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Total vertex irregularity strength of disjoint union of Helm graphs

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Ahmad A., Baskoro E., Imran M.

Discussiones Mathematicae Graph Theory

2012

tom 32

nr 3

427-434

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 have determined an exact value of the total vertex irregularity strength of disjoint union of Helm graphs.

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1 Discussiones Mathematicae Graph Theory

1 Ahmad A.

1 Baskoro E.

1 Imran M.

1 2012

Wyniki wyszukiwania

Total vertex irregularity strength of disjoint union of Helm graphs