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GraphTheory

  

HarmonicCentrality

  

compute harmonic centrality

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

HarmonicCentrality(G)

HarmonicCentrality(G, v)

Parameters

G

-

graph

v

-

(optional) a vertex of G

Description

• 

HarmonicCentrality returns the harmonic centrality for a specified vertex in the the given graph G, or if no vertex is specified, returns a list of the harmonic centralities for each vertex in G.

• 

The harmonic centrality of a vertex v is the sum of the reciprocal of the graph distance from u to v for every other vertex u in G.

Examples

withGraphTheory:

Compute the harmonic centrality for a specified graph.

GGraph6,1,3,1,6,2,4,2,6,3,6,4,5,4,6,5,6

GGraph 1: an undirected unweighted graph with 6 vertices and 8 edge(s)

(1)

DrawGraphG

HarmonicCentralityG

72,72,72,4,72,5

(2)

Compatibility

• 

The GraphTheory[HarmonicCentrality] command was introduced in Maple 2020.

• 

For more information on Maple 2020 changes, see Updates in Maple 2020.

See Also

BetweennessCentrality

ClosenessCentrality

DegreeCentrality

EigenvectorCentrality

InformationCentrality

KatzCentrality

PageRankCentrality