Embedding Cycles and Paths in Product Networks and Their Applications to Multiprocessor Systems

作者：Lin Tsong Jie^*; Hsieh Sun Yuan; Juan Justie Su Tzu

来源：IEEE Transactions on Parallel and Distributed Systems, 2012, 23(6): 1081-1089.

DOI：10.1109/TPDS.2011.245

• Cartesian product networks
• cycle embedding
• generalized hypercubes
• nearest neighbor mesh hypercubes
• pancycle problem
• panconnectivity problem
• path embedding

In this paper, we consider two embedding problems in Cartesian product networks: one is the pancycle problem, which involves embedding cycles of various lengths in the given product network; and the other is the panconnectivity problem, which involves embedding paths of various lengths between any pair of distinct nodes in the given product network. We then apply our technical lemmas and theorems to derive new topological properties of two multiprocessor systems, namely, generalized hypercubes and nearest neighbor mesh hypercubes.

• 出版日期2012-6