igraph (version 1.2.6)

make_de_bruijn_graph: De Bruijn graphs

Description

De Bruijn graphs are labeled graphs representing the overlap of strings.

Usage

make_de_bruijn_graph(m, n)
de_bruijn_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_de_bruijn_graph.

Value

A graph object.

Details

A de Bruijn graph represents relationships between strings. An alphabet of m letters are used and strings of length n are considered. A vertex corresponds to every possible string and there is a directed edge from vertex v to vertex w if the string of v can be transformed into the string of w by removing its first letter and appending a letter to it.

Please note that the graph will have m to the power n vertices and even more edges, so probably you don't want to supply too big numbers for m and n.

De Bruijn graphs have some interesting properties, please see another source, eg. Wikipedia for details.

See Also

make_kautz_graph, make_line_graph

Examples

# NOT RUN {
# de Bruijn graphs can be created recursively by line graphs as well
g <- make_de_bruijn_graph(2,1)
make_de_bruijn_graph(2,2)
make_line_graph(g)
# }