Bounds on Global Total Domination in Graphs

被引:0
作者
Rad, Nader Jafari [1 ]
Sharifi, Elahe [1 ]
机构
[1] Shahrood Univ Technol, Dept Math, Shahrood, Iran
关键词
Domination; Total domination; Global total domination;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A subset S of vertices in a graph G is a global total dominating set, or just GTDS, if S is a total dominating set of both G and (G) over bar. The global total domination number gamma(gt)(G) of G is the minimum cardinality of a GTDS of G. We present bounds for the global total domination number in graphs.
引用
收藏
页码:3 / 10
页数:8
相关论文
共 13 条
[1]  
Arumugam S, 2009, ARS COMBINATORIA, V93, P175
[2]  
Brigham R. C., 2000, J COMBIN COMPUT COMB, V34, P81
[3]  
Brigham RC, 1998, MG TXB PUR APPL MATH, V209, P301
[4]  
Carrington J. R., 1992, C NUMER, V88, P161
[5]   TOTAL DOMINATION IN GRAPHS [J].
COCKAYNE, EJ ;
DAWES, RM ;
HEDETNIEMI, ST .
NETWORKS, 1980, 10 (03) :211-219
[6]   On global domination critical graphs [J].
Dutton, Ronald D. ;
Brigham, Robert C. .
DISCRETE MATHEMATICS, 2009, 309 (19) :5894-5897
[7]  
Enciso Rosa I., 2008, Journal of Combinatorial Mathematics and Combinatorial Computing, V66, P273
[8]  
Haynes T. W., 1998, FUNDAMENTALS DOMINAT
[9]  
Henning M. A., 2013, TOTAL DOMINATION GRA
[10]  
Kulli VR, 1996, INDIAN J PURE AP MAT, V27, P537