Cross-closeness

Richard Tol

Economics Software Archive from Department of Economics, University of Sussex Business School

Abstract: Standard centrality measures are for horizontal distance. On a directed graph, outcloseness measures ancestry and incloseness measures descent. Cross-closeness measures vertical distances, that is, shared ancestry. There are three functions. Crosscloseness.m returns the average cross-closeness of all nodes to selected nodes in a graph. The average is the generalized average for parameter h. If h=1, this is the arithmatic average, if h=-1, it is the harmonic average. The other two are support functions. Crossdistance.m returns the matrix of distances between all nodes. Horzdist.m returns the distance between two nodes. Parameter d sets the depth: for d=1, only siblings are considered. For d=2, siblings and first cousins are considered. And so on.

Language: Matlab
JEL-codes: D85 (search for similar items in EconPapers)
Date: 2022-08-24
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