V-SUPER VERTEX OUT-MAGIC TOTAL LABELINGS OF DIGRAPHS
نویسندگان
چکیده
منابع مشابه
Super Vertex-magic Total Labelings of Graphs
Let G be a finite simple graph with v vertices and e edges. A vertex-magic total labeling is a bijection λ from V (G)∪E(G) to the consecutive integers 1, 2, · · · , v+e with the property that for every x ∈ V (G), λ(x) + Σy∈N(x)λ(xy) = k for some constant k. Such a labeling is super if λ(V (G)) = {1, · · · , v}. We study some of the basic properties of such labelings, find some families of graph...
متن کاملVertex Magic Total Labelings of Complete Graphs
The study of graph labeling has focussed on finding classes of graphs which admits a particular type of labeling. In this paper we consider a particular class of graph which admits a vertex magic total labeling. The class we considered here is the class of complete graphs, Kn . A vertex magic labeling of a graph is a bijection which maps the vertices V and edges E to the integers from 1, 2, 3, ...
متن کاملVertex Magic Total Labelings of Graphs
A vertex magic total labeling of a graph with v vertices and e edges is de ned as a one to one map taking the vertices and edges onto the integers v e with the property that the sum of the label on a vertex and the labels on its incident edges is a constant independent of the choice of vertex Properties of these labelings are studied It is shown how to construct labelings for several families o...
متن کاملVertex-magic labelings: mutations
In this paper, we are studying vertex-magic total labelings of simple graphs. We introduce a procedure called mutation which transforms one labeling into another by swapping sets of edges among vertices. The result of a mutation may be a different labeling of the same graph or a labeling of a different graph. Mutation proves to be a remarkably fruitful process— for example we are able to genera...
متن کاملVertex-Magic Total Labelings of Complete Bipartite Graphs
A vertex-magic total labeling on a graph G is a one-to-one map λ from V (G) ∪E(G) onto the integers 1, 2, · · · , |V (G) ∪E(G)| with the property that, given any vertex x, λ(x) + ∑ y∼x λ(y) = k for some constant k. In this paper we completely determine which complete bipartite graphs have vertex-magic total labelings.
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ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2017
ISSN: 1225-1763
DOI: 10.4134/ckms.c150189