transClos function

Transitive closure of a graph

Computes the transitive closure of a graph (undirected or directed acyclic).

transClos(amat)

Arguments

• amat: a Boolean matrix with dimnames representing the adjacency matrix of a graph.

Details

The transitive closure of a directed graph with adjacency matrix $A$ is a graph with adjacency matrix $A^*$ such that $A^*_{i,j} = 1$

if there is a directed path from $i$ to $j$. The transitive closure of an undirected graph is defined similarly (by substituting path to directed path).

Returns

• A: The adjacency matrix of the transitive closure.

Author(s)

Giovanni M. Marchetti

See Also

DAG, UG

Examples

## Closure of a DAG
d <- DAG(y ~ x, x ~ z)
transClos(d)

## Closure of an UG
g <- UG(~ x*y*z+z*u+u*v)
transClos(g)