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Cross-closeness

Author

Listed:
  • Richard S.J. Tol

    (Department of Economics, University of Sussex)

Programming Language

Matlab

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.

Suggested Citation

  • Richard S.J. Tol, 2022. "Cross-closeness," Economics Software Archive 0222, Department of Economics, University of Sussex Business School.
    • Handle: RePEc:sus:susesa:0222
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    More about this item

    Keywords

    Matlab;

    JEL classification:

    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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