Theoretical Research on Topological Properties of Generalized K-Ary n-Cube Interconnection Network

被引:0
作者
Yao, Bin [1 ]
Li, Haisen [1 ]
Zhou, Tian [1 ]
Chen, Baowei [1 ]
机构
[1] Harbin Engn Univ, Harbin 150001, Peoples R China
来源
PROCEEDINGS OF THE 9TH INTERNATIONAL CONFERENCE FOR YOUNG COMPUTER SCIENTISTS, VOLS 1-5 | 2008年
关键词
Generalized K-ary n-cube; topological properties; surface area; volume;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The k-ary n-cube interconnection network has been widely used in the multi-computer and parallel processing system. When the numbers of the nodes at some dimensions in the k-ary n-cube network are different, the generalized K-ary n-cube interconnection network is proposed and defined using cross product of the cycles. Some topological properties of this new network were proved, then a recursive expression of surface area and volume in the network were proposed and proved. At last, the non-recursive expression of the surface area and volume in the k-ary n-cube network were proved.
引用
收藏
页码:106 / 111
页数:6
相关论文
共 11 条
  • [1] A GROUP-THEORETIC MODEL FOR SYMMETRIC INTERCONNECTION NETWORKS
    AKERS, SB
    KRISHNAMURTHY, B
    [J]. IEEE TRANSACTIONS ON COMPUTERS, 1989, 38 (04) : 555 - 566
  • [2] Anderson E., 1997, P 1997 ACM IEEE C SU, P39
  • [3] Resource placement in torus-based networks
    Bae, MM
    Bose, B
    [J]. IEEE TRANSACTIONS ON COMPUTERS, 1997, 46 (10) : 1083 - 1092
  • [4] BIN Y, 2007, NAT ANN C HIGH PERF, P746
  • [5] LEE DISTANCE AND TOPOLOGICAL PROPERTIES OF K-ARY N-CUBES
    BOSE, B
    BROEG, B
    KWON, Y
    ASHIR, Y
    [J]. IEEE TRANSACTIONS ON COMPUTERS, 1995, 44 (08) : 1021 - 1030
  • [6] PERFORMANCE ANALYSIS OF K-ARY N-CUBE INTERCONNECTION NETWORKS
    DALLY, WJ
    [J]. IEEE TRANSACTIONS ON COMPUTERS, 1990, 39 (06) : 775 - 785
  • [7] The cross product of interconnection networks
    Day, K
    AlAyyoub, AE
    [J]. IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS, 1997, 8 (02) : 109 - 118
  • [8] KESSLER RE, 1993, COMPCON SPRING 93, P176
  • [9] PARK S, 2002, P INT PAR DISTR PROC, P38
  • [10] On some properties of k-Ary n-Cubes
    Sarbazi-Azad, H
    Ould-Khaoua, M
    Mackenzie, LM
    Akl, SG
    [J]. PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON PARALLEL AND DISTRIBUTED SYSTEMS, 2001, : 517 - 524