Title of article :
Group {1,−1, i,−i} Cordial Labeling of sum of Cn and Km for some m
Author/Authors :
Karthik Chidambaram, M.K Department of Mathematics - St.Xavier’s College ,Palayamkottai - Tamil Nadu, India , Athisayanathan, S Department of Mathematics - St.Xavier’s College ,Palayamkottai - Tamil Nadu, India , Ponraj, R Department of Mathematics - Sri Paramakalyani College - Alwarkurichi, India
Abstract :
Let G be a (p,q) graph and A be a group. We denote the
order of an element a ∈ A by o(a). Let f : V (G) → A
be a function. For each edge uv assign the label 1
if (o(f(u)), o(f(v))) = 1or 0 otherwise. f is called a
group A Cordial labeling if |vf (a) − vf (b)| ≤ 1 and
|ef (0) − ef (1)| ≤ 1, where vf (x) and ef (n) respectively
denote the number of vertices labelled with an element
x and number of edges labelled with n(n = 0, 1). A
graph which admits a group A Cordial labeling is called
a group A Cordial graph. In this paper we define group
{1,−1, i,−i} Cordial graphs and characterize the graphs
Cn + Km(2 ≤ m ≤ 5) that are group {1,−1, i,−i} Cordial.
Keywords :
Cordial labeling , group A Cordial labeling , group {1,−1, i,−i} Cordial labeling
Journal title :
Astroparticle Physics