On the signed domination number of some Cayley graphs
| Autor: | Alikhani, Saeid, Ramezani, Fatemeh, Vatandoost, Ebrahim |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | A signed dominating function of graph $\Gamma$ is a function $g :V(\Gamma) \longrightarrow \{-1,1\}$ such that $\sum_{u \in N[v]}g(u) >0$ for each $v \in V(\Gamma)$. The signed domination number $\gamma_{_S}(\Gamma)$ is the minimum weight of a signed dominating function on $\Gamma$. Let $G=\langle S \rangle$ be a finite group such that $e \not\in S=S^{-1}$. In this paper, we obtain the signed domination number of $Cay(S:G)$ based on cardinality of $S$. Also we determine the classification of group $G$ by $|S|$ and $\gamma_{_S}(Cay(S:G))$. Comment: 10 pages, 4 figures |
| Databáze: | arXiv |
| Externí odkaz: |
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