An optimal embedding of incomplete binary trees onto incomplete hypercubes

It has been proved that incomplete binary trees can not be embedded onto incomplete hypercubes with both expansion-1 and dilation-1. In this paper we propose an optimal embedding algorithm to embed this issue with expansion-1, dilation-2. Our algorithm is a linear time algorithm, which is optimal in terms of time complexity. Furthermore, the embedding scheme is as desirable to be simple such that the implementation is quite easy.