中文摘要：

作为超立方体网络 Qn 的变形，n 维变形超立方体 VQn 具有许多优于超立方体所具有的性质．这里证明了对任何整数瞊∈[4，2n ]，VQn 中每条边被包含在长度为瞊的圈中除非瞊＝5；对任何顶点对（x ，y）和整数瞊∈[d ，2^n -1]，其中，d 为这两点之间的距离，VQn 中存在长度为瞊的 xy 路除非当 d ＝1时瞊＝2，4．

英文摘要：

The varietal hypercube VQn is a variant of the hypercube Qn and has better properties than Qn with the same number of edges and vertices .It was proved that every edge of VQn is contained in cycles of every length from 4 to 2 n except 5 ,and that every pair of vertices with distance d is connected by paths of every length from d to 2 n - 1 except 2 and 4 if d = 1 .