Enumerating the graphs upto $9$ vertices and the cubic connected graphs upto $18$ vertices, I did not find a graph with minimum degree $\ge 3$ and exact $1$ hamilton circuit.
- Is there a graph with this property ?
- If yes, which one is the smallest ?
2026-03-25 23:37:34.1774481854
Graph with minimum degree $\ge 3$ and exact $1$ hamilton circuit
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