Hi,  

> > how can I get the number of times a node is on the shortest path between 
> > two nodes otherwise disconnected?
What do you mean by saying that these two nodes are “otherwise disconnected”? 
Do you mean that you are interested in the number of times node X appears on a 
shortest path between node Y and Z if and only if node Y and Z would be 
disconnected if we removed X from the graph?

—  
T.
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