INDEPENDENCE AND DOMINATION IN PATH GRAPHS OF TREES

被引:0
|
作者
Niepel, Ludovit [1 ]
Cerny, Anton [1 ]
机构
[1] Kuwait Univ, Dept Math & Comp Sci, Kuwait 13060, Kuwait
关键词
Path graph; dominating set; independent set;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The problems of determining the maximum cardinality of an independent set of vertices and the minimum cardinality of a, maximal independent set of vertices of a. graph are known to be NP-complete. We provide efficient algorithms for finding these values for path graphs of trees.
引用
收藏
页码:581 / 591
页数:11
相关论文
共 50 条
  • [31] DOMINATION NUMBER, INDEPENDENT DOMINATION NUMBER AND 2-INDEPENDENCE NUMBER IN TREES
    Dehgardi, Nasrin
    Sheikholeslami, Seyed Mahmoud
    Valinavaz, Mina
    Aram, Hamideh
    Volkmann, Lutz
    DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2021, 41 (01) : 39 - 49
  • [32] TOTAL ROMAN DOMINATION AND 2-INDEPENDENCE IN TREES
    Ahangar, Hossein Abdollahzadeh
    Soroudi, Marzieh
    Amjadi, Jafar
    Sheikholeslami, Seyed Mahmoud
    TRANSACTIONS ON COMBINATORICS, 2024, 13 (03) : 213 - 223
  • [33] Independent Roman domination and 2-independence in trees
    Amjadi, J.
    Sheikholeslami, S. M.
    Valinavaz, M.
    Dehgardi, N.
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2018, 10 (04)
  • [34] Independence and connectivity in 3-domination-critical graphs
    Zhang, LZ
    Tian, F
    DISCRETE MATHEMATICS, 2002, 259 (1-3) : 227 - 236
  • [35] Independence and hamiltonicity in 3-domination-critical graphs
    Favaron, O
    Tian, F
    Zhang, L
    JOURNAL OF GRAPH THEORY, 1997, 25 (03) : 173 - 184
  • [36] New Bounds on Domination and Independence in Graphs1
    Harant, Jochen
    Mohr, Samuel
    DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2023, 43 (03) : 809 - 824
  • [37] CHORDAL GRAPHS AND UPPER IRREDUNDANCE, UPPER DOMINATION AND INDEPENDENCE
    JACOBSON, MS
    PETERS, K
    DISCRETE MATHEMATICS, 1990, 86 (1-3) : 59 - 69
  • [38] On k-domination and j-independence in graphs
    Hansberg, Adriana
    Pepper, Ryan
    DISCRETE APPLIED MATHEMATICS, 2013, 161 (10-11) : 1472 - 1480
  • [39] CHARACTERIZATION OF GRAPHS WITH EQUAL DOMINATION NUMBERS AND INDEPENDENCE NUMBERS
    Jou, Min-Jen
    TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (04): : 1537 - 1542
  • [40] TREES AND UNICYCLIC GRAPHS WITH HAMILTONIAN PATH GRAPHS
    YU, XX
    JOURNAL OF GRAPH THEORY, 1990, 14 (06) : 705 - 708