KatzCentrality

KatzCentrality[g,α] gives a list of Katz centralities for the vertices in the graph g and weight α.

KatzCentrality[g,α,β] gives a list of Katz centralities using weight α and initial centralities β.

KatzCentrality[{v->w,…},…] uses rules v->w to specify the graph g.

Examples

Compute Katz centrality for a simple graph:

g = Graph[{1 -> 2, 2 -> 3, 3 -> 1}];
KatzCentrality[g, 0.1]
(* {1.11, 1.11, 1.11} *)

Use with a path graph:

KatzCentrality[PathGraph[Range[5]], 0.5]

Please visit the official Wolfram Language Reference for more details.