نتایج جستجو برای: double roman domination number
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In this paper, we define a new domination-like invariant of graphs. Let $${\mathbb {R}}^{+}$$ be the set non-negative numbers. $$c\in {\mathbb {R}}^{+}-\{0\}$$ number, and let G graph. A function $$f:V(G)\rightarrow is c-self-dominating if for every $$u\in V(G)$$ , $$f(u)\ge c$$ or $$\max \{f(v):v\in N_{G}(u)\}\ge 1$$ . The c-self-domination number $$\gamma ^{c}(G)$$ defined as ^{c}(G):=\min \{...
let $g=(v(g),e(g))$ be a graph, $gamma_t(g)$. let $ooir(g)$ be the total domination and oo-irredundance number of $g$, respectively. a total dominating set $s$ of $g$ is called a $textit{total perfect code}$ if every vertex in $v(g)$ is adjacent to exactly one vertex of $s$. in this paper, we show that if $g$ has a total perfect code, then $gamma_t(g)=ooir(g)$. as a consequence, ...
let $r$ be a commutative ring and $m$ be an $r$-module with $t(m)$ as subset, the set of torsion elements. the total graph of the module denoted by $t(gamma(m))$, is the (undirected) graph with all elements of $m$ as vertices, and for distinct elements $n,m in m$, the vertices $n$ and $m$ are adjacent if and only if $n+m in t(m)$. in this paper we study the domination number of $t(ga...
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