Disjoint Paired-Dominating sets in Cubic Graphs

被引：1
|
作者：
Bacso, Gabor [1 ]
Bujtas, Csilla [2 ,3 ]
Tompkins, Casey [4 ,5 ]
Tuza, Zsolt [2 ,4 ]
机构：
[1] Hungarian Acad Sci, Comp & Automat Inst, Budapest, Hungary
[2] Univ Pannonia, Fac Informat Technol, Veszprem, Hungary
[3] Univ Ljubljana, Fac Math & Phys, Ljubljana, Slovenia
[4] Hungarian Acad Sci, Alfred Renyi Inst Math, Budapest, Hungary
[5] Karlsruhe Inst Technol, Karlsruhe, Germany
来源：
GRAPHS AND COMBINATORICS | 2019年 / 35卷 / 05期
基金：
欧洲研究理事会;
关键词：
Dominating set; Total dominating set; Paired-dominating set; Claw-free graph; Cubic graph; NUMBER;
D O I：
10.1007/s00373-019-02063-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A paired-dominating set of a graph G is a dominating set D with the additional requirement that the induced subgraph G[D] contains a perfect matching. We prove that the vertex set of every claw-free cubic graph can be partitioned into two paired-dominating sets.
引用
收藏
页码：1129 / 1138
页数：10
相关论文
共 50 条
  • [31] ACYCLIC TOTAL DOMINATING SETS IN CUBIC GRAPHS
    Goddard, Wayne
    Henning, Michael A.
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2019, 13 (01) : 73 - 84
  • [32] Minimum connected dominating sets of random cubic graphs
    Duckworth, W.
    ELECTRONIC JOURNAL OF COMBINATORICS, 2002, 9
  • [33] Minimum independent dominating sets of random cubic graphs
    Duckworth, W
    Wormald, NC
    RANDOM STRUCTURES & ALGORITHMS, 2002, 21 (02) : 147 - 161
  • [34] Minimum Power Dominating Sets of Random Cubic Graphs
    Kang, Liying
    Wormald, Nicholas
    JOURNAL OF GRAPH THEORY, 2017, 85 (01) : 152 - 171
  • [35] Vertices Contained in all or in no Minimum Paired-Dominating Set of a Tree
    Michael A. Henning
    Michael D. Plummer
    Journal of Combinatorial Optimization, 2005, 10 : 283 - 294
  • [36] Vertices contained in all or in no minimum paired-dominating set of a tree
    Henning, MA
    Plummer, MD
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2005, 10 (03) : 283 - 294
  • [37] Remarks about disjoint dominating sets
    Henning, Michael A.
    Loewenstein, Christian
    Rautenbach, Dieter
    DISCRETE MATHEMATICS, 2009, 309 (23-24) : 6451 - 6458
  • [38] γ-PAIRED DOMINATING GRAPHS OF CYCLES
    Eakawinrujee, Pannawat
    Trakultraipruk, Nantapath
    OPUSCULA MATHEMATICA, 2022, 42 (01) : 31 - 54
  • [39] γ-Paired Dominating Graphs of Paths
    Eakawinrujee, Pannawat
    Trakultraipruk, Nantapath
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2022, 17 (02): : 739 - 752
  • [40] Dominating Sets and Connected Dominating Sets in Dynamic Graphs
    Hjuler, Niklas
    Italiano, Giuseppe F.
    Parotsidis, Nikos
    Saulpic, David
    36TH INTERNATIONAL SYMPOSIUM ON THEORETICAL ASPECTS OF COMPUTER SCIENCE (STACS 2019), 2019,
12345