A graph represented by the LCF notation jumps^exp. LCF (Lederberg-Coxeter-Frucht) notation is a convenient notation for the representation of cubic graphs which contain a Hamiltonian cycle.

$\mathrm{with}\left(\mathrm{GraphTheory}\right)\:$$\mathrm{with}\left(\mathrm{SpecialGraphs}\right)\:$

$G≔\mathrm{LCFGraph}\left(\left[3\,-3\right]\,4\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 8\; vertices\; and\; 12\; edge(s)}$

$\mathrm{DrawGraph}\left(G\right)$

$H≔\mathrm{HypercubeGraph}\left(3\right)$

$H≔\mathrm{Graph\; 2:\; an\; undirected\; graph\; with\; 8\; vertices\; and\; 12\; edge(s)}$

$\mathrm{DrawGraph}\left(H\right)$

Pisanski, Tomaž; Servatius, Brigitte (2013), "2.3.2 Cubic graphs and LCF notation", Configurations from a Graphical Viewpoint, Birkhäuser Advanced Texts Basler Lehrbücher, p.32.

"LCF Notation", Wikipedia. http://en.wikipedia.org/wiki/LCF_notation