Biochemical and phylogenetic networks-I: hypertrees and corona products

R Sundara Rajan; K Jagadeesh Kumar; A Arul Shantrinal; T M Rajalaxmi; Indra Rajasingh; Krishnan Balasubramanian

doi:10.1007/s10910-020-01194-3

Biochemical and phylogenetic networks-I: hypertrees and corona products

J Math Chem. 2021;59(3):676-698. doi: 10.1007/s10910-020-01194-3. Epub 2021 Feb 6.

Authors

R Sundara Rajan¹, K Jagadeesh Kumar¹, A Arul Shantrinal¹, T M Rajalaxmi², Indra Rajasingh³, Krishnan Balasubramanian⁴

Affiliations

¹ Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, 603 103 India.
² Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, 603 110 India.
³ School of Advanced Sciences, Vellore Institute of Technology, Chennai, 600 127 India.
⁴ School of Molecular Sciences, Arizona State University, Tempe, AZ 85287-1604 USA.

Abstract

We have obtained graph-theoretically based topological indices for the characterization of certain graph theoretical networks of biochemical interest. We have derived certain distance, degree and eccentricity based topological indices for various k-level hypertrees and corona product of hypertrees. We have also pointed out errors in a previous study. The validity of our results is supported by computer codes for the respective indices. Several biochemical applications are pointed out.

Keywords: Biochemical networks; Corona product of graphs; Eccentricity-based topological indices; Mathematical modeling; Topological indices of hypertrees.