Background: Many multiprocessor systems have interconnection networks as underlying
topologies and an interconnection network is usually represented by a graph where nodes represent
processors and links represent communication links between processors.
Methods: The diagnosability of the system plays an important role in measuring the fault tolerance of the
interconnection network. The n -alternating group graph has many favorable properties such as vertex and
edge symmetry, recursive structure, high connectivity, small diameter and average distance, etc., which
make it favorable as a network topology for the system.
Results: The diagnosability of an interconnection network G is less than or equal to the minimum degree of
G . G has the strong local diagnosaility property if the local diagnosability of every vertex equals to its
degree in G . In this paper, we prove that the n -alternating group graph has the strong local diagnosability
property even if there exist (2n - 7) missing edges in it under the MM* model.
Conclusion: In this paper, we studied the diagnosis of an n -dimensional alternating group graph n AG
under the MM* model. We proved that n AG has the strong local diagnosability property, and keeps this
strong property even if there exists up to (2n - 7) missing edges in it. As a result, the diagnosability of
n AG with arbitrary missing links can be obtained as the minimum value among the remaining degree of
every processor, provided that the cardinality of the set of missing links does not exceed 2n - 7 .