TOPOLOGICAL EFFECTS OF CHIRAL PAMAM DENDRIMER FOR THE TREATMENT OF CANCER

Iftikhar  Ali; Nabaa  Muhammad diaa; Muhammad  Haroon Aftab; Muhammad  Waheed Raheed; Kamel  Jebreen; Hassan  Kanj

Iftikhar Ali Department of Mathematics and Statistics, The University of Lahore, Lahore 54500, Pakistan
Nabaa Muhammad diaa Department of Construction Engineering & Project Management, Al-Noor University College, Nineveh, Iraq
Muhammad Haroon Aftab Department of Mathematics and Statistics, The University of Lahore, Lahore 54500, Pakistan
Muhammad Waheed Raheed Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan
Kamel Jebreen Department of Mathematics, Palestine Technical University, Kadoorie, Hebron P766, State of Palestine
Hassan Kanj College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait

Abstract

In this paper, we have taken the chiral PAMAM dendrimer (????????????) of molecular graph transformed from the chemical compound of chiral PAMAM dendrimer. Dendrimers have so many uses in area of chemistry and in composition of drugs. After the conversion of graph into planar, finite, simple and connected with the help of various mathematical techniques, we have investigated M-Polynomials (????????) and topological invariants (????????). Different topological invariants such as first and second Zagreb, second modified Zagreb, general Randic, reciprocal general Randic, symmetric, harmonic and inverse sum are determined from the M-Polynomial. We have also determined the atomic bond connectivity, geometric-arithmetic index and general harmonic index, first Gourava, second Gourava, first hyper-Gourava and second hyper-Gourava indices. We have also discussed the graphical behaviors of the above-mentioned structure.