# topo_sort

##### Topological sorting of vertices in a graph

A topological sorting of a directed acyclic graph is a linear ordering of its nodes where each node comes before all nodes to which it has edges.

- Keywords
- graphs

##### Usage

`topo_sort(graph, mode = c("out", "all", "in"))`

##### Arguments

- graph
The input graph, should be directed

- mode
Specifies how to use the direction of the edges. For “

`out`

”, the sorting order ensures that each node comes before all nodes to which it has edges, so nodes with no incoming edges go first. For “`in`

”, it is quite the opposite: each node comes before all nodes from which it receives edges. Nodes with no outgoing edges go first.

##### Details

Every DAG has at least one topological sort, and may have many. This function returns a possible topological sort among them. If the graph is not acyclic (it has at least one cycle), a partial topological sort is returned and a warning is issued.

##### Value

A vertex sequence (by default, but see the `return.vs.es`

option of `igraph_options`

) containing vertices in
topologically sorted order.

##### Examples

```
# NOT RUN {
g <- barabasi.game(100)
topo_sort(g)
# }
```

*Documentation reproduced from package igraph, version 1.2.4.2, License: GPL (>= 2)*