|標題:||The g-good-neighbor conditional diagnosability of hypercube under PMC model|
Tan, Jimmy J. M.
Department of Computer Science
|關鍵字:||Hypercube;PMC diagnosis model;t-diagnosable;Diagnosability;g-good-neighbor conditional diagnosability|
|摘要:||Processor fault diagnosis plays an important role in multiprocessor systems for reliable computing, and the diagnosability of many well-known networks has been explored. For example, hypercubes, crossed cubes, mobius cubes, and twisted cubes of dimension n all have diagnosability n. The conditional diagnosability of n-dimensional hypercube Q(n) is proved to be 4( n - 2) + 1 under the PMC model. In this paper, we study the g-good-neighbor conditional diagnosability of Q(n) under the PMC model and show that it is 2(g)(n - g) + 2(g) - 1 for 0 <= g <= n - 3. The g-good-neighbor conditional diagnosability of Q(n) is several times larger than the classical diagnosability. (C) 2012 Elsevier Inc. All rights reserved.|
|期刊:||APPLIED MATHEMATICS AND COMPUTATION|