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GENERATION OF GRACEFUL TREES
Journal: International Journal of Applied Mathematics & Statistical Sciences (IJAMSS) (Vol.6, No. 5)Publication Date: 2017-10-12
Authors : S. VENKATESH;
Page : 1-6
Keywords : Trees; Recursive Attachment; Graceful Labeling; Graceful Trees; a - Valuation;
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Abstract
In this paper, a new family of trees is generated by combining the given trees, and it proves that the result tree is graceful and admits a - valuation. Further, by recursively attaching a given tree with the resultant, generates a bigger family of trees for ≥ 2, and we prove that such trees are graceful and have a - valuation.
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Last modified: 2017-10-14 20:11:57