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Degree Centralization in Igraph for R - star graph not evaluated as 1

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I'm working with a series of undirected small graphs using igraph in R. I'm interested in graph-level degree centralization, and am using the centr_degree function from igraph.

However, I noticed that even in cases of "star" graphs (one node connected to all other nodes, with no other connections), the code does not return a degree centralization of 1, though it seems from Freeman 1979 that they should. Am I missing something in how this is supposed to be calculated?

Freeman 1979: http://leonidzhukov.net/hse/2014/socialnetworks/papers/freeman79-centrality.pdf


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