Note on power propagation time and lower bounds for the power domination number

被引:8
作者
Ferrero, Daniela [1 ]
Hogben, Leslie [2 ,3 ]
Kenter, Franklin H. J. [4 ]
Young, Michael [2 ]
机构
[1] Texas State Univ, Dept Math, San Marcos, TX USA
[2] Iowa State Univ, Dept Math, Ames, IA 50011 USA
[3] Amer Inst Math, 600 E Brokaw Rd, San Jose, CA 95112 USA
[4] Rice Univ, Dept Computat & Appl Math, Houston, TX 77005 USA
关键词
Power domination; Power propagation time; Propagation time; Time constraint; GRAPHS; PLACEMENT;
D O I
10.1007/s10878-016-0103-z
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We present a counterexample to a lower bound for the power domination number given in Liao (J Comb Optim 31:725-742, 2016). We also define the power propagation time, using the power domination propagation ideas in Liao and the (zero forcing) propagation time in Hogben et al. (Discrete Appl Math 160:1994-2005, 2012).
引用
收藏
页码:736 / 741
页数:6
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