Balanced Mean Cordial Labeling and Graph Operations

Abstract

Balanced mean cordial labeling is a mean cordial labeling $f$ with \linebreak $|v_{f}(i)- v_{f}(j)|=0$, $|e_{f}(i)- e_{f}(j)|=0$, $\forall$ $i,j\in \{0,1,2\}$. In this paper, we investigate mean cordial labeling for P($t\cdot H$), where H be any graph and $t\equiv 0$(mod $3$). We also investigate balanced mean cordial labeling for TP($t\cdot H$), G$^{*}$, P$_{t}$$\times G$, C$_{t}$$\times G$, where H and G both are balanced cordial graphs.