Lucky Edge Neighborhood Labeling of Graphs

Ragavi Sankarappan, R Sridevi

Abstract


Let G be a simple graph with vertex set V (G) and edge set E(G) respectively. Vertex set V (G) is labeled arbitrary by positive integers and E(G)
denote the edge label such that it is the sum of labels of vertices incident with
edge e. A lucky edge neighborhood labeling of G is assigning of positive integers
to the vertices of G so that each edge neighborhood labels are distinct.The least
integer for which a graph G has a lucky edge labeling from the set {1, 2, ..., k} is the lucky neighborhood number and is denoted by N(G).
The graph which admits lucky edge neighborhood labeling is called Lucky
edge neighborhood labeled graph. In this paper, we proved that Path, Cycle,
Tadpole, Subdivision of comb and Subdivision of crown are lucky edge neighborhood labeled graphs.


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