Euclidean theory in an electromagnetic potential
Jürgen Potthoff (1982)
Annales de l'I.H.P. Physique théorique
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Euclidean theory in an electromagnetic potential
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A total vertex irregular k-labeling φ of a graph G is a labeling of the vertices and edges of G with labels from the set {1,2,...,k} in such a way that for any two different vertices x and y their weights wt(x) and wt(y) are distinct. Here, the weight of a vertex x in G is the sum of the label of x and the labels of all edges incident with the vertex x. The minimum k for which the graph G has a vertex irregular total k-labeling is called the total vertex irregularity strength of G. We...