|標題:||Topological Properties on the Wide and Fault Diameters of Exchanged Hypercubes|
Tan, Jimmy J. M.
Department of Computer Science
|關鍵字:||Hypercube;exchanged hypercube;interconnection network;internally vertex-disjoint paths;wide diameter;fault diameter|
|摘要:||The n-dimensional hypercube is one of the most popular topological structure for interconnection networks in parallel computing and communication systems. The exchanged hypercube EH(s, t), a variant of the hypercube, retains several valuable and desirable properties of the hypercube such as a small diameter, bipancyclicity, and super connectivity. In this paper, we construct s + 1 (or t + 1) internally vertex-disjoint paths between any two vertices for parallel routes in the exchanged hypercube EH(s,t) for 3 <= s <= t. We also show that both the (s + 1)-wide diameter and s-fault diameter of the exchanged hypercube EH(s,t) are s + t + 3 for 3 <= s <= t.|
|期刊:||IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS|