Some other algebraic properties of folded hypercubes

S. Morteza Mirafzal

paper

Some other algebraic properties of folded hypercubes

arXiv:1103.4351

Abstract

We construct explicity the automorphism group of the folded hypercube $F Q_{n}$ of dimension $n > 3$ , as a semidirect product of $N$ by $M$ , where $N$ is isomorphic to the Abelian group $Z_{2}^{n}$ , and $M$ is isomorphic to $S y m (n + 1)$ , the symmetric group of degree $n + 1$ , then we will show that the folded hypercube $F Q_{n}$ is a symmetric graph.

to appear in Ars Combinatoria