Topological and Communication Aspects of Hyper-Star Graphs

  • Jong-Seok Kim
  • Eunseuk Oh
  • Hyeong-Ok Lee
  • Yeong-Nam Heo
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2869)


A hyper-star graph HS(m,k) has been introduced as a class of lower cost interconnection networks. Hyper-star graph has more merit than hypercube when degree × diameter is used as a cost measure. In other words, they have smaller degree and diameter than hypercubes. In this paper, we consider some of the important properties of hyper-star graphs such as symmetry, w-diameter, and fault diameter. We show that HS(2n,n) is node-symmetric. We also show that the w-diameter of HS(2n,n) is bounded by the shortest path length plus 4, and fault diameter of HS(2n,n) is bounded by its diameter plus 2. In addition, we introduce an efficient broadcasting scheme in hyper-star graphs based on a spanning tree with minimum height.


Short Path Span Tree Source Node Cayley Graph Interconnection Network 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Jong-Seok Kim
    • 1
  • Eunseuk Oh
    • 2
  • Hyeong-Ok Lee
    • 3
  • Yeong-Nam Heo
    • 1
  1. 1.Department of Computer ScienceSunchon National UniversitySunchon, ChonnamKOREA
  2. 2.Department of Computer ScienceTexas A&M UniversityCollege StationUSA
  3. 3.Department of Computer EducationSunchon National UniversityChonnamKOREA

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