A polylogarithmic approximation for computing non-metric terminal Steiner trees

被引：0

作者：

Gamzu, Iftah ^{[1
]}

Segev, Danny ^{[2
]}

机构：

[1] Tel Aviv Univ, Blavatnik Sch Comp Sci, IL-69978 Tel Aviv, Israel

[2] Univ Haifa, Dept Stat, IL-31905 Haifa, Israel

来源：

INFORMATION PROCESSING LETTERS | 2010年 / 110卷 / 18-19期

基金：

欧洲研究理事会; 以色列科学基金会;

关键词：

Approximation algorithms; Terminal Steiner tree; Group Steiner tree; ALGORITHMS;

D O I：

10.1016/j.ipl.2010.07.006

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The main contribution of this short note is to provide improved bounds on the approximability of constructing terminal Steiner trees in arbitrary undirected graphs. Technically speaking, our results are obtained by relating this computational task to that of computing group Steiner trees. As a secondary objective, we make a concentrated effort to distinguish between the factor by which constructed trees exceed the optimal backbone cost and between the deviation from the optimal terminal linking cost. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：826 / 829

页数：4

共 50 条

[1] Computing Steiner Minimum Trees in Hamming Metric
Althaus, Ernst
Naujoks, Rouven
[J]. PROCEEDINGS OF THE SEVENTHEENTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS, 2006, : 172 - +
[2] A polylogarithmic approximation algorithm for the group Steiner tree problem
Garg, N
Konjevod, G
Ravi, R
[J]. JOURNAL OF ALGORITHMS-COGNITION INFORMATICS AND LOGIC, 2000, 37 (01): : 66 - 84
[3] Non-metric mass
Roberts, MD
[J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 2004, 119 (11): : 1015 - 1040
[4] An assessment of the utility of a non-metric digital camera for measuring standing trees
Clark, NA
Wynne, RH
Schmoldt, DL
Winn, M
[J]. COMPUTERS AND ELECTRONICS IN AGRICULTURE, 2000, 28 (02) : 151 - 169
[5] Steiner trees with a terminal order
Martinez, Fabio Viduani
Soares, Jose
[J]. CIC 2006: 15TH INTERNATIONAL CONFERENCE ON COMPUTING, PROCEEDINGS, 2006, : 254 - 259
[6] Algorithms for terminal Steiner trees
Martinez, FV
de Pina, JC
Soares, J
[J]. COMPUTING AND COMBINATORICS, PROCEEDINGS, 2005, 3595 : 369 - 379
[7] Algorithms for terminal Steiner trees
Martinez, Fabio Viduani
de Pina, Jose Coelho
Soares, Jose
[J]. THEORETICAL COMPUTER SCIENCE, 2007, 389 (1-2) : 133 - 142
[8] Non-metric biometric clustering
Becker, Glenn
Potts, Mark
[J]. 2007 BIOMETRICS SYMPOSIUM, 2007, : 36 - +
[9] Non-metric Propositional Similarity
A. C. Paseau
[J]. Erkenntnis, 2022, 87 : 2307 - 2328
[10] Classification in non-metric spaces
Weinshall, D
Jacobs, DW
Gdalyahu, Y
[J]. ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 11, 1999, 11 : 838 - 844

← 1 2 3 4 5 →