TY - JOUR
ID - 7934
TI - Mixed cycle-E-super magic decomposition of complete bipartite graphs
JO - Journal of Algorithms and Computation
JA - JAC
LA - en
SN - 2476-2776
AU - Marimuthu, G.
AU - Stalin Kumar, S.
AD - Department of Mathematics, The Madura College, Madurai -625 011, Tamilnadu, India
AD - Department of Mathematics, The American College, Madurai - 625 002, Tamilnadu,India
Y1 - 2016
PY - 2016
VL - 47
IS - 1
SP - 37
EP - 52
KW - H-decomposable graph
KW - H-E-super magic labeling
KW - mixed cycle-E-super magic decomposable graph
DO - 10.22059/jac.2016.7934
N2 - 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, ΣνεV(H) f(v) + ΣeεE(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 ≠ j and ∪hi=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].
UR - https://jac.ut.ac.ir/article_7934.html
L1 - https://jac.ut.ac.ir/article_7934_5f537569fcfee7d3d929abdef859d33f.pdf
ER -