In this paper, we study the system diagnosis on an n-dimensional star under the comparison model. Following the concept of local diagnosability , the strong local diagnosability property  is discussed; this property describes the equivalence of the local diagnosability of a node and its degree. We prove that an n-dimensional star has this property, and it keeps this strong property even if there exist n - 3 missing edges in it. (C) 2011 Elsevier Inc. All rights reserved.
- Star graph; Comparison diagnosis model; MM* diagnosis model; Local diagnosability; Extended star structure; Strong local diagnosability property