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Diagnosability of a multiprocessor system is an important research topic. The system and interconnection network has a underlying topology, which usually presented by a graphG = ( V , E )    . In 2012, a measurement for fault tolerance of the graph was proposed by Peng et al. This measurement is called the g-good-neighbor diagnosability that restrains every fault-free node to contain at least g fault-free neighbors. Under the PMC model, to diagnose the system, two adjacent nodes in G are can perform tests on each other. Under the MM model, to diagnose the system, a node sends the same task to two of its neighbors, and then compares their responses. The MM* is a special case of the MM model and each node must test its any pair of adjacent nodes of the system. As a famous topology structure, the( n , k )    -arrangement graphA  n , k, has many good properties. In this paper, we give the g-good-neighbor diagnosability ofA  n , kunder the PMC model and MM* model.

g-Good-Neighbor Diagnosability of Arrangement Graphs under the PMC Model and MM* Model