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ISSN:2394-3661 | Crossref DOI | SJIF: 5.138 | PIF: 3.854

International Journal of Engineering and Applied Sciences

(An ISO 9001:2008 Certified Online and Print Journal)

The Nature Diagnosability of Bubble-sort Star Graphs under the PMC Model and MM Model

( Volume 4 Issue 8,August 2017 ) OPEN ACCESS
Author(s):

Mujiangshan Wang, Yuqing Lin, Shiying Wang

Abstract:

Many multiprocessor systems have interconnection networks as underlying topologies and an interconnection network is usually represented by a graph where nodes represent processors and links represent communication links between processors. No fault set can contain all the neighbors of any fault-free vertex in the system, which is called the nature diagnosability of the system. Diagnosability of a multiprocessor system is one important study topic. As a famous topology structure of interconnection networks, the -dimensional  bubble-sort star graph  has many good properties. In this paper, we prove that the nature diagnosability of  is  under the PMC model for , the nature diagnosability of  is  under the MM model for .

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