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1999 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '99)
An Optimal Embedding of Incomplete Binary Trees onto Incomplete Hypercubes
Fremantle, Australia
June 23-June 25
ISBN: 0-7695-0231-8
Chien-Hung Huang, National Tsing Hua University
Ju-Yuan Hsiao, National Changhua University of Education
R.C.T. Lee, Providence University
Jywe-Fei Fang, Tung Nan Junior College of Technology
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.
Citation:
Chien-Hung Huang, Ju-Yuan Hsiao, R.C.T. Lee, Jywe-Fei Fang, "An Optimal Embedding of Incomplete Binary Trees onto Incomplete Hypercubes," ispan, pp.80, 1999 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '99), 1999
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