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All-fault-tolerant embedding of a complete binary tree in a group of Cayley graphs

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1 Author(s)
Chiun-Chieh Hsu ; Dept. of Inf. Manage., Nat. Taiwan Inst. of Technol., Taipei, Taiwan

This paper proposes an approach for embedding a complete binary tree with height k×(n-2k+1)+(k-2)×2k+1, where k=[log n], into an n-dimensional complete transposition graph (CTn), star graph (STn), and bubblesort graph (BSn) with dilations 1,3, and 2n-3 respectively. Furthermore, a fault-tolerant scheme is developed to recover multiple faults, and the dilations after recovery become at most 3,5, and 2n-1 for the CTn, STn , and BSn respectively

Published in:

Parallel and Distributed Systems, 1996. Proceedings., 1996 International Conference on

Date of Conference:

3-6 Jun 1996