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- W2280834419 abstract "We study recursive cubes of rings as models for interconnection networks. We first redefine each of them as a Cayley graph on the semidirect product of an elementary abelian group by a cyclic group in order to facilitate the study of them by using algebraic tools. We give an algorithm for computing shortest paths and the distance between any two vertices in recursive cubes of rings, and obtain the exact value of their diameters. We obtain sharp bounds on the Wiener index, vertex-forwarding index, edge-forwarding index and bisection width of recursive cubes of rings. The cube-connected cycles and cube-of-rings are special recursive cubes of rings, and hence all results obtained in the paper apply to these well-known networks." @default.
- W2280834419 created "2016-06-24" @default.
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- W2280834419 date "2016-02-23" @default.
- W2280834419 modified "2023-09-27" @default.
- W2280834419 title "Recursive cubes of rings as models for interconnection networks" @default.
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- W2280834419 doi "https://doi.org/10.48550/arxiv.1602.07374" @default.
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