Abstract
AbstractIn recent past, porphyrin-based dendrimers have gained great attraction due to their usefulness in nano devices and photo-dynamic therapy. New technologies based upon nano-materials or dendrimers have potential to overcome the problems due to conventional drug delivery, like toxicity, poor solubility and poor release pattern of drugs. The chemical and physical properties of these highly branched nanometer sized dendrimers depend on their structure. In chemical network theory, various topological indices are used to predict chemical properties of molecules(dendrimers). Among many useful topological descriptors forgotten coindex is relatively less explored but is found very useful in material engineering, pharmaceutical and chemical industries. In this article, we consider some special dendrimers, like poly(propyl) ether imine, porphyrin, and zinc-porphyrin, and nanostars likeD1[k] andD2[k] and compute forgotten coindex for these important structures.
Highlights
Average cost of new drugs is rising faster than the inflation rate
Forgotten coindex of some non-toxic dendrimers structure used in targeted drug delivery 23 boiling/melting point, strain energy and stability etc, to the industries especially to the pharmaceutical industry see Imran et al (2014)
Gutman and Trinajstić (1972) explored that the total π − electron energy is dependent upon its structure
Summary
Average cost of new drugs is rising faster than the inflation rate. The main reason for this rapid increase in prices of drugs is due to expenditures on R&D to. The formulas given by Gutman and Trinajstić (1972) to approximate the total π − electron energy are known as the first and second Zagreb indices and defined respectively by:. Later in Estrada (2008) and Gutman et al (2012) many important properties of ABC-index are explored to establish that there is a strong correlation between the thermodynamical properties of alkanes and their ABCindex Another vertex-degree based topological index that was introduced in Gutman and Trinajstić (1972), has been explored after for more than forty years by Furtula and Gutman (2015). Lemma 1.1 represents the relationship between nonadjacent vertices and order n of a graph
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