No abstract

The diagnosis of faulty processors plays an important role in multiprocessor systems for reliable computing, and the diagnosability of many well-known networks has been explored. Zheng et al. showed that the diagnosability of *This work was supported in part by the National Science Council of the Republic of China under Contract NSC 95-2221-E-009-134-MY3. 83 J. Inter. Net. 2008.09:83-97. Downloaded from www.worldscientific.com by UNIVERSITY OF QUEENSLAND on 08/16/15. For personal use only. 84 C.-K. Lin et al. the n-dimensional star graph S n is n -1. Lai et al. introduced a restricted diagnosability of multiprocessor systems called conditional diagnosability. They consider the situation when no faulty set can contain all the neighbors of any vertex in the system. In this paper, we study the conditional diagnosability of Cayley graphs generated by transposition trees (which include the star graphs)under the comparison model, and show that it is 3n -8 for n > 4, except for the n-dimensional star graph, for which it is 3n -7. Hence the conditional diagnosability of these graphs is about three times larger than their classical diagnosability.

No abstract

No abstract