Meaning of the Centrality Measures and mathematical formulas to calculate them

Question

Could you please explain me the meaning of the following Centrality Measures and the mathematical formulas  used by yEd to calculate them ?

1) Graph centrality
2) Node betweenness centrality
3) Closeness centrality
 

Thanks in advance

Comments

yEd without complicated math, take the max connections this is 1. Then take the number of connections for the object and divide by the max number of connections to get the value shown (make sure to consider if in, out or both are checked). For example 4 edge connections max, a shape having only one connection will have a value of 0.25. If the max connections is 3 and a shape has two edge connections the value for that shape will be 2/3 or .67.

Answer 1

There are numerous websites which describe these common centrality measures.

In short, the closeness value of a node is the inverse of the sum of its distances to all other nodes. Graph centrality is similar; the graph centrality value of a node is the inverse of the maximum distance to any other node. Betweenness considers shortest paths between nodes; roughly speaking, a node has a high betweenness if it is on many shortest paths between all other pairs of nodes.