Some examples of set properties P and the corresponding Scheinerman classes occuring in the literature are:
| P | G(P) |
| intervals in R | interval graphs |
| length-1 intervals in R | unit interval graphs |
| graphs of continuous functions f: [0,1]
|
cocomparability graphs |
| Jordan curves in R2 | string graphs |
| circular arcs of the unit circle | circular-arc graphs |
| chords of the unit circle | circle graphs |
| disks of radius 1 in R2 | unit-disk graphs |
| 2-element sets | line graphs of multigraphs |
| P | G0(P) |
| k-element sets | int. graphs of k-uniform hypergraphs |
| 2-element sets | line graphs |