ON GREEDY HEURISTICS FOR STEINER MINIMUM TREES

被引：0
|
作者：
DU, DZ [1 ]
机构：
[1] CHINESE ACAD SCI,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA
来源：
ALGORITHMICA | 1995年 / 13卷 / 04期
关键词：
STEINER TREES; GREED HEURISTIC;
D O I：
10.1007/BF01293486
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We disprove a conjecture of Shor and Smith on a greedy heuristic for the Steiner minimum tree by showing that the length ratio between the Steiner minimum tree and the greedy tree constructed by their method for the same set of points can be arbitrarily close to root 3/2. We also propose a new conjecture.
引用
收藏
页码：381 / 386
页数：6
相关论文
共 50 条
  • [1] On greedy heuristics for steiner minimum trees
    Algorithmica (New York), 4 (381):
  • [2] ON BETTER HEURISTICS FOR STEINER MINIMUM TREES
    DU, DZ
    ZHANG, YJ
    MATHEMATICAL PROGRAMMING, 1992, 57 (02) : 193 - 202
  • [3] Approximation of Steiner Minimum Trees in Euclidean Planar Graphs Using Euclidian Steiner Minimum Trees
    Zenker, Bjoern
    20TH EUROPEAN CONFERENCE ON ARTIFICIAL INTELLIGENCE (ECAI 2012), 2012, 242 : 931 - 932
  • [4] On Steiner trees and minimum spanning trees in hypergraphs
    Polzin, T
    Daneshmand, SV
    OPERATIONS RESEARCH LETTERS, 2003, 31 (01) : 12 - 20
  • [5] Approximations for Steiner Trees with Minimum Number of Steiner Points
    DONGHUI CHEN
    DING-ZHU DU
    XIAO-DONG HU
    GUO-HUI LIN
    LUSHENG WANG
    GUOLIANG XUE
    Journal of Global Optimization, 2000, 18 : 17 - 33
  • [6] Approximations for Steiner trees with minimum number of Steiner points
    Chen, DH
    Du, DZ
    Hu, XD
    Lin, GH
    Wang, LS
    Xue, GL
    THEORETICAL COMPUTER SCIENCE, 2001, 262 (1-2) : 83 - 99
  • [7] Approximations for Steiner trees with minimum number of Steiner points
    Chen, DG
    Du, DZ
    Hu, XD
    Lin, GH
    Wang, LS
    Xue, GL
    JOURNAL OF GLOBAL OPTIMIZATION, 2000, 18 (01) : 17 - 33
  • [8] MINIMUM STEINER TREES IN NORMED PLANES
    DU, DZ
    GAO, B
    GRAHAM, RL
    LIU, ZC
    WAN, PJ
    DISCRETE & COMPUTATIONAL GEOMETRY, 1993, 9 (04) : 351 - 370
  • [9] Dynamic programming for minimum steiner trees
    Fuchs, B.
    Kern, W.
    Moelle, D.
    Richter, S.
    Rossmanith, Peter
    Wang, X.
    THEORY OF COMPUTING SYSTEMS, 2007, 41 (03) : 493 - 500
  • [10] MINIMUM DIAMETER STEINER TREES IN A GRAPH
    KUNDU, S
    OPERATIONS RESEARCH, 1975, 23 : B357 - B357
12345