DISTINGUISHING NUMBER IN SOME ASPECTS OF DENDRIMERS

DISTINGUISHING NUMBER IN SOME ASPECTS OF DENDRIMERS

A. Salat, A. Sharma

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Abstract

The main purpose of the present study is to determine the distinguishing number of some dendrimers. The most known dendrimers such as Polyamidoamine (PAMAM), polylysine (PLL), Poly propyl ether imine (PETIM) and zinc porphyrin (DPZn) have a great impact in drug delivery systems, biomedical, etc. Based on structure of these dendrimers, some new graphs have been defined which resemble with the structure of dendrimers.The n-generation of hexa-cyclic dendrimer HCn,d and hexa-star dendrimer HSn,d have been introduced. Further, the distinguishing number of n−generations of graphs; Cd6 , hexa-cyclic dendrimer HCn,d and hexa-star dendrimer HSn,d have been determined successfully.

Keywords

Automorphism of graph, Distinguishing number, Dendrimer.