Diagnosable evaluation of DCC linear congruential graphs under the PMC diagnostic model
نویسندگان
چکیده
A DCC (disjoint consecutive cycles) linear congruential graph G(F,n) consists of n nodes and is generated by a set of linear functions F with special properties. It was proved that G(F,n) is a 2t-regular graph and has connectivity 2t, where t 1⁄4 jFj and 1 6 t 6 p 1 (n 1⁄4 2 for some integer p). For a multiprocessor system, its diagnosability is critical to measure the performance. In this paper, we study the diagnosability of GðF;2Þ under the precise and pessimistic diagnosis strategies based on the PMC (Preparata, Metze, and Chien) diagnostic model. It is proved that GðF;2Þ is 2t-diagnosable and ð4t 5Þ=ð4t 5Þ-diagnosable under the two diagnosis strategies, respectively, where p P 3 and 2 6 t 6 p 1. In addition, the diagnosability of DCC linear congruential graphs is compared with that of BC (bijective connection) graphs. 2009 Elsevier Inc. All rights reserved.
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عنوان ژورنال:
- Inf. Sci.
دوره 179 شماره
صفحات -
تاریخ انتشار 2009