Improper Graceful and Odd-graceful Labellings of Graph Theory
Discrete Mathematics
2015-12-31 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.1512.08634,
title = {Improper Graceful and Odd-graceful Labellings of Graph Theory},
author = {Hongyu Wang and Jin Xu and Bing Yao},
journal= {arXiv preprint arXiv:1512.08634},
year = {2015}
}