katz_centrality (with example)?

[SU]

Dear all, 

Nice day. Katz centrality is calculated by:

katz_centrality(G, alpha=0.1) api is described here. I calculated  the Katz centrality for the following example and got the result shown within the graph.

 But the result doesn't make sense. The Katz centrality of node Medici is 0.33 not 0.67. The following table shows the details how to calculate the Katz centrality of node Medici it.

Need your help me out. Thank you very much in advance.

Best regards,

SU 

[SU]

A denotes adjacent matrix of a graph. Thus, (A^k)ij = a indicates that there exist a path(s) whose distance is k between node i and node j.  Am I right?

[dichotamous]

Hi ,

Can you please share the original paper from where this example has been taken?