Issue No. 02 - February (2012 vol. 61)
ISSN: 0018-9340
pp: 278-183
Chia-Wei Lee , National Cheng Kung University, Tainan
Sun-Yuan Hsieh , National Cheng Kung University, Tainan
ABSTRACT
A graph $G=(V,E)$ is said to be \emph{conditional k-edge-fault pancyclic} if, after removing $k$ faulty edges from $G$ and provided that each node is incident to at least two fault-free edges, the resulting graph contains a cycle of every length from its girth to $|V|$ inclusive. In this paper, we sketch the common properties of a class of networks called Matching Composition Networks (MCNs), such that the conditional edge-fault pancyclicity of MCNs can be determined from the derived properties. We then apply our technical theorem to show that an $m$-dimensional hyper-Petersen network is conditional $(2m-5)$-edge-fault pancyclic. \\ \noindent{\bf Keywords}: Conditional edge faults, fault-tolerant cycle embedding, matching composition networks, pancyclicity, multiprocessor systems.
INDEX TERMS
Network problems, Path and circuit problems
CITATION

C. Lee and S. Hsieh, "Pancyclicity of Matching Composition Networks under the Conditional Fault Model," in IEEE Transactions on Computers, vol. 61, no. , pp. 278-183, 2010.
doi:10.1109/TC.2010.229