Logarithmic Mean Labeling of Duplicating a Vertex and an Edge of Some Graphs
A function is called a logarithmic mean labeling or labeling of a graph with vertices and edges if is injective and the induced function defined as
is bijective. A graph that admits a labeling labeling is called a logarithmic mean graph or graph. In this paper, we have discussed the logarithmic meanness of duplicating a vertex and an edge of some graphs.