中文摘要：

考虑包含故障边的n（n≥3）维变形超立方体VQn，证明了：如果故障边数不超过n-2，那么VQn包含非故障边的Hamilton圈；如果故障边数不超过n-3，那么对任何两个不同顶点x和y，VQn包含非故障边的xy—Hamilton路．该证明方法采用归纳法.

英文摘要：

The varietal hypercube VQn, a variant of the hypercube Qn, was studied. It was proved that VQn contains a fault-free Hamilton cycle provided faulty edges do not exceed n-2, and that for two distinct vertices, x and y, there is a fault-free xy-Hamilton path in VQ, provided faulty edges do not exceed n-3 for n≥3. The proof is based on an inductive construction.