# reciprocity

0th

Percentile

##### Reciprocity of graphs

Calculates the reciprocity of a directed graph.

Keywords
graphs
##### Usage
reciprocity(graph, ignore.loops = TRUE)
##### Arguments
graph
The graph object.
ignore.loops
Logical constant, whether to ignore loop edges.
##### Details

A vertex pair (A, B) is said to be reciprocal if there are edges between them in both directions. The reciprocity of a directed graph is the proportion of all possible (A, B) pairs which are reciprocal, provided there is at least one edge between A and B. The reciprocity of an empty graph is undefined (results in an error code). Undirected graphs always have a reciprocity of 1.0 unless they are empty.

##### Value

• A numeric constaint between zero and one.

Reciprocity

• reciprocity
##### Examples
g <- random.graph.game(20, 5/20, directed=TRUE)
reciprocity(g)
Documentation reproduced from package igraph, version 0.5.3, License: GPL (>= 2)

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