@article{8cefdd424137416eb32be65828ef189d, title = "The extra connectivity, extra conditional diagnosability and t/k-diagnosability of the data center network DCell", abstract = "Connectivity and diagnosability are two important metrics in evaluating the fault tolerability of a network. The g-extra connectivity and the g-extra conditional diagnosability are both defined under the restraint that every component of the network removing a faulty vertex set has at least g + 1 fault-free vertices. The t/k-diagnosability is an outstanding diagnosis strategy, in which the identified faulty vertex set is allowed to contain at most k fault-free vertices. As a well-known model for a large-scale data center network (DCN) with a server-centric structure, the m-dimensional DCell with n-port switches and tm,n servers, Dm,n, has many desirable properties. In this paper, we first investigate the g-extra connectivity of Dm,n for 0 ≤ g ≤ n − 1. Based on this, we establish the g-extra conditional diagnosability of Dm,n under the PMC model for 0 ≤ g ≤ n − 1. Finally, we evaluate the t/k-diagnosability of Dm,n under the PMC model for 1 ≤ k ≤ n − 1.", keywords = "Data center networks, DCell, Fault tolerance, g-extra conditional diagnosability, g-extra connectivity, PMC model, t/k-diagnosability", author = "Xiaoyan Li and Jianxi Fan and Cheng-Kuan Lin and Baolei Cheng and Xiaohua Jia", year = "2019", month = apr, day = "25", doi = "10.1016/j.tcs.2018.09.014", language = "English", volume = "766", pages = "16--29", journal = "Theoretical Computer Science", issn = "0304-3975", publisher = "ELSEVIER SCIENCE BV", }