DISTANCE k-DOMINATION IN SOME CYCLE RELATED GRAPHS

被引:0
作者
Vaidya, S. K. [1 ]
Kothari, N. J. [2 ]
机构
[1] Saurashtra Univ, Dept Math, Rajkot 360005, Gujarat, India
[2] LE Coll Diploma, Gen Dept, Morbi 363642, Gujarat, India
关键词
dominating set; domination number; distance domination; splitting graph; R-DOMINATION; NUMBER;
D O I
10.18514/MMN.2018.1163
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we determine distance k-domination number of graph obtained by duplication of vertices altogether by edges in cycle C-n, splitting graph of cycle C-n as well as graph obtained by duplication of edges altogether by vertices in cycle C-n.
引用
收藏
页码:1223 / 1231
页数:9
相关论文
共 13 条
[1]   Graphs having distance-n domination number half their order [J].
Fischermann, M ;
Volkmann, L .
DISCRETE APPLIED MATHEMATICS, 2002, 120 (1-3) :97-107
[2]   ON THE R-DOMINATION NUMBER OF A GRAPH [J].
GRIGGS, JR ;
HUTCHINSON, JP .
DISCRETE MATHEMATICS, 1992, 101 (1-3) :65-72
[3]  
Haynes TW, 1998, Fundamentals of domination in graphs, V1st, DOI [DOI 10.1201/9781482246582, 10.1201/9781482246582]
[4]  
Henning M.A., 1991, J. Combin. Inform. System Sci, V16, P11
[5]  
Henning MA, 1998, MG TXB PUR APPL MATH, V209, P321
[6]  
Klobucar A., 2005, Mathematica Slovaca, V55, P141
[7]   R-DOMINATION IN GRAPHS [J].
SLATER, PJ .
JOURNAL OF THE ACM, 1976, 23 (03) :446-450
[8]   Bounds on the distance two-domination number of a graph [J].
Sridharan, N ;
Subramanian, VSA ;
Elias, MD .
GRAPHS AND COMBINATORICS, 2002, 18 (03) :667-675
[9]  
Tian F, 2009, AUSTRALAS J COMB, V43, P181
[10]   Average distances and distance domination numbers [J].
Tian, Fang ;
Xu, Jun-Ming .
DISCRETE APPLIED MATHEMATICS, 2009, 157 (05) :1113-1127