Algebraic Properties and Panconnectivity of Folded Hypercubes

Geodesic-pancyclicity and fault-tolerant panconnectivity of augmented cubes

Choudum and Sunitha [Networks 40 (2002) 71–84] proposed the class of augmented cubes as a variation of hypercubes and showed that augmented cubes possess several embedding properties that the hypercubes and other variations do not possess. Recently, Hsu et al. [Information Processing Letters 101 (2007) 227–232] showed that the ndimensional augmented cube AQn, n 2, is weakly geodesic-pancyclic, ...

Edge-fault-tolerant properties of hypercubes and folded hypercubes

Novel Hierarchical Interconnection Networks for High-Performance Multicomputer Systems

This paper proposes several novel hierarchical interconnection networks based on Heawood graphs, namely, folded Heawood networks, root-folded Heawood networks, recursively expanded Heawood networks, and flooded Heawood networks. Like hypercubes and networks extended from Petersen networks, these hierarchical Heawood networks have the following properties: regular topology, high scalability, and...

A General Construction for Space-filling Latin Hypercubes

Abstract: We propose a general method for constructing Latin hypercubes of flexible run sizes for computer experiments. The method makes use of arrays with a special structure and Latin hypercubes. By using different such arrays and Latin hypercubes, the proposed method produces various types of Latin hypercubes including orthogonal and nearly orthogonal Latin hypercubes, sliced Latin hypercube...

A general technique to establish the asymptotic conditional diagnosability of interconnection networks

We develop a general and demonstrably widely applicable technique for determining the asymptotic conditional diagnosability of interconnection networks prevalent within parallel computing under the comparison diagnosis model. We apply our technique to replicate (yet extend) existing results for hypercubes and k-ary n-cubes before going on to obtain new results as regards folded hypercubes, panc...