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Some Results on Super Root Square Mean Labeling

Journal: International Journal of Mathematics and Soft Computing (Vol.6, No. 1)

Publication Date:

Authors : ; ; ;

Page : 173-182

Keywords : Root Square mean graph; Super Root Square mean graph; Triangular snake; Double triangular snake; Quadrilateral snake; Double quadrilateral snake.;

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Abstract

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 =lfloorsqrt{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 quadrilateral 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.

Last modified: 2017-08-30 01:34:20