Graceful Labeling of Hypertrees

H. El-Zohny, S. Radwan, S.I. Abo El-Fotooh and Z. Mohammed

Journal of Mathematics Research, 2021, vol. 13, issue 1, 28

Abstract: Graph labeling is considered as one of the most interesting areas in graph theory. A labeling for a simple graph G (numbering or valuation), is an association of non -negative integers to vertices of G (vertex labeling) or to edges of G (edge labeling) or both of them. In this paper we study the graceful labeling for the k- uniform hypertree and define a condition for the corresponding tree to be graceful. A k- uniform hypertree is graceful if the minimum difference of vertices’ labels of each edge is distinct and each one is the label of the corresponding edge.

Date: 2021
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