Some Star related I-cordial graphs

Abstract

An I-cordial labeling of a graph G = (V, E) is an injective map f from V to *

+

or
* ⌊

⌋ ⌊

⌋+ as p is even or odd, respectively be an injective mapping such that f(u) + f(v) ≠ 0
and induces an edge labeling f*
: E → {0, 1} where, f
*
(uv) = 1 if f(u) + f(v) > 0 and f*
(uv) = 0
otherwise, such that the number of edges labeled with1and the number of edges labeled with 0
differ at most by 1. If a graph has I-cordial labeling, then it is called I-cordial graph.In this
paper, we prove that Bm,n, S'(Bn,n), D2(Bm,n) are I-cordial; Kn,n is I-cordial only if n is even ; Km,n
is I-cordial only if m or n is even and Bn,n
2
is not I-cordial.