Total vertex irregularity strength of certain classes of unicyclic graphs

Abstract:

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 certain classes of unicyclic graphs.

Año de publicación:

2014

Keywords:

• Kite graphs
• total vertex irregularity strength
• Cycles
• Vertex irregular total k-labeling
• STARS
• Paths

Fuente:

scopus