| 有向图的负控制数及其下界 |
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| 引用本文： | 邢化明,李文升.有向图的负控制数及其下界[J].天津科技大学学报,2011(5):76-78. |
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| 作者姓名： | 邢化明 李文升 |
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| 作者单位： | 天津科技大学理学院;廊坊师范学院数学系; |
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| 摘 要： | 设D=(V,E)为一个有向图,对于函数f:V→{-1,0,1},如果对任意的v∈V,均有f(ND-v])≥1成立,则称f为图D的一个负控制函数,图D的负控制数γ-(D)=min{w(f)|f是D一个负控制函数}.给出几类有向图的负控制数的值,并得到一般有向图的负控制数的几个下界.
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| 关 键 词： | 负控制 有向图 下界 |
Minus Domination Numbers and Its Lower Bounds in Directed Graphs |
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| XING Hua-ming,LI Wen-sheng.Minus Domination Numbers and Its Lower Bounds in Directed Graphs[J].Journal of Tianjin University of Science & Technology,2011(5):76-78. |
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| Authors: | XING Hua-ming LI Wen-sheng |
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| Institution: | XING Hua-ming1,LI Wen-sheng2(1.College of Science,Tianjin University of Science & Technology,Tianjin 300457,China,2.Department of Mathematics,Langfang Normal School,Langfang 065000,China) |
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| Abstract: | Let D=(V,A) be a digraph.For a functionf :V(D) → { -1,0,1} i,ff(N- v]) ≥1 for each vertex v ∈V,then fis called a minus dominating function on D.The minus domination number γ -(D) = min {w(f)| fis a minus domi-nating function on D}.The minus domination numbers were given for a few types of digraphs.And some lower bounds were obtained for minus domination number of general digraphs. |
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| Keywords: | minus domination directed graph lower bound |
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