Nmagic labeling in graph theory pdf

We have shown that the removal of a fuzzy bridge from a fuzzy magic cycle with odd nodes reduces the strength of a fuzzy magic cycle. An interesting open problem is whether it is possible to find a super edge magic labeling for a general merge graph tm sn for m 2, n 1. In the mathematical discipline of graph theory, a graph labelling is the assignment of labels, traditionally represented by integers, to edges andor vertices of a graph. Cycle is a graph where there is an edge between the adjacent vertices only and the vertex is adjacent to last one fig1. Partially magic labelings and the antimagic graph conjecture. If g is a magic graph and f is a magic labeling of g for which ther exists e eu such that fe1. Introduction 2 we generalize stanleys theorem theorem3. Part bipartite graph in discrete mathematics in hindi example definition complete graph theory duration. Graph theory is abundant with fascinating open problems. Z, in other words it is a labeling of all edges by integers.

Any undefined graph theory terminology used in this paper. In this paper, a generalization of a groupmagic graph is introduced and. Magic and antimagic labeling of graphs kiki ariyanti sugeng this thesis is submitted in total ful. On antimagic labeling for graph products sciencedirect. The reverse super vertex magic labeling of a graph is the reverse vertex magic labeling with the condition that all the vertices of the graph takes the labels 1,2,3, v. A graph is called anti magic if it admits an anti magic labeling. A graph with such a labeling is an edge labeled graph.

A magic labeling l of p satisfying le 0 for all edges e. The concepts of fuzzy labeling and fuzzy magic labeling graph are introduced. Ringmagic labelings of graphs the australasian journal of. Kotzig and rosa3 defined a magic labeling of a graph gv,e as a bijection f. Magic labeling of the generalized web graph w 0t, n. A graph is magic if the edges can be labeled with nonnegative real numbers such that. Pdf z kmagic labeling of some families of graphs researchgate. More generally, every graph each of whose vertexdegree is odd is z2magic. This paper addresses labeling graphs in such a way that the sum of the vertex labels and incident edge labels are the same for every vertex. Friendship graphs, magic labeling, vertex magic total labeling, edge magic total labeling, total magic labeling are as follows.

A super edge magic labeling of t6s2 figure 6 concluding observations we have obtained results similar to theorem 3. For the remainer of this paper whenever refering to a graph we will be refering to an edge labeled graph. Number theory, analytic geometry, fermats principle. It is proved that every fuzzy magic graph is a fuzzy labeling graph, but the converse is not true. Magic and antimagic labeling of graphs researchgate. Graph labeling is currently an emerging area in the research of graph theory. Fuzzy magic labeling for some graphs like path, cycle, and star graph is defined. An anti magic labeling of a finite simple undirected graph with p vertices and q edges is a bijection from the set of edges to the set of integers 1, 2, q such that the vertex sums are pairwise distinct, where the vertex sum at one vertex is the sum of labels of all edges incident to such vertex.