Description Usage Arguments Details Value Author(s) Examples

View source: R/structural.properties.R

Calculates the reciprocity of a directed graph.

1 | ```
reciprocity(graph, ignore.loops = TRUE, mode = c("default", "ratio"))
``` |

`graph` |
The graph object. |

`ignore.loops` |
Logical constant, whether to ignore loop edges. |

`mode` |
See below. |

The measure of reciprocity defines the proporsion of mutual connections, in
a directed graph. It is most commonly defined as the probability that the
opposite counterpart of a directed edge is also included in the graph. Or in
adjacency matrix notation: *sum(i, j,
(A.*A')ij) / sum(i, j, Aij)*, where *A.*A'* is the
element-wise product of matrix *A* and its transpose. This measure is
calculated if the `mode`

argument is `default`

.

Prior to igraph version 0.6, another measure was implemented, defined as the
probability of mutual connection between a vertex pair, if we know that
there is a (possibly non-mutual) connection between them. In other words,
(unordered) vertex pairs are classified into three groups: (1)
not-connected, (2) non-reciprocaly connected, (3) reciprocally connected.
The result is the size of group (3), divided by the sum of group sizes
(2)+(3). This measure is calculated if `mode`

is `ratio`

.

A numeric scalar between zero and one.

Tamas Nepusz ntamas@gmail.com and Gabor Csardi csardi.gabor@gmail.com

1 2 | ```
g <- sample_gnp(20, 5/20, directed=TRUE)
reciprocity(g)
``` |

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