منابع مشابه
The minus k-domination numbers in graphs
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 minu...
متن کاملTwin minus domination in directed graphs
Let $D=(V,A)$ be a finite simple directed graph. A function$f:Vlongrightarrow {-1,0,1}$ is called a twin minus dominatingfunction (TMDF) if $f(N^-[v])ge 1$ and $f(N^+[v])ge 1$ for eachvertex $vin V$. The twin minus domination number of $D$ is$gamma_{-}^*(D)=min{w(f)mid f mbox{ is a TMDF of } D}$. Inthis paper, we initiate the study of twin minus domination numbersin digraphs and present some lo...
متن کاملMinus domination in graphs
We introduce one of many classes of problems which can be defined in terms of 3-valued functions on the vertices of a graph G = (V, E) of the form f : V + { 1, 0, l}. Such a fknction is said to be a minus dominating function if the sum of its function values over any closed neighborhood is at least one. That is, for every t’ E V, ,f(N[r~])> 1, where N[a] consists of 1: and every vertex adjacent...
متن کاملthe 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...
متن کاملglobal minus domination in graphs
a function $f:v(g)rightarrow {-1,0,1}$ is a {em minusdominating function} if for every vertex $vin v(g)$, $sum_{uinn[v]}f(u)ge 1$. a minus dominating function $f$ of $g$ is calleda {em global minus dominating function} if $f$ is also a minusdominating function of the complement $overline{g}$ of $g$. the{em global minus domination number} $gamma_{g}^-(g)$ of $g$ isdefined as $gamma_{g}^-(g)=min{...
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ژورنال
عنوان ژورنال: Journal of the Operations Research Society of China
سال: 2013
ISSN: 2194-668X,2194-6698
DOI: 10.1007/s40305-013-0024-9