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- W2912249994 abstract "Let $overrightarrow{G}$ be a directed graph with no component of orderless than~$3$, and let $Gamma$ be a finite Abelian group such that $|Gamma|geq 4|V(overrightarrow{G})|$ or if $|V(overrightarrow{G})|$ is large enough with respect to an arbitrarily fixed $varepsilon>0$ then $|Gamma|geq (1+varepsilon)|V(overrightarrow{G})|$. We show that there exists an injective mapping $varphi$ from $V(overrightarrow{G})$ to the group $Gamma$ such that $sum_{xin V(C)}varphi(x) = 0$ for every connected component $C$ of $overrightarrow{G}$, where $0$ is the identity element of $Gamma$. Moreover we show some applications of this result to group distance magic labelings." @default.
- W2912249994 created "2019-02-21" @default.
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- W2912249994 date "2021-12-08" @default.
- W2912249994 modified "2023-10-16" @default.
- W2912249994 title "Realization of digraphs in Abelian groups and its consequences" @default.
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- W2912249994 doi "https://doi.org/10.1002/jgt.22782" @default.
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