Super Geometric Mean Labeling On Double Triangular Snakes

Abstract

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, f* (e) = ⌈√ () ()⌉ or ⌊√ () ()⌋.Then f is called a Super Geometric mean labeling if * (())+  * () ()+ = * +, A graph which admits Super Geometric mean labeling is called Super Geometric mean graph.

Few Results on Geometric Mean Graphs

“…The concept of mean labeling has been introduced in [3] and the basic results wasproved in [4] and [5]. The concept of Double Triangular snake and Double Quadrilateral snake has been proved in [6]. In this paper we prove that the Geometric mean labeling behaviour of Triple Triangular snake, Alternative Triple Triangular snake graphs.…”