On the Barycentric Labeling of Certain Graphs

Abstract

Let be an abelian group. A graph is called -magic if there exists edge labeling : ( ) → \ {0} such that the induced vertex set labeling, where the sum is over all edges in ( ), is a constant map.A graph is -barycentric-magic (or has -barycentric labeling) if is -magic and also satisfiesfor all V ∈ and for some vertex V adjacent to V. In this paper we consider some graphs and characterize all ∈ N for which is Z -barycentric-magic.

The neighbourhood polynomial of some families of dendrimers

“…Alikhani and Mahmoudi [6] later considered the neighborhood polynomial for some nanostructures. In this paper, we presented this polynomial for three families of dendrimer graphs namely, PAMAM…”

“…Alikhani and Mahmoudi [6] studied some specific graphs and nanostructures and study their neighbourhood polynomial. So far not many results known on this polynomial.…”