Title : 
Connectivity Results of Hierarchical Cubic Networks as Associated with Linearly Many Faults
         
        
            Author : 
Cheng, Eddie ; Ke Qiu ; Zhizhang Shen
         
        
            Author_Institution : 
Dept. of Math. & Stat., Oakland Univ., Rochester, MI, USA
         
        
        
        
        
        
            Abstract : 
We establish a general fault-tolerance property for the interesting hierarchical cubic networks, when a linear number of vertices are removed from such a network. As its application, we discuss and derive several connectivity results of its underlying graph, including its restricted connectivity, cyclic vertex-connectivity, component connectivity, and conditional diagnosability. These results demonstrate several fault-tolerance properties of the hierarchical cubic networks.
         
        
            Keywords : 
fault tolerant computing; graph theory; hierarchical systems; component connectivity; conditional diagnosability; cyclic vertex-connectivity; fault-tolerance property; hierarchical cubic networks; linearly many faults; underlying graph; Computer science; Educational institutions; Electronic mail; Fault tolerance; Fault tolerant systems; Hypercubes; Routing; Hierarchical cubic network; fault-tolerance property; graph connectivity; parallel and distributed computing;
         
        
        
        
            Conference_Titel : 
Computational Science and Engineering (CSE), 2014 IEEE 17th International Conference on
         
        
            Conference_Location : 
Chengdu
         
        
            Print_ISBN : 
978-1-4799-7980-6
         
        
        
            DOI : 
10.1109/CSE.2014.235