Hardness results and approximation algorithms of k-tuple domination in graphs

被引：54
|
作者：
Klasing, R
Laforest, C
机构：
[1] Univ Evry, LaMI, F-91000 Evry, France
[2] Univ Nice, INRIA, CNRS, MASCOTTE Project, F-06902 Sophia Antipolis, France
来源：
INFORMATION PROCESSING LETTERS | 2004年 / 89卷 / 02期
关键词：
approximation algorithms; combinatorial problems; domination problems;
D O I：
10.1016/j.ipl.2003.10.004
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 study of k-tuple domination problem in special graphs was presented. The complexity of the domination problem was analyzed by using the hardness results and approximation algorithms. In this regard, a linear-time algorithm for the 2-tuple domination problem in trees and in strongly chordal graphs was devised. The obtained approximation algorithm was a polynomial time algorithm whose output solution was compared with the optimal solution.
引用
收藏
页码：75 / 83
页数：9
相关论文
共 50 条
  • [1] k-tuple domination in graphs
    Liao, CS
    Chang, GJ
    INFORMATION PROCESSING LETTERS, 2003, 87 (01) : 45 - 50
  • [2] On the complexity of {k}-domination and k-tuple domination in graphs
    Argiroffo, Gabriela
    Leoni, Valeria
    Torres, Pablo
    INFORMATION PROCESSING LETTERS, 2015, 115 (6-8) : 556 - 561
  • [3] On k-tuple domination of random graphs
    Wang Bin
    Xiang Kai-Nan
    APPLIED MATHEMATICS LETTERS, 2009, 22 (10) : 1513 - 1517
  • [4] k-tuple restrained domination in graphs
    Henning, Michael A.
    Kazemi, Adel P.
    QUAESTIONES MATHEMATICAE, 2021, 44 (08) : 1023 - 1036
  • [5] k-tuple total domination in graphs
    Henning, Michael A.
    Kazemi, Adel P.
    DISCRETE APPLIED MATHEMATICS, 2010, 158 (09) : 1006 - 1011
  • [6] Roman k-tuple Domination in Graphs
    Kazemi, Adel P.
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2020, 15 (02): : 101 - 115
  • [7] Some new results on the k-tuple domination number of graphs
    Cabrera Martinez, Abel
    RAIRO-OPERATIONS RESEARCH, 2022, 56 (05) : 3491 - 3497
  • [8] Upper k-tuple total domination in graphs
    Kazemi, Adel P.
    PURE AND APPLIED MATHEMATICS QUARTERLY, 2017, 13 (04) : 563 - 579
  • [9] Proof of a conjecture on k-tuple domination in graphs
    Xu, Guangjun
    Kang, Liying
    Shan, Erfang
    Yan, Hong
    APPLIED MATHEMATICS LETTERS, 2008, 21 (03) : 287 - 290
  • [10] k-tuple total domination in inflated graphs
    Kazemi, Adel P.
    FILOMAT, 2013, 27 (02) : 341 - 351
12345