Highly Influenced

@article{Nowakowski2001OrderedGL, title={Ordered graceful labellings of the 2-star}, author={Richard J. Nowakowski and Carol A. Whitehead}, journal={Discrete Mathematics}, year={2001}, volume={233}, pages={183-191} }

- Published 2001 in Discrete Mathematics
DOI:10.1016/S0012-365X(00)00237-5

A variation on the well-known graceful labelling problem for graphs is that of ,nding an ordered graceful labelling. A graceful labelling f :V (T ) → {1; 2; : : : ; n} of a tree T of order n is called ordered graceful if, when the edges of the tree are oriented from the endvertex with larger label to the endvertex with smaller label, then every vertex has either indegree 0 or outdegree 0. In this study, we consider a technique for obtaining ordered graceful labellings of a 2-star T of order n… CONTINUE READING

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