Bounds of Magic Constants for Vertex-magic Total Labelings of Wheels and Related Graphs
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Abstract
The purposes of this research are 1) to improve bounds of magic constants for vertex-magic total labelings of wheels and find bounds of magic constants for vertex-magic total labelings of wheel related graphs, and 2) to present vertex-magic total labelings of wheels and related graphs. The results of the research found that the bounds of magic constants for vertex-magic total labelings of graphs are depicted in terms of their order and size, and the bounds of magic constants for vertex-magic total labelings of wheels Wn, fans Fn and friendship graphs Tn in terms of n and t-fold wheels Wn,t in terms of n and t. Moreover, vertex-magic total labelings of wheels and related graphs for every graph having vertex-magic total labelings are obtained with magic constants which are between the bounds.
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References
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