%0 Journal Article %A Wen-Fang Peng and Justie Su-Tzu Juan %D 2012 %J International Journal of Computer and Information Engineering %B World Academy of Science, Engineering and Technology %I Open Science Index 65, 2012 %T The Balanced Hamiltonian Cycle on the Toroidal Mesh Graphs %U https://publications.waset.org/pdf/508 %V 65 %X The balanced Hamiltonian cycle problemis a quiet new topic of graph theorem. Given a graph G = (V, E), whose edge set can be partitioned into k dimensions, for positive integer k and a Hamiltonian cycle C on G. The set of all i-dimensional edge of C, which is a subset by E(C), is denoted as Ei(C). %P 674 - 680