The minus k-domination numbers in graphs
نویسنده
چکیده مقاله:
For any integer , a minus k-dominating function is afunction f : V (G) {-1,0, 1} satisfying w) for every vertex v, where N(v) ={u V(G) | uv E(G)} and N[v] =N(v)cup {v}. The minimum of the values of v), taken over all minusk-dominating functions f, is called the minus k-dominationnumber and is denoted by $gamma_k^-(G)$ . In this paper, we introduce the study of minus k-domination in graphs and we present several sharp lower bounds on the minus k-domination number for general graphs.
منابع مشابه
the minus k-domination numbers in graphs
for any integer $kge 1$, a minus $k$-dominating function is a function $f : v (g)rightarrow {-1,0, 1}$ satisfying $sum_{winn[v]} f(w)ge k$ for every $vin v(g)$, where $n(v) ={u inv(g)mid uvin e(g)}$ and $n[v] =n(v)cup {v}$. the minimum ofthe values of $sum_{vin v(g)}f(v)$, taken over all minus$k$-dominating functions $f$, is called the minus $k$-dominationnumber and i...
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عنوان ژورنال
دوره 1 شماره 1
صفحات 15- 28
تاریخ انتشار 2016-06-01
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