Further Results on Bi-domination in Graphs

被引:11
作者
Al-Harere, M. N. [1 ]
Breesam, Athraa T. [1 ]
机构
[1] Univ Technol Baghdad, Dept Appl Sci, Baghdad, Iraq
来源
SECOND INTERNATIONAL CONFERENCE OF MATHEMATICS (SICME2019) | 2019年 / 2096卷
关键词
D O I
10.1063/1.5097810
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, new results of domination in graphs called bi-domination are determined. Some properties for bidominating set are presented. The bi-domination number of G is the minimum cardinality of a bi-dominating set of G. In this paper, we investigate the bi-domination number for web graph, tadpole graph, lollipop graph, daisy graph, Dutch windmill graph, windmill graph, dumbbell graph, barbell graph, grid graph, product of two path, and the corona H circle dot K-2 and H + K-2.
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页数:9
相关论文
共 14 条
[1]  
AL-Harere M. N., 2017, INT J PURE APPL MATH
[2]  
AL-Harere M. N., 2018, BAGHDAD SCI J IRAQ, V15
[3]  
AL-Harere M. N., SOME PROPERTIES BIDO
[4]  
Gallan J. A., 2016, ELECT J COMBINATORIC
[5]  
Harary F., 1969, GRAPH THEORY
[6]  
Haynes T. W., 1998, FUNDAMENTALS DOMINAT, V1st, DOI [10.1201/9781482246582, DOI 10.1201/9781482246582]
[7]   A survey of stratified domination in graphs [J].
Haynes, Teresa W. ;
Henning, Michael A. ;
Zhang, Ping .
DISCRETE MATHEMATICS, 2009, 309 (19) :5806-5819
[8]  
Jothi R.M.J., 2013, APPL MATH SCI, V7, P3239
[9]  
Omran A. A., 2017, 23 SPEC SCI C COLL E, V1, P424
[10]  
Omran A. A., 2017, 10 ED COLL INT SCI C, V27-33, P1403