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Maximal clique centrality (MCC; Chin et al. 2014) sums \((|C|-1)!\) over the maximal cliques \(C\) that contain the node. A clique contained in a larger clique does not count.

Usage

centrality_mcc(x, ...)

Arguments

x

Network input accepted by centrality.

...

Further arguments to centrality, such as normalized.

Value

A named numeric vector with one score per node, in input node order.

Details

The measure uses the simple undirected skeleton, so direction, weights, loops and parallel edges are ignored. Single-node cliques are excluded, so an isolated node scores 0. A node whose neighbors share no edge scores its degree. Maximal clique enumeration has exponential worst-case cost. A score beyond double precision, which includes any clique with more than 171 nodes, raises an error.

References

Chin, C. H., et al. (2014). cytoHubba: identifying hub objects and sub-networks from complex interactome. BMC Systems Biology, 8(Suppl 4), S11. doi:10.1186/1752-0509-8-S4-S11 .

Examples

centrality_mcc(regulation_net)
#>    Explore       Plan    Monitor      Adapt    Reflect    Discuss Synthesize 
#>         10         16         24         10          6          8          6 
#>   Evaluate     Create      Share 
#>         10         18         12