Weak Signed Roman Domination in Digraphs
نویسندگان
چکیده
Let $D$ be a finite and simple digraph with vertex set $V(D)$. A weak signed Roman dominating function (WSRDF) on is $f:V(D)\rightarrow\{-1,1,2\}$ satisfying the condition that $\sum_{x\in N^-[v]}f(x)\ge 1$ for each $v\in V(D)$, where $N^-[v]$ consists of $v$ allvertices from which arcs go into $v$. The weight WSRDF $f$ $\sum_{v\in V(D)}f(v)$. domination number $\gamma_{wsR}(D)$ minimum $D$. In this paper we initiate study digraphs, present different bounds $\gamma_{wsR}(D)$. addition, determine some classesof digraphs.
منابع مشابه
Weak signed Roman domination in graphs
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ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2021
ISSN: ['0049-2930', '2073-9826']
DOI: https://doi.org/10.5556/j.tkjm.52.2021.3523