# graph.kautz

From igraph v0.5.3
by Gabor Csardi

##### Kautz graphs

Kautz graphs are labeled graphs representing the overlap of strings.

- Keywords
- graphs

##### Usage

`graph.kautz(m,n)`

##### Arguments

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

##### 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.

##### concept

Kautz graph

##### See Also

##### Examples

```
line.graph(graph.kautz(2,1))
graph.kautz(2,2)
```

*Documentation reproduced from package igraph, version 0.5.3, License: GPL (>= 2)*

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