Existence And Construction Methods For Magic Triple Systems

All kinds of triple systems are one of the main research objects of Combinatorial Design theory. There are plentiful results on this field. This text will focus on a special triple system which is relative to labeling graph—magic triple system, which is discussed on the existence and construction methods.In 1992, Lee, Tan and Seah [4] began to do the research together on labeling problem in the Graphic theory. The content is described as follow.We assume that a graph G with p vertices and q edges. We define a bijection f: which map each edge to a distinct number. And then induced by bijection f we define labeling x is any vertex of G, u_i (0