Gracefulness of a New Class of Stars Merged with Trees

A. Solairaju, S. Ambika · International Journal of Fuzzy Mathematics and Systems · 2012

Given a graph G with q edges, a labeling of the nodes with distinct integers from the set {0, 1, 2,…,q} induces an edge labeling where the label of an edge is the absolute difference of the labels of the two nodes incident to that edge. Such a labeling is graceful if the edge labels are distinct. A graph G is called graceful if there exist a graceful labeling of G. In this paper, the gracefulness of a new class of stars merged with trees is obtained. AMS classification number: 2000 MSC: 05C78

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