Author/Authors :
Ponraj, R Department of Mathematics Sri Parakalyani College Alwarkurichi , India , SUBBULAKSHMI, S Sri Paramakalyani College Alwarkurich ,Tamilnadu, India , Somasundaram, S Department of Mathematics Manonmaniam sundarnar university - Abishekapatti, Tamilnadu, India
Abstract :
Let G be a graph. Let f:V(G)→{0,1,2,…,k−1} be a function where k∈N and k>1. For each edge uv, assign the label f(uv)=⌈f(u)+f(v)2⌉. f is called k-total mean cordial labeling of G if |tmf(i)−tmf(j)|≤1, for all i,j∈{0,1,…,k−1}, where tmf(x) denotes the total number of vertices and edges labelled with x, x∈{0,1,2,…,k−1}. A graph with admit a k-total mean cordial labeling is called k-total mean cordial graph.
