The 1-Steiner tree problem in lambda-3 geometry plane

被引：0
|
作者：
Lin, GH [1 ]
Thurber, AP [1 ]
Xue, GL [1 ]
机构：
[1] Univ Vermont, Dept Comp Sci, Burlington, VT 05405 USA
来源：
ISCAS '99: PROCEEDINGS OF THE 1999 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL 6: CIRCUITS ANALYSIS, DESIGN METHODS, AND APPLICATIONS | 1999年
关键词：
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we extend the 1-Steiner idea of Georgakopoulos and Papadimitriou [5] to the Steiner tree problem in lambda-3 geometry plane. Our extension to the lambda-3 geometry plane and that of Kahng and Robins [9] to the rectilinear plane are similar in principle, but different in many nontrivial details. After presenting an efficient algorithm for solving the 1-Steiner tree problem, we apply the iterated 1-Steiner heuristic to compute approximations to the Steiner minimum tree problem in lambda-3 geometry plane. Computational results on standard benchmarks show that our algorithm compares favorably with previously published heuristics.
引用
收藏
页码：125 / 128
页数：4
相关论文
共 50 条
  • [41] On the complexity of inverse convex ordered 1-median problem on the plane and on tree networks
    Kien Trung Nguyen
    Huong Nguyen-Thu
    Nguyen Thanh Hung
    MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2018, 88 (02) : 147 - 159
  • [42] On the complexity of inverse convex ordered 1-median problem on the plane and on tree networks
    Kien Trung Nguyen
    Huong Nguyen-Thu
    Nguyen Thanh Hung
    Mathematical Methods of Operations Research, 2018, 88 : 147 - 159
  • [43] Distribution of interferon lambda-3 gene polymorphisms in Australian patients with previously untreated genotype 1 chronic hepatitis C: Analysis from the PREDICT and CHARIOT studies
    Roberts, Stuart K.
    Mitchell, Joanne
    Leung, Reynold
    Booth, David
    Bollipo, Steven
    Ostapowicz, George
    Sloss, Andrew
    McCaughan, Geoffrey W.
    Dore, Gregory J.
    Thompson, Alexander
    Crawford, Darrell H. G.
    Sievert, William
    Weltman, Martin
    Cheng, Wendy
    George, Jacob
    JOURNAL OF GASTROENTEROLOGY AND HEPATOLOGY, 2014, 29 (01) : 179 - 184
  • [44] 2(1-1/l)-factor Steiner tree approximation in O(n1/3) rounds in the CONGESTED CLIQUE
    Salida, Parikshit
    Karmakar, Sushanta
    2019 SEVENTH INTERNATIONAL SYMPOSIUM ON COMPUTING AND NETWORKING (CANDAR 2019), 2019, : 82 - 91
  • [45] DENSITY BOUNDS FOR THE 3X+1 PROBLEM .1. TREE-SEARCH METHOD
    APPLEGATE, D
    LAGARIAS, JC
    MATHEMATICS OF COMPUTATION, 1995, 64 (209) : 411 - 426
  • [46] TRAJECTORIES IN THE PLANE CIRCULAR RESTRICTED 3-BODY PROBLEM WITH A 2-1 RESONANCE
    GERASIMOV, IA
    ASTRONOMICHESKII ZHURNAL, 1983, 60 (05): : 1026 - 1034
  • [47] LAMBDA-D BOUND-STATES (J=1/2,3/2) AND FADDEEVS APPROACH TO 3-BODY PROBLEM
    CHOUDHURY, HR
    GAUTAM, VP
    PHYSICAL REVIEW C, 1973, 7 (01): : 74 - 79
  • [48] THE GEOMETRY AND THE OUT-OF-PLANE BENDING POTENTIAL FUNCTION OF THIOFORMALDEHYDE IN THE A1A2 AND A3A2 ELECTRONIC STATES
    JENSEN, P
    BUNKER, PR
    JOURNAL OF MOLECULAR SPECTROSCOPY, 1982, 95 (01) : 92 - 100
  • [49] Density bounds for the 3x + 1 problem. I. Tree-search method
    Mathematics of Computation, 64 (209):
  • [50] NOTICE CONCERNING THE PROBLEM OF PHOSPHINDOLE AROMATICITY - REFINEMENT OF THE 1,2-DIPHENYL-3-[2-(PHENYLETHYNYL)PHENYL]-LAMBDA-3-PHOSPHINDOLE STRUCTURE
    WINTER, W
    BUTTERS, T
    CHEMISCHE BERICHTE-RECUEIL, 1983, 116 (09): : 3271 - 3273
12345