On graceful and harmonious labelings of trees

Edinah K. Gnang · arXiv (Cornell University) · 2018

We prove via composition lemmas the Kotzig-Ringel and the Graham-Sloane conjectures, respectively known as the Graceful and Harmonious Labeling Conjectures. We also prove via a stronger form of the composition lemma a stronger version of the Graceful Labeling Conjecture.

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