I'm using a measure in my graph analysis application and I'm unsure how to properly name it.
The measure is calculated separately for each node and represents a total number of pairs of nodes which have a shortest path going through that node.
I know it has similarity to a measure called betweenness, though this one is slightly different.
Is there a defined name for this sort of measure? If not, can someone suggest a good name for it?
Edit: The graph in question is unweighted