Advances and Applications in Discrete Mathematics
Volume 14, Issue 1, Pages 39 - 50
(July 2014)
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SHELL-BUTTERFLY GRAPHS ARE HARMONIOUS
J. Jeba Jesintha and K. Ezhilarasi Hilda
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Abstract: A graph is said to be harmonious if there is an injection with the property that the resulting edge labels are also distinct, where an edge incident with vertices uand vis assigned the label A graph which admits a harmonious labeling is called a harmonious graph. In this paper, we prove that shell-butterfly graphs are harmonious. |
Keywords and phrases: harmonious labeling, shell graph, shell-butterfly graph. |
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