Abstract

A graph  with  vertices and  edges is called a Root Square Mean graph if it is possible to label the vertices  with distinct elements  from  in such a way that when each edge  is labeled with  or   , then the resulting edge labels are distinct. In this case  is called a Root Square Mean labeling of . The concept of Root Square Mean labeling was introduced by (S. S. Sandhya, S. Somasundaram and S. Anusa). We investigated the Root Square Mean labeling of several standard graphs such as Path, Cycle, Comb, Ladder, Triangular snake, Quadrilateral snake etc., In this paper, we investigate the Root Square Mean labeling for Double Triangular snake, Alternate Double Triangular snake, Double Quadrilateral snake, Alternate Double Quadrilateral snake, and Polygonal chain.

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