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[igraph] problem in theoretical maximum of closeness centrality

From: Ju-Sung Lee
Subject: [igraph] problem in theoretical maximum of closeness centrality
Date: Fri, 20 Dec 2013 10:57:02 -0800 (PST)

I believe there is some incorrect passing of parameters for the theoretical maximum of closeness centrality.

The function 'centrality.c:igraph_centralization_closeness_tmax' accepts a 'mode' parameter (which often in other functions corresponds to 'out','in','all','total').  However, in 'rinterface.c:R_igraph_centralization_closeness_tmax', it is the 'c_directed' variable that is passed as 'mode' into 'igraph_centralization_closeness_tmax'.  Since 'c_directed' is a logical typed variable and will (presumably) have values of only 0 and 1 and 'mode' is typically assigned 1, 2, 3, or 4, the behavior of 'centrality.c:igraph_centralization_closeness_tmax' will not be as expected.  Specifically, if one tries to use the 'nodes' parameter for the R function 'centralization.closeness.tmax' to obtain the theoretical maximum without specifying a graph, the result will be always be that of a directed graph even if one specifies directed=F for the R function as the C function 'centrality.c:igraph_centralization_closeness_tmax' tests only if the mode/c_directed value is 3 in order to produce the correct result for an undirected graph.


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