Abstract:
A binary vertex labeling f : E(G) → {0, 1} with
induced labeling f
∗
: V (G) → {0, 1} defined by f
∗ P
(v) =
{f(uv) | uv ∈ E(G)}(mod 2) is called E-cordial labeling of
a graph G if the number of vertices labeled 0 and number of
vertices labeled 1 differ by at most 1 and the number of edges
labeled 0 and the number of edges labeled 1 differ by at most
1. A graph which admits E-cordial labeling is called E-cordial
graph. Here we prove that flower graph F ln, closed helm CHn,
double triangular snake DTn and gear graph Gn are E-cordial
graphs.