CAJ | 학술논문

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 ，2n -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．
작위초립방체망락 Qn 적변형，n 유변형초립방체 VQn 구유허다우우초립방체소구유적성질．저리증명료대임하정수당∈[4，2n ]，VQn 중매조변피포함재장도위당적권중제비당＝5；대임하정점대（x ，y）화정수당∈[d ，2n -1]，기중，d 위저량점지간적거리，VQn 중존재장도위당적 xy 로제비당 d ＝1시당＝2，4．
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 .