Abstract:
A graph G is simple means it is un directed, does not contain any multiple edges and loop. In a directed, the direction of edges are given. The graph is connected if all the edges and vertices are given. A graph is said to be loop when starting and ending vertex is same. If we assigns positive integers to the set of nodes(vertices) and set of lines(edges) by a mapping that is bijection then it is known as labeling. If we assigns positive integers to set of nodes(vertices) only then the labeling become vertex(node) labeling. If we assigns positive integers to set of lines(edges) then the labeling is known as edge(line) labeling. If we label the vertex(nodes) set and edge(lines) set both the resulting labeling is known as total labeling. There are many types of labeling but in this we will discuss about the magic type labeling. The terms edge label, edge sum and edge weights will help us to label the graph. In research magic and anti-magic labelingisgrowingfast. We will introduce new results on the basis of a concept labeling that is SEMTL of the families of subdivided star.