Difference cordiality of product related graphs

R. Ponraj, S. Sathish Narayanan, R. Kala

Let G be a (p,q) graph. Let f:V(G) {1,2, ... ,p} be a function. For each edge uv, assign the label |f(u)-f(v)|. f is called a difference cordial labeling if f is an injective map and |ef(0)-ef(1)| 1 where ef(1) and ef(0) denote the number of edges labeled with 1 and not labeled with 1 respectively. A graph which admits a difference cordial labeling is called a difference cordial graph. In this paper, we investigate the difference cordiality of torus grids Cm × Cn, Km× P2, prism, book, mobius ladder, Mongolian tent and n-cube.

Tbilisi Mathematical Journal, Vol. 8(2) (2015), pp. 41-47