Graph Embedding Aspect of IEH Graphs

نویسندگان

  • Hung-Yi Chang
  • Rong-Jaye Chen
چکیده

In order to overcome the drawback of the hypercube that the number of nodes is limited to a power of two, the incrementally extensible hypercube (IEH) graph is derived for an arbitrary number of nodes [12]. In this paper, we first prove that the incomplete hypercube (IH) is a spanning subgraph of IEH. Next, we present a new method to construct an IEH from an IH. From the aspect of graph embedding, we determine the minimum size of the IEH that contains a complete binary tree. We then embed a torus (with a side length as power of two) into an IEH with dilation 1 and expansion 1.

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عنوان ژورنال:
  • J. Inf. Sci. Eng.

دوره 17  شماره 

صفحات  -

تاریخ انتشار 2001