Minimum congestion embedding of complete binary trees into tori

被引:0
|
作者
Matsubayashi, Akira [1 ,2 ]
Takasu, Ryo [1 ]
机构
[1] Faculty of Engineering, Utsunomiya University
[2] Faculty of Engineering, Kanazawa Universityy
关键词
Embedded systems - Parallel algorithms - Trees (mathematics);
D O I
暂无
中图分类号
学科分类号
摘要
We consider the problem of embedding complete binary trees into 2-dimensional tori with minimum (edge) congestion. The embedding proposed here achieves the minimum congestion and an almost minimum size of a torus (up to the constant term of 1). In particular, the embedding is optimal for the problem of embedding a 2n-1-vertex complete binary tree with an even integer n into a square torus with unit congestion.
引用
收藏
页码:1804 / 1808
相关论文
共 50 条
  • [1] Minimum congestion embedding of complete binary trees into tori
    Mitsubayashi, A
    Takasu, R
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2000, E83A (09): : 1804 - 1808
  • [2] Minimum average congestion of enhanced and augmented hypercubes into complete binary trees
    Manuel, Paul
    DISCRETE APPLIED MATHEMATICS, 2011, 159 (05) : 360 - 366
  • [3] Embedding of congestion-free complete binary trees with dilation two in star graphs
    Chen, YS
    Tseng, YC
    Juang, TY
    Chang, CJ
    ICA(3)PP 97 - 1997 3RD INTERNATIONAL CONFERENCE ON ALGORITHMS AND ARCHITECTURES FOR PARALLEL PROCESSING, 1997, : 331 - 344
  • [4] Embedding hierarchical folded cubes into linear arrays and complete binary trees with minimum wirelength
    Guo, Ruyan
    Wang, Yan
    Fan, Jianxi
    Fan, Weibei
    JOURNAL OF SUPERCOMPUTING, 2023, 79 (10): : 11300 - 11327
  • [5] Embedding hierarchical folded cubes into linear arrays and complete binary trees with minimum wirelength
    Ruyan Guo
    Yan Wang
    Jianxi Fan
    Weibei Fan
    The Journal of Supercomputing, 2023, 79 : 11300 - 11327
  • [6] Congestion-free, dilation-2 embedding of complete binary trees into star graphs
    Tseng, YC
    Chen, YS
    Juang, TY
    Chang, CJ
    NETWORKS, 1999, 33 (03) : 221 - 231
  • [7] Embedding complete binary trees in product graphs
    Broadwater, A
    Efe, K
    Fernandez, A
    GRAPH-THEORETIC CONCEPTS IN COMPUTER SCIENCE, 1997, 1197 : 56 - 66
  • [8] Embedding complete binary trees into parity cubes
    Zhao Liu
    Jianxi Fan
    Xiaohua Jia
    The Journal of Supercomputing, 2015, 71 : 1 - 27
  • [9] Embedding complete binary trees in product graphs
    Efe, K
    Broadwater, AL
    Fernandez, A
    TELECOMMUNICATION SYSTEMS, 2000, 13 (01) : 99 - 109
  • [10] EMBEDDING COMPLETE BINARY-TREES INTO HYPERCUBES
    LEISS, EL
    REDDY, HN
    INFORMATION PROCESSING LETTERS, 1991, 38 (04) : 197 - 199