Degree-Based Entropy of Some Classes of Networks

S. Nagarajan, Muhammad Imran (), P. Mahesh Kumar, K. Pattabiraman and Muhammad Usman Ghani ()
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S. Nagarajan: Department of Mathematics, Kongu Arts and Science College (Autonomous), Erode 638107, India
Muhammad Imran: Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain 15551, United Arab Emirates
P. Mahesh Kumar: Department of Mathematics, Kongu Arts and Science College (Autonomous), Erode 638107, India
K. Pattabiraman: Department of Mathematics, Government Arts College (Autonomous), Kumbakonam 612002, India
Muhammad Usman Ghani: Institute of Mathematics, Khawaja Fareed University of Engineering & Information Technology, Abu Dhabi Road, Rahim Yar Khan 64200, Pakistan

Mathematics, 2023, vol. 11, issue 4, 1-14

Abstract: A topological index is a number that is connected to a chemical composition in order to correlate a substance’s chemical makeup with different physical characteristics, chemical reactivity, or biological activity. It is common to model drugs and other chemical substances as different forms, trees, and graphs. Certain physico-chemical features of chemical substances correlate better with degree-based topological invariants. Predictions concerning the dynamics of the continuing pandemic may be made with the use of the graphic theoretical approaches given here. In Networks, the degree entropy of the epidemic and related trees was computed. It highlights the essay’s originality while also implying that this piece has improved upon prior literature-based realizations. In this paper, we study an important degree-based invariant known as the inverse sum indeg invariant for a variety of graphs of biological interest networks, including the corona product of some interesting classes of graphs and the pandemic tree network, curtain tree network, and Cayley tree network. We also examine the inverse sum indeg invariant features for the molecular graphs that represent the molecules in the bicyclic chemical graphs.

Keywords: mathematical chemistry; chemical graph theory; topological invariants; networks (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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