Automorphism group of the balanced hypercube

作者：Zhou, Jin-Xin^*; Kwak, Jin Ho; Feng, Yan-Quan; Wu, Zhen-Lin

来源：Ars Mathematica Contemporanea, 2017, 12(1): 145-154.

• Automorphism group
• balanced hypercube
• Cayley graph
• arc-transitive

Huang and Wu in [IEEE Transactions on Computers 46 (1997), pp. 484-490] introduced the balanced hypercube BHn as an interconnection network topology for computing systems. In this paper, we completely determine the full automorphism group of the balanced hypercube. Applying this, we first show that the n-dimensional balanced hypercube BHn is arc-transitive but not 2-arc-transitive whenever n >= 2. Then, we show that BHn is a lexicographic product of an n-valent graph X-n and the null graph with two vertices, where X-n is a Z(2)(n-1)-regular cover of the n-dimensional hypercube Q(n).

• 单位
  北京交通大学