Cycles Embedding of Twisted Cubes

The twisted cube $TQ_n$ is an alternative to the popular hypercube network and some interesting properties of $TQ_n$ were investigated recently. The problem of how to embed cycles into a host graph has attracted a great attention in recent years. However, there are few systematic methods proposed to generate the desired cycles in $TQ_n$. In this paper, we provide two kinds of systematic methods of embedding cycles into $TQ_n$.