# make_kautz_graph

From igraph v1.2.2
by Gabor Csardi

##### Kautz graphs

Kautz graphs are labeled graphs representing the overlap of strings.

- Keywords
- graphs

##### Usage

`make_kautz_graph(m, n)`kautz_graph(...)

##### Arguments

- m
Integer scalar, the size of the alphabet. See details below.

- n
Integer scalar, the length of the labels. See details below.

- ...
Passed to

`make_kautz_graph`

.

##### Details

A Kautz graph is a labeled graph, vertices are labeled by strings of length
`n+1`

above an alphabet with `m+1`

letters, with the restriction
that every two consecutive letters in the string must be different. There is
a directed edge from a vertex `v`

to another vertex `w`

if it is
possible to transform the string of `v`

into the string of `w`

by
removing the first letter and appending a letter to it.

Kautz graphs have some interesting properties, see eg. Wikipedia for details.

##### Value

A graph object.

##### See Also

##### Examples

```
# NOT RUN {
make_line_graph(make_kautz_graph(2,1))
make_kautz_graph(2,2)
# }
```

*Documentation reproduced from package igraph, version 1.2.2, License: GPL (>= 2)*

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