# edges2triangles

##### List Triangles in a Graph

Given a list of edges between vertices, compile a list of all triangles formed by these edges.

##### Usage

```
edges2triangles(iedge, jedge, nvert=max(iedge, jedge), ...,
check=TRUE, friendly=rep(TRUE, nvert))
```

##### Arguments

- iedge,jedge
- Integer vectors, of equal length, specifying the edges.
- nvert
- Number of vertices in the network.
- ...
- Ignored
- check
- Logical. Whether to check validity of input data.
- friendly
- Optional. For advanced use. See Details.

##### Details

This low level function finds all the triangles (cliques of size 3)
in a finite graph with `nvert`

vertices and with edges
specified by `iedge, jedge`

.

The interpretation of `iedge, jedge`

is that each successive
pair of entries specifies an edge in the graph.
The $k$th edge joins vertex `iedge[k]`

to vertex `jedge[k]`

.
Entries of `iedge`

and `jedge`

must be integers
from 1 to `nvert`

.

To improve efficiency in some applications, the optional argument
`friendly`

can be used. It should be a logical vector of
length `nvert`

specifying a labelling of the vertices,
such that two vertices `j,k`

which are *not* friendly
(`friendly[j] = friendly[k] = FALSE`

)
are *never* connected by an edge.

##### Value

- A 3-column matrix of integers, in which each row represents a triangle.

##### Examples

```
i <- c(1, 2, 5, 5, 1, 4, 2)
j <- c(2, 3, 3, 1, 3, 2, 5)
edges2triangles(i, j)
```

*Documentation reproduced from package spatstat, version 1.25-1, License: GPL (>= 2)*