Fig 1. Comparing nodes in different graphs by closeness centrality and Ω.

The black nodes in the two graphs all have closeness 3/5, which ranks them as the most important node in panel A but of intermediate importance in panel B. The value 3/5 is thus insufficient for ranking the nodes importance. Closeness manages to rank the nodes within each graph correctly with respect to Ω for the infection rate β = 1/2 (except it does not split the blue nodes of the graph in panel A), but ranks the white nodes of panel B too high in both graphs together.