Centrality analysis determines the importance of ver- tices in a network based on their connectivity within the network structure. It is a widely used technique to analyse network-structured data. A particularly important task is the comparison of different central- ity measures within one network. We present three methods for the exploration and comparison of cen- trality measures within a network: 3D parallel coor- dinates, orbit-based comparison and hierarchy-based comparison. There is a common underlying idea to all three methods: for each centrality measure the graph is copied and drawn in a separate 2D plane with ver- tex position dependent on centrality. These planes are then stacked into the third dimension so that the different centrality measures may be easily com- pared. Only the details of how centrality is mapped to vertex position are different in each method. For 3D parallel coordinates vertices are placed on vertical lines; for orbit-based comparison vertices are placed on concentric circles and for hierarchy-based compar- ison vertices are placed on horizontal lines. The sec- ond and third solutions make it particularly easy to track changing vertex-centrality values in the context of the underlying network structure. The usability of these methods is demonstrated on biological and social networks.
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