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Hyper-Star Graphs: Some Topological Properties and an Optimal Neighbourhood Broadcasting Algorithm

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Book cover Algorithms and Architectures for Parallel Processing (ICA3PP 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8630))

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Abstract

Hyper-star graph HS(2n,n) was introduced to be a competitive model to both hypercubes and star graphs. In this paper, we study its properties by giving a closed form solution to the surface area of HS(2n,n) and discussing its Hamiltonicity by establishing an isomorphism between the graph and the well known middle levels problem. We also develop a single-port optimal neighbourhood broadcasting algorithm for HS(2n,n).

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Zhang, F., Qiu, K., Kim, J.S. (2014). Hyper-Star Graphs: Some Topological Properties and an Optimal Neighbourhood Broadcasting Algorithm. In: Sun, Xh., et al. Algorithms and Architectures for Parallel Processing. ICA3PP 2014. Lecture Notes in Computer Science, vol 8630. Springer, Cham. https://doi.org/10.1007/978-3-319-11197-1_40

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  • DOI: https://doi.org/10.1007/978-3-319-11197-1_40

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11196-4

  • Online ISBN: 978-3-319-11197-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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