On Counting Polynomials of Supercoronenes and Triangle-Shaped Discotic Graphene

Polynomials with an exponential equivalent to the extent of a characteristic partition and coefficients proportional to the multiplicity/occurrence of the accompanying partition are termed as counting polynomials. These polynomials are a well-known method for describing a chemical graph's molec...

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Published inPolycyclic aromatic compounds Vol. 44; no. 5; pp. 3243 - 3271
Main Authors Prabhu, S., Arulperumjothi, M., Guirao, Juan Luis García, Muthucumaraswamy, R., Gayathri, V., Farahani, M. R.
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 27.05.2024
Taylor & Francis Ltd
Subjects
Chemical properties
coveHBC(n)
Drug development
Graphene
Invariants
Nanostructure
Physicochemical properties
Polynomials
Real numbers
Supercoronene
Topology
triangle-shaped discotic graphene
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Summary:Polynomials with an exponential equivalent to the extent of a characteristic partition and coefficients proportional to the multiplicity/occurrence of the accompanying partition are termed as counting polynomials. These polynomials are a well-known method for describing a chemical graph's molecular invariants as polynomials. It is possible to deduce several key topological invariants from polynomials by either directly taking their value at a certain point or by calculating derivatives or integrals of the polynomial. A topological invariants is a real number correlated with a network that predicts the physico-chemical properties. Chemical modeling, drug design, and structural activity relations use invariants. This paper aims to find the counting polynomials such as Sadhana, omega, PI and theta polynomial of certain graphene nanostructures. In furthermore, topological invariants of specific graphene nanostructures that are related to these counting polynomials are investigated.
ISSN:1040-6638
1563-5333
DOI:10.1080/10406638.2023.2232575