Vertex Switching in 3-Product Cordial Graphs

Abstract

A mapping $f: V(G)rightarrowleft{0, 1, 2 right}$ 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, jin {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.