IJFANS International Journal of Food and Nutritional Sciences

ISSN PRINT 2319 1775 Online 2320-7876

Mean Square Difference Cordial Labeling of Path Related Graphs

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S.STANLY, DR.I.GNANASELVI, DR.S.ALICE PAPPA

Abstract

Mean Square Difference Cordial Labeling of a graph G with vertex set V is a bijection from V(G) to {1, 2, ……,|V(G)| } such that an edge uv is assigned 0, if ⌊|〖[f(u)]〗^2-〖[f(v)]〗^2 |/2⌋ is even and an edge uv is assigned 1, if ⌊|〖[f(u)]〗^2-〖[f(v)]〗^2 |/2⌋ is odd then the number of edges labeled with 0 and the number of edges labeled with 1 differ by at most 1. A graph with a mean square difference cordial labeling is called a Mean Square Difference Cordial graph. This paper elucidates Mean Square Difference Cordial Labeling of Centipede, Total graph of path, Quadrilatornal Snake, Hurdle, ladder and P_n⨀A(k_1) graphs.

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