linguistic:paraphrasing, structural:scholar_edition
Definition and notation

In Watkins' notation, G (n, k) is a graph with vertex set

and edge set

where subscripts are to be read modulo n and k < n /2. Some authors use the notation GPG (n, k). Coxeter's notation for the same graph would be { n } + { n / k }, a combination of the Schläfli symbols for the regular n -gon and star polygon from which the graph is formed. The Petersen graph itself is G (5, 2) or {5} + {5/2}.

Any generalized Petersen graph can also be constructed from a voltage graph with two vertices, two self-loops, and one other edge.