Reciprocal Atom-bond connectivity and Fourth Atom-bond connectivity indices for Polyphenylene structure of molecules

Anil Kumar, K.N.; Basavarajappa, N.S.; Shanmukha, M.C.; Usha, A.

doi:10.22034/ecc.2020.255902.1095

Document Type : Original Research Article

Authors

¹ Department of Mathematics, Bapuji Institute of Engineering and Technology, Davanagere-577004 and affiliated to Visvesvaraya Technological University, Belagavi, Karnataka, India

² Department of Mathematics, Jain Institute of Technology, Davanagere-577003 and affiliated to Visvesvaraya Technological University, Belagavi, Karnataka, India

³ Department of Mathematics, Alliance College of Engineering and Design, Alliance University, Anekal-Chandapura Road, Bangalore, Karnataka, India

https://doi.org/10.22034/ecc.2020.255902.1095

Abstract

Polyphenylene is a class of polycyclic aromatic compounds that has varied applications in biochemistry and biology. A numerical measure that defines the characteristics of a chemical structure is called topological index. In chemical graph theory, Estrada et al. proposed the degree-based topological indices known as Atom-bond connectivity index [4]. A new version of index is Fourth Atom-bond connectivity index proposed by M. Ghorbani et al. [6]. A valuable predictive index in the study of the heat of formation of alkanes, the strain energy of cycloalkanes is index. Based on this, numerous articles were reported. In this study, novel indices, Reciprocal Atom-bond Connectivity and Reciprocal Fourth Atom-bond connectivity indices were proposed and a comparative study of correlation with properties of octane isomers were given. It was observed that these indices showed good correlation for physico chemical properties of octane isomers. Subsequently, Reciprocal Atom-bond connectivity and Reciprocal Fourth Atom-bond connectivity indices for Polyphenylene structure of molecules were computed.

Graphical Abstract

Keywords

Main Subjects

Methematical Chemistry

References

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Eurasian Chemical Communications

Reciprocal Atom-bond connectivity and Fourth Atom-bond connectivity indices for Polyphenylene structure of molecules

References

References

Volume 2, Issue 12
December 2020
Pages 1202-1209

Reciprocal Atom-bond connectivity and Fourth Atom-bond connectivity indices for Polyphenylene structure of molecules

References

References

Volume 2, Issue 12December 2020Pages 1202-1209

Volume 2, Issue 12
December 2020
Pages 1202-1209