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Hamiltonicity, vertex symmetry, and broadcasting of uni-directional hypercubes

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3 Author(s)
Shyh-Chain Chern ; Dept. of Appl. Math., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan ; Tai-Ching Tuan ; Jwo, J.-S.

We show that the two uni-directional n-cubes, namely UHC1n and UHC2n proposed by Chou and Du (1990) as interconnection schemes are Hamiltonian. In addition, we show that (1) if n is even, both architectures are vertex symmetric; and (2) if n is odd, both architectures have exactly two vertex-symmetric components. By studying symmetry, we further prove that the maximum delay of one-port one-to-all broadcasting for either architecture is at most 1.5n

Published in:

Parallel Algorithms/Architecture Synthesis, 1995. Proceedings., First Aizu International Symposium on

Date of Conference:

15-17 Mar 1995