Matlab code to compute the Kemeny-based centrality described in https://doi.org/10.1137/22M1486728

Usage:

1. prepare (using QGis or some other tool) a file somename.csv (where you can put any name of your choice instead of somename) with at least 4 columns x1, y1, x2, y2, which identify the beginning / end of each road.
2. run in Matlab

G = kementrality('somename')

3. a file somename_kementrality.csv is created; this contains the smae columns as somename.csv plus one column named kementrality, which contains the values of the measure. This column may contain NaN if some values could not be computed; this happens for instance if the network is disconnected or has self-loop edges (zero-length roads).
4. You may then re-import somename-kementrality.csv into QGis or your tool of choice.
5. Optionally, you may plot the result directly in Matlab with

    plotmeasure(G, G.Edges.kementrality);

or interact with it; the function returns a Matlab Graph object, and coordinates G.Nodes.x, G.Nodes.y are added automatically.

For more detailed information, type into Matlab

doc kementrality