A planar connected graph is a graph which is both planar and connected. The numbers of planar connected
graphs with ,
2, ... nodes are 1, 1, 2, 6, 20, 99, 646, 5974, 71885, ... (OEIS A003094;
Steinbach 1990, p. 131). A subset of planar 3-connected graphs are called polyhedral graphs.

The following table gives the numbers of planar connected graphs having minimal degrees of at least .