Pairs of Disjoint Dominating Sets in Connected Cubic Graphs

被引:0
|
作者
Christian Löwenstein
Dieter Rautenbach
机构
[1] University of Johannesburg,Department of Mathematics
[2] Universität Ulm,Institut für Optimierung und Operations Research
来源
Graphs and Combinatorics | 2012年 / 28卷
关键词
Cubic graphs; Domination number; Domatic number; Inverse domination; Disjoint domination number; 05C69;
D O I
暂无
中图分类号
学科分类号
摘要
For a connected cubic graph G of order n, we prove the existence of two disjoint dominating sets D1 and D2 with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${|D_1|+|D_2|\leq \frac{157}{198}n+\frac{8}{9}}$$\end{document}.
引用
收藏
页码:407 / 421
页数:14
相关论文
共 50 条
  • [1] Pairs of Disjoint Dominating Sets in Connected Cubic Graphs
    Loewenstein, Christian
    Rautenbach, Dieter
    [J]. GRAPHS AND COMBINATORICS, 2012, 28 (03) : 407 - 421
  • [2] Pairs of Disjoint Dominating Sets and the Minimum Degree of Graphs
    Loewenstein, Christian
    Rautenbach, Dieter
    [J]. GRAPHS AND COMBINATORICS, 2010, 26 (03) : 407 - 424
  • [3] Disjoint Paired-Dominating sets in Cubic Graphs
    Bacso, Gabor
    Bujtas, Csilla
    Tompkins, Casey
    Tuza, Zsolt
    [J]. GRAPHS AND COMBINATORICS, 2019, 35 (05) : 1129 - 1138
  • [4] Pairs of Disjoint Dominating Sets and the Minimum Degree of Graphs
    Christian Löwenstein
    Dieter Rautenbach
    [J]. Graphs and Combinatorics, 2010, 26 : 407 - 424
  • [5] Disjoint Paired-Dominating sets in Cubic Graphs
    Gábor Bacsó
    Csilla Bujtás
    Casey Tompkins
    Zsolt Tuza
    [J]. Graphs and Combinatorics, 2019, 35 : 1129 - 1138
  • [6] Minimum connected dominating sets of random cubic graphs
    Duckworth, W.
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2002, 9
  • [7] Disjoint dominating and total dominating sets in graphs
    Henning, Michael A.
    Loewenstein, Christian
    Rautenbach, Dieter
    Southey, Justin
    [J]. DISCRETE APPLIED MATHEMATICS, 2010, 158 (15) : 1615 - 1623
  • [8] DISJOINT INDEPENDENT DOMINATING SETS IN GRAPHS
    COCKAYNE, EJ
    HEDETNIEMI, ST
    [J]. DISCRETE MATHEMATICS, 1976, 15 (03) : 213 - 222
  • [9] Disjoint dominating and 2-dominating sets in graphs
    Miotk, Mateusz
    Topp, Jerzy
    Zylinski, Pawel
    [J]. DISCRETE OPTIMIZATION, 2020, 35
  • [10] ON GRAPHS WITH DISJOINT DOMINATING AND 2-DOMINATING SETS
    Henning, Michael A.
    Rall, Douglas F.
    [J]. DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2013, 33 (01) : 139 - 146