Irregular labelings of helm and sun graphs

Abstract

A vertex irregular total -labeling of a -graph is a labeling such that the weights of the vertices are different for all vertices. The total vertex irregularity strength is the minimum for which has a vertex irregular total -labeling. The labeling is an edge irregular total -labeling if for any two distinct edges and , one has where . The total edge irregularity strength is the minimum for which has an edge irregular total -labeling. In this paper we determine where is the generalized helm and where is the generalized sun graph.