graph.kautz

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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

graph.de.bruijn, line.graph

Aliases
  • graph.kautz
Examples
line.graph(graph.kautz(2,1))
graph.kautz(2,2)
Documentation reproduced from package igraph, version 0.5.5-3, License: GPL (>= 2)

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