igraph (version 0.6-2)

graph.lcf: Creating a graph from LCF notation

Description

LCF is short for Lederberg-Coxeter-Frucht, it is a concise notation for 3-regular Hamiltonian graphs. It constists of three parameters, the number of vertices in the graph, a list of shifts giving additional edges to a cycle backbone and another integer giving how many times the shifts should be performed. See http://mathworld.wolfram.com/LCFNotation.html for details.

Usage

graph.lcf(n, shifts, repeats)

Arguments

n

Integer, the number of vertices in the graph.

shifts

Integer vector, the shifts.

repeats

Integer constant, how many times to repeat the shifts.

Value

• A graph object.

concept

LCF notation

See Also

graph can create arbitrary graphs, see also the other functions on the its manual page for creating special graphs.

Examples

# This is the Franklin graph:
g1 <- graph.lcf(12, c(5,-5), 6)
g2 <- graph.famous("Franklin")
graph.isomorphic.vf2(g1, g2)