A Conjecture on Zero-sum 3-magic Labeling of 5-regular Graphs

In this paper, we obtained that every 5-regular graph admits a zero-sum 3-magic labeling, which give an affirmative answer to a conjecture proposed by Saieed Akbari, Farhad Rahmati and Sanaz Zare in $Electron\mathrm{.}$ $J\mathrm{.}$ $Combin\mathrm{.}$.