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NCUEIR > College of Engineering > Department and Graduate Institute of Computer Science and Information Engineering > Periodical Articles > Item 987654321/9979

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/9979

Title:	Embedding Incomplete Binary Trees into Incomplete Hypercubes
Authors:	Huang, C. H.;Hsiao, Ju-Yuan;Lee, R. C. T.
Contributors:	資訊工程系
Keywords:	Embedding;Incomplete binary tree;Incomplete hypcraibe;Ll'oriiihole routing
Date:	1999
Issue Date:	2012-05-02T09:37:12Z
Publisher:	Institute of Electrical Engineers
Abstract:	It has been proved that an incomplete binary tree cannot be embedded into an incomplete hypercube with dilation 1 and expansion 1. By applying some properties of inorder traversal, the authors present an embedding scheme with dilation 2, edge-congestion 2 and expansion ratio (N+1)/N, where N is the number of nodes in an incomplete binary tree. The authors prove that this embedding is optimal under the constraint of expansion ratio (N+1)/N. With this embedding scheme, a method is developed that can be used to simulate a binary tree on an incomplete hypercube effectively. Under the distributed environment, the mapping addresses of neighbouring nodes in an incomplete binary tree can be identified in constant time without repeating the mapping work. Furthermore, experimental results show that this scheme is much better than the corresponding best known dilation 1 embedding scheme in terms of hardware costs and implementation. Even in total time costs (addressing time, computation time and transmission time), this approach is quite competitive
Relation:	IEE Proceeding-Computers and Digital Techniques, 145(6): 377-384
Appears in Collections:	[Department and Graduate Institute of Computer Science and Information Engineering] Periodical Articles

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