Document Type : Research Paper
Authors
1 Principal and Head of the Research Centre,Department of Mathematics,Govindammal Aditanar College for Women,Tiruchendur,Tamilnadu,INDIA
2 Department of Mathematics, Kamaraj College of Engineering and Technology, Virudhunagar, India.
3 Department of Mathematics, Dr.G.U. Pope College of Engineering, Sawyerpuram,Thoothukudi District, Tamil Nadu, India
Abstract
A mapping $f: V(G)\rightarrow\left\{0, 1, 2 \right\}$ is called 3-product cordial labeling if $\vert v_f(i)-v_f(j)\vert \leq 1$ and $\vert e_f(i)-e_f(j)\vert \leq 1$ for any $ i, j\in \{0, 1, 2\}$, where $v_f(i)$ denotes the number of vertices labeled with $i, e_f (i)$ denotes the number of edges $xy$ with $f(x)f(y)\equiv i(mod \ 3)$. A graph with 3-product cordial labeling is called 3-product cordial graph. In this paper we establish that vertex switching of wheel,gear graph and degree splitting of bistar are 3-product cordial graphs.
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