Even Vertex Odd Edge Root Square Mean Labelling Of Path Related Graphs

Abstract

Consider G be a graph with p vertices and q edges. A graph G is said to be even vertex odd edge root square mean labelling if there exist an injective map f :V(G)→{0,1,2,3,…,2q} such that the induced edge labels are odd and distinct which can be obtained by f^(* ) (e)=⌈√((〖f(u)〗^2 +〖f(v)〗^2)/2)⌉  or  ⌊√((〖f(u)〗^2 +〖f(v)〗^2)/2)⌋. Any graph which admits even vertex odd edge root square mean labelling then it is called as even vertex odd edge root square mean labelling graph.