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Some Results on Super Root Square Mean Labeling
Authors: S S Sandhya, S Somasundaram, S Anusa
Number of views: 409
Let $G$ be a $(p,q)$ graph and $f:V(G)\leftarrow \{1,2,3,…,p+q \}$ be an injective function. For each edge $e=uv$ , let $f^*(e=uv)=\lceil \sqrt{\frac{f(u)^2+f(v)^2}{2}} \rceil$ or =\lfloor\sqrt{\frac{f(u)^2+f(v)^2}{2}} \rfloor$, then $f$ is called a super root square mean labeling if $f(V) \cup \{f^*(e):e \in E(G) \}=\{1,2,…,p+q \}. A graph that admits a super root square mean labeling is called as super root square mean graph. In this paper we prove that Double triangular snake, Alternate double triangular snake, Double quadrilateral snake and Alternate Double uadrilateral snake graphs are super root square mean graphs. Keywords: Root Square mean graph, Super Root Square mean graph, Triangular snake, Double triangular snake, Quadrilateral snake, Double quadrilateral snake.