New classes of super geometric mean graphs
S. S. Sandhya, E. Ebin Raja Merly, B. Shiny · Journal of Discrete Mathematical Sciences and Cryptography · 2016
Let f : V(G) →{1, 2, … , p+q} be an injective function. For a vertex labeling “f” the induced edge labeling f*(e=uv) is defined by, . Then “f” is called a Super Geometric mean labeling” if {f(V(G))}∪{(f(e) : e∈E(G)}={1, 2, … , p+q}. A graph which admits Super Geometric mean labeling is called “Super Geometric mean graph”.In this paper, we prove that TLn, TLnAK1 TnAK1, QnAK1 and [A(Tn)]AK1 and [A(Qn)]AK1 are Super Geometric mean graphs.