# Difference between revisions of "Closeness"

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− | '''Closeness''' is | + | '''Closeness''' is a radial measure of centrality that favors actors who are connected with many others via short paths. |

− | + | The raw closeness score of a node <math>v</math> is defined as the reciprocal of its total distance to those it can reach via directed paths, | |

− | + | <math>c_C(v)=\frac{\text{number of reachable nodes}}{\sum\limits_{\text{reachable nodes } t} d_G(v,t)}</math> | |

+ | |||

+ | where <math>d_G(v,t)</math> denotes the length of a shortest directed path from <math>v</math> to <math>t</math>. | ||

+ | If a [[link strength]] has been selected, the length of an <math>(v,t)</math>-path is the sum of the corresponding attribute values of all links in the path. |

## Revision as of 18:11, 17 January 2011

**Closeness** is a radial measure of centrality that favors actors who are connected with many others via short paths.

The raw closeness score of a node is defined as the reciprocal of its total distance to those it can reach via directed paths,

where denotes the length of a shortest directed path from to . If a link strength has been selected, the length of an -path is the sum of the corresponding attribute values of all links in the path.