Author/Authors :
Marimuthu, G Department of Mathematics - The Madura College - Madurai - Tamilnadu, India , Stalin Kumar, S Department of Mathematics - The American College - Madurai - Tamilnadu, India
Abstract :
An H-magic labeling in a H-decomposable graph G is a
bijection f : V (G) ∪ E(G) → {1, 2, ..., p + q} such that
for every copy H in the decomposition, Pv2V (H) f(v) +
Pe2E(H) f(e) is constant. f is said to be H-E-super
magic if f(E(G)) = {1, 2, · · · , q}. A family of subgraphs
H1,H2, · · · ,Hh of G is a mixed cycle-decomposition of G
if every subgraph Hi is isomorphic to some cycle Ck, for
k ≥ 3, E(Hi) ∩ E(Hj) = ∅ for i 6= j and ∪h
i=1E(Hi) =
E(G). In this paper, we prove that K2m,2n is mixed
cycle-E-super magic decomposable where m ≥ 2, n ≥ 3,
with the help of the results found in [1].
