A cubic hypohamiltonian graph is a cubic graph that is also hypohamiltonian.
The numbers of cubic hypohamiltonian graphs on 2, 4, 6, ... vertices are 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 3, 1, 100, 52, 202, 304, ... (OEIS A305354; Goedgebeur and Zamfirescu 2017).
The figure above and the following table summarize small named cubic hypohamiltonian graphs.
| vertex count | cubic hypohamiltonian graphs |
| 10 | Petersen
graph  |
| 18 |  -Blanuša snarks |
| 20 | 5-flower snark |
| 22 | generalized
Petersen graph  , Loupekine snarks |
| 24 | 24-Thomassen graph |
| 26 |  -Blanuša snarks,
Celmins-Swart snarks |
| 28 | Coxeter graph, 7-flower snark |
| 30 | double star snark |
