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arXiv · 1512.08634

Improper Graceful and Odd-graceful Labellings of Graph Theory

Hongyu Wang·Jin Xu·Bing Yao
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Abstract

In this paper we define some new labellings for trees, called the in-improper and out-improper odd-graceful labellings such that some trees labelled with the new labellings can induce graceful graphs having at least a cycle. We, next, apply the new labellings to construct large scale of graphs having improper graceful/odd-graceful labellings or having graceful/odd-graceful labellings.

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Hongyu Wang, Jin Xu, Bing Yao. 2015-12-29. Improper Graceful and Odd-graceful Labellings of Graph Theory. https://arxiv.org/abs/1512.08634

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