
Vertex magic total labeling of products of regular VMT graphs and regular supermagic graphsSecond paper on VMT labelings. AbstractA vertexmagic total labeling of a graph G(V,E) is defined as onetoone mapping from V ∪ E to the set integers {1, 2,..., V+E} with the property that the sum of the label of a vertex and the labels of all edges incident to this vertex is the same constant for all vertices of the graph. A supermagic labeling of a graph G(V,E) is defined as onetoone mapping from E to the set integers {1, 2,..., E} with the property that the sum of the labels of all edges incident to a vertex is the same constant for all vertices of the graph. In the paper we present a technique for constructing vertex magic total labelings of products of certain vertex magic total rregular graphs G and certain 2sregular supermagic graphs H. H has to be decomposable into two sregular factors and if r is even H has to be odd. Status
To appear in the Journal of Combinatorial Mathematics and Combinatorial Computing (JCMCC) in volume 54 August 2005.
