The conditional diagnosability of locally twisted cubes

Abstract

The growing size of the multiprocessor systems increases their vulnerability to component failures. It is crucial to locate and to replace the faulty processors to maintain system's high reliability. The fault diagnosis is the process of identifying faulty processors in a system through testing. The conditional diagnosis requires that for each processor v in a system, all the processors that are directly connected to v do not fail at the same time. In this paper, the conditional diagnosability of the locally twisted cubes LTQ n under the comparison diagnosis model is 3n-5 when n≫6. Hence the conditional diagnosability of LTQ n is three times larger than its classical diagnosability.