Conditional diagnosability of the SPn graphs under the comparison diagnosis model

The conditional diagnosability of a system refers to the maximum cardinality of the conditional faulty sets can be identified by the system. The problem of conditional diagnosability is discussed widely. In this paper, we analyze the extra connectivities and the conditional diagnosability of a family of networks, called the SPn graphs. Applying the result, we determine the g-extra connectivity (1 ≤ g ≤ 3) and the conditional diagnosability of the star graphs and the pancake graphs under the comparison diagnosis model, respectively.