Domination parameters of generalized Sierpinski graphs

被引:5
|
作者
Varghese, Jismy [1 ]
Anu, V [2 ]
Aparna, Lakshmanan S. [3 ]
机构
[1] DePaul Inst Sci & Technol, Sch Comp Sci, Angamaly 683573, Kerala, India
[2] St Peters Coll, Dept Math, Kolenchery, Kerala, India
[3] Cochin Univ Sci & Technol, Dept Math, Cochin, Kerala, India
关键词
Italian domination; perfect Italian domination; double Roman domination; generalized Sierpinski graphs; DOUBLE ROMAN DOMINATION; PERFECT ITALIAN DOMINATION;
D O I
10.1080/09728600.2022.2138630
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we obtain the Italian domination number, perfect Italian domination number and double Roman domination number of generalized Sierpinski graph S(G,2), where G is a cycle C-n, n >= 4, a complete bipartite graph K1,q or K2,q, q >= 2 and a bistar Bm,n, m,n >= 3.
引用
收藏
页码:4 / 10
页数:7
相关论文
共 50 条
  • [21] Domination in generalized Petersen graphs
    Zelinka, B
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2002, 52 (01) : 11 - 16
  • [22] Total domination in generalized θ graphs and ladder graphs
    Song, Xiaoxin
    Sun, Gaihong
    Liu, Lijia
    ARS COMBINATORIA, 2016, 129 : 71 - 93
  • [23] Roman Domination and Double Roman Domination Numbers of Sierpinski Graphs S(Kn, t)
    Liu, Chia-An
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (06) : 4043 - 4058
  • [24] Restricted domination parameters in graphs
    Wayne Goddard
    Michael A. Henning
    Journal of Combinatorial Optimization, 2007, 13 : 353 - 363
  • [25] The domination parameters of cubic graphs
    Zverovich, IE
    Zverovich, VE
    GRAPHS AND COMBINATORICS, 2005, 21 (02) : 277 - 288
  • [26] DOMINATION PARAMETERS IN MYCIELSKI GRAPHS
    Kwon, Young Soo
    Lee, Jaeun
    Sohn, Moo Young
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2021, 58 (04) : 829 - 836
  • [27] CHARACTERISATION OF GRAPHS ON DOMINATION PARAMETERS
    Avadayappan, Selvam
    Senthilkumar, C. S.
    ARS COMBINATORIA, 2012, 103 : 423 - 431
  • [28] Restricted domination parameters in graphs
    Goddard, Wayne
    Henning, Michael A.
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2007, 13 (04) : 353 - 363
  • [29] Domination parameters in Mycielski graphs
    Chen, Xue-gang
    Xing, Hua-ming
    UTILITAS MATHEMATICA, 2006, 71 : 235 - 244
  • [30] ON THE ZERO FORCING NUMBER OF GENERALIZED SIERPINSKI GRAPHS
    Vatandoost, Ebrahim
    Ramezani, Fatemeh
    Alikhani, Saeid
    TRANSACTIONS ON COMBINATORICS, 2019, 8 (01) : 41 - 50