Title :
Ring embedding in faulty augmented cubes
Author :
Hsu, Hong-Chun ; Chiang, Liang-Chih ; Tan, Jimmy J M ; Hsu, Lih-Hsing
Author_Institution :
Dept. of Comput. Sci. & Inf. Manage., Providence Univ., Shalu Taichung Country, Taiwan
Abstract :
In this paper, we consider the fault hamiltonicity and the fault Hamiltonian connectivity of the augmented cubes AQn. Assume that F ⊆ V(AQn) ∪ E(AQn) and n ≥ 4. We prove that AQn - F is Hamiltonian if |F| ≤ 2n-3 and that AQn - F is Hamiltonian connected if |F| ≤ 2n - 4. Moreover, these bounds are tight.
Keywords :
fault tolerant computing; graph theory; hypercube networks; network topology; fault hamiltonicity; fault liamiltonian connectivity; fault tolerant computing; faulty augmented cubes; hamiltonian connectivity; ring embedding; Computer science; Fault tolerance; Hypercubes; Information management; Information science; Joining processes; Multiprocessor interconnection networks; Network topology;
Conference_Titel :
Parallel Architectures, Algorithms and Networks, 2004. Proceedings. 7th International Symposium on
Print_ISBN :
0-7695-2135-5
DOI :
10.1109/ISPAN.2004.1300474