TY - JOUR ID - 7924 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 - 46 IS - 1 SP - 35 EP - 50 KW - H-decomposable graph KW - H-E-super magic labeling KW - mixed cycle-E-super magic decomposable graph DO - 10.22059/jac.2016.7924 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, ∑νεV (H) f(v) + ∑νεE (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_7924.html L1 - https://jac.ut.ac.ir/article_7924_c5cc97b6cfd026d4c13e87b580a03b9a.pdf ER -