TY - GEN
T1 - Fault-tolerant hamiltonicity of augmented cubes under the conditional fault model
AU - Hsieh, Sun Yuan
AU - Cian, Yi Ru
PY - 2009
Y1 - 2009
N2 - The augmented cube is a variation of hypercubes, which possesses many properties superior to the hypercubes. In this paper, we show that, for any n-dimensional augmented cube (n > 3) with 4n - 8 faulty edges in which each vertex is incident to at least two fault-free edges, there exists a fault-free Hamiltonian cycle. Our result is optimal with respect to the number of faulty edges tolerated.
AB - The augmented cube is a variation of hypercubes, which possesses many properties superior to the hypercubes. In this paper, we show that, for any n-dimensional augmented cube (n > 3) with 4n - 8 faulty edges in which each vertex is incident to at least two fault-free edges, there exists a fault-free Hamiltonian cycle. Our result is optimal with respect to the number of faulty edges tolerated.
UR - http://www.scopus.com/inward/record.url?scp=70349133574&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70349133574&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-03095-6_63
DO - 10.1007/978-3-642-03095-6_63
M3 - Conference contribution
AN - SCOPUS:70349133574
SN - 3642030947
SN - 9783642030949
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 673
EP - 683
BT - Algorithms and Architectures for Parallel Processing - 9th International Conference, ICA3PP 2009, Proceedings
T2 - 9th International Conference on Algorithms and Architectures for Parallel Processing, ICA3PP 2009
Y2 - 8 June 2009 through 11 June 2009
ER -