Document Type : Primary Research paper
Assistant Professor, Department of Mathematics, Bishop Heber College, Tiruchirappalli- 620017, Tamil Nadu, India
Assistant Professor, Department of Mathematics, Srimad Andavan Arts and Science, Tiruchirappalli-620007, College, Tamil Nadu, India.
In this paper, we have discussed the F–centroidal Mean Labelling of tree and cycle
related graphs. A function f is called an F–centroidal mean labelling of a graph G(V,E)
with p vertices and q edges if f :V(G)1,2,3,...........,q 1 is injective and the induced
function f : E(G)1,2,3,...........,q defined as
3 ( ) ( )
2 ( ) ( ) ( ) ( )
f u f v
f u f u f v f v
f uv ,
for all uvE(G) , is bijective. A graph that admits an F–centroidal mean labelling is called
an F–centroidal mean graph.