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KMcube: the compound of Kautz digraph and Möbius cube

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Abstract

This paper introduces a novel interconnection network called KMcube (Kautz-Möbius cube). KMcube is a compound graph of a Kautz digraph and Möbius cubes. That is, it uses the Möbius cubes as the unit cluster and connects many such clusters by means of a Kautz digraph at the cost of only one additional arc being added to any node in each Möbius cubes. The topological benefits of both basic graphs are preserved in the compound network. It utilizes the topological properties of Möbius cubes to conveniently embed parallel algorithms into each cluster and the short diameter of a Kautz digraph to support efficient inter-cluster communication. Additionally, KMcube provides other attractive properties, such as the regularity, symmetry, and expandability. The proposed methodology for KMcube is further applied to the compound graphs of Kautz digraph and other Möbius-like graphs with the similar diameter to a Möbius cube. Moreover, other hybrid graphs of Kautz digraph and Möbius cubes are proposed and compared.

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Authors and Affiliations

  1. National Key Laboratory of Information System Engineering, School of Information System and Management, National University of Defense Technology, Changsha, 410073, China

    Xianpeng Huangfu, Deke Guo, Honghui Chen & Xueshan Luo

Authors
  1. Xianpeng Huangfu
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  2. Deke Guo
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  3. Honghui Chen
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  4. Xueshan Luo
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Corresponding author

Correspondence to Deke Guo.

Additional information

Xianpeng Huangfu received the MS degree in operational research from the National University of Defense Technology (NUDT), Changsha, China in 2008. Currently, he is a PhD student in operational research in NUDT. His main interests include interconnection networks, information grid, and service computing.

Deke Guo received the BS degree in industry engineering from Beihang University, Beijing, China in 2001, and the PhD degree in management science and engineering from NUDT, China in 2008. He was a visiting scholar at the Department of Computer Science and Engineering in Hong Kong University of Science and Technology, China from 2007 to 2009. He is an associate professor with the College of Information System and Management, NUDT, Changsha, China. His research interests include distributed systems, wireless and mobile systems, P2P networks, and interconnection networks. He is a member of the ACM and the IEEE.

Honghui Chen received the MS degree in operational research and the PhD degree in management science and engineering from NUDT, China in 1994 and 2007, respectively. Currently, he is a professor of information system and management, NUDT. His research interests are requirement engineering, Web services, information grid, and peer-to-peer networks. He has coauthored three books in the past five years.

Xueshan Luo received the BE degree in information engineering from Huazhong Institute of Technology, Wuhan, China in 1985, and the MS and PhD degrees in system engineering from NUDT, China in 1988 and 1992, respectively. He was a faculty member and an associate professor at NUDT from 1992 to 1994 and from 1995 to 1998, respectively. Currently, he is a professor of information system and management, NUDT. His research interests are in the general areas of information system and operation research. His current research focuses on architecture of information system.

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Huangfu, X., Guo, D., Chen, H. et al. KMcube: the compound of Kautz digraph and Möbius cube. Front. Comput. Sci. 7, 298–306 (2013). https://doi.org/10.1007/s11704-013-2016-7

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  • DOI: https://doi.org/10.1007/s11704-013-2016-7

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