Optimal sequential and parallel algorithms to compute a Steiner tree on permutation graphs

被引:0
|
作者
Mondal, S [1 ]
Pal, M [1 ]
Pal, TK [1 ]
机构
[1] Vidyasagar Univ, Dept Appl Math Oceanol & Comp Programming, Midnapore 721102, W Bengal, India
关键词
parallel algorithms; analysis of algorithms; Steiner set; Steiner tree; permutation graphs;
D O I
10.1080/0020716031000112330
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper presents an optimal sequential and an optimal parallel algorithm to compute a minimum cardinality Steiner set and a Steiner tree. The sequential algorithm takes O (n) time and parallel algorithm takes O (log n) time and O (n /log n) processors on an EREW PRAM model.
引用
收藏
页码:937 / 943
页数:7
相关论文
共 50 条
  • [1] The optimal sequential and parallel algorithms to compute all hinge vertices on interval graphs
    Debashis Bera
    Madhumangal Pal
    Tapan K. Pal
    [J]. Korean Journal of Computational and Applied Mathematics, 2001, 8 (2): : 295 - 309
  • [2] Optimal Sequential and Parallel Algorithms to Compute All Cut Vertices on Trapezoid Graphs
    Mrinmoy Hota
    Madhumangal Pal
    Tapan K. Pal
    [J]. Computational Optimization and Applications, 2004, 27 : 95 - 113
  • [3] Optimal sequential and parallel algorithms to compute all cut vertices on trapezoid graphs
    Hota, M
    Pal, M
    Pal, TK
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2004, 27 (01) : 95 - 113
  • [4] An optimal parallel algorithm to compute all cutvertices and blocks on permutation graphs
    Bera, D
    Pal, M
    Pal, TK
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1999, 72 (04) : 449 - 462
  • [5] PARALLEL ALGORITHMS FOR PERMUTATION GRAPHS
    YU, CW
    CHEN, GH
    [J]. BIT NUMERICAL MATHEMATICS, 1993, 33 (03) : 413 - 419
  • [6] An Optimal Parallel Algorithm for Constructing a Spanning Tree on Circular Permutation Graphs
    Honma, Hirotoshi
    Honma, Saki
    Masuyama, Shigeru
    [J]. IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS, 2009, E92D (02) : 141 - 148
  • [7] Parallel Algorithms for Steiner Tree Problem
    Park, Joon-Sang
    Ro, Won W.
    Lee, Handuck
    Park, Neungsoo
    [J]. THIRD 2008 INTERNATIONAL CONFERENCE ON CONVERGENCE AND HYBRID INFORMATION TECHNOLOGY, VOL 1, PROCEEDINGS, 2008, : 453 - +
  • [8] EFFICIENT PARALLEL ALGORITHMS FOR PERMUTATION GRAPHS
    ARVIND, K
    KAMAKOTI, V
    RANGAN, CP
    [J]. JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING, 1995, 26 (01) : 116 - 124
  • [9] SEQUENTIAL AND PARALLEL ALGORITHMS FOR THE MAXIMUM-WEIGHT INDEPENDENT SET PROBLEM ON PERMUTATION GRAPHS
    YU, MS
    TSENG, LY
    CHANG, SJ
    [J]. INFORMATION PROCESSING LETTERS, 1993, 46 (01) : 7 - 11
  • [10] EFFICIENT PARALLEL ALGORITHMS FOR BIPARTITE PERMUTATION GRAPHS
    CHEN, L
    YESHA, Y
    [J]. NETWORKS, 1993, 23 (01) : 29 - 39