Use this if you are using igraph from R
| graph_from_lcf {igraph} | R Documentation | 
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.
graph_from_lcf(n, shifts, repeats = 1)
| n | Integer, the number of vertices in the graph. | 
| shifts | Integer vector, the shifts. | 
| repeats | Integer constant, how many times to repeat the shifts. | 
A graph object.
Gabor Csardi csardi.gabor@gmail.com
graph can create arbitrary graphs, see also the other
functions on the its manual page for creating special graphs.
# This is the Franklin graph:
g1 <- graph_from_lcf(12, c(5,-5), 6)
g2 <- make_graph("Franklin")
isomorphic(g1, g2)