QSPR Analysis of Some Novel Extension and Generalization of Sombor Index

Document Type : Research Paper

Authors

1 Department of Mathematics, Dibrugarh university, India-786004

2 Department of Mathematics, Pragjyotish College, India-781009

3 Departmrnt of Mathematics, DSHK College, India-786001

Abstract

Although many indices are strongly correlated with various chemical as well as physical properties of a molecular compound but some of them lack proper geometrical interpretations. A newly introduced index called Sombor index is able to catch the attention of the researchers because of its connection with the notion of “2-norm”. In this paper, we propose the status version of the Sombor index. Further, we discuss a generalization of our proposed index and carry out QSPR analysis. Some mathematical properties of the generalization are also discussed.

Keywords

References

  1.  

    1. Buragohain, B. Deka and A. Bharali, A generalized ISI index of some chemical structures, J. Molecular Struct. 1028 (2020) 127843.
    2. C. Das, Atom-bond connectivity index of graphs, Discrete Appl. Math. 158 (2010) 1181-1188.
    3. Deo, Graph Theory with Application to Engineering and Computer Science, PHI Learning Pvt. Ltd., New Delhi, 2016.
    4. Doley, J. Buragohain and A. Bharali, Inverse sum indeg status index of graphs and its applications to octane isomers and benzenoid hydrocarbons, Chemometrics Intell. Lab. Sys. 203 (2020) 104059.
    5. Harary, Graph Theory, Addison-Wesley: Reading, MA, 1969.
    6. Gutman, Geometric Approach to Degree-Based Topological Indices: Sombor Indices, MATCH Commun. Math. Comput. Chem. 86 (2021) 11-16.
    7. Gutman, Degree-based topological indices, Croat. Chem. Acta. 86 (2013) 351-361.
    8. Gutman, B. Furtula and V. Katanić, Randić index and information, AKCE Int. J. Graphs Comb. 15 (2018) 307–312.
    9. Hasani, Study of inverse sum indeg index, J. Math. Nanosci. 7 (2) (2017) 103-109.
    10. V. Konstantinova, The discrimination ability of some topological and information distance indices for graphs of unbranched hexagonal system, J. Chem. Inf. Comput. Sci. 36 (1996) 54-57.
    11. Mondal, A. Dey, N. De and A. Pal, QSPR analysis of some neighbourhood degree-based topological descriptors, Complex Intel. Syst. 7 (2021) 977-996.
    12. S. Ramane, A. S. Yalnaik and R. Sharafdini, Status connectivity indices and coindices of graphs and its computation to some distance-balanced graphs AKCE Int. J. Graphs Comb.17 (1) (2020) 98-108.
    13. S. Ramane and A. S. Yalnaik, Status connectivity indices of graphs and its applications to the boiling point of benzenoid hydrocarbons, J. Appl. Math. Comput. 55 (2017) 609–627.
    14. S. Ramane, B. Basavanagoud and A. S. Yalnaik, Harmonic Status Index of Graphs, Bull. Math. Sci. Appl. 17 (2016) 24-32.
    15. Randić and J. Zupan, On interpretation of well-known topological indeces, J. Chem. Inf. Comput. Sci. 41 (2001) 550-560.
    16. Redžepović, Chemical applicability of Sombor indices, J. Serb. Chem. Soc. 86 (5) (2021) 445-457.
    17. Liu, H. Chen, Q. Xiao, X. Fang and Z. Tang, More on Sombor indices of chemical graphs and their applications to the boiling point of benzenoid hydrocarbons, Int. J. Quantum Chem. 121 (17) (2021) e26689.
    18. Vukičević and M. Gašperov, Bond additive modelling 1. Adriatic indices, Croat. Chem. Acta 83 (2010) 243-260.
    19. B‎. ‎West‎, ‎Introduction to Graph Theory‎, ‎2nd Ed.‎, Prentice Hall‎, ‎Inc.‎, Upper Saddle River, NJ, USA‎, ‎2001‎.
    20. Zhang, L. You, H. Liu and Y. Huang, The expected values and variances for Sombor indices in a general random chain, Appl. Math. Comput. 411 (2021) 126521.
Iranian Journal of Mathematical Chemistry
Volume 13, Issue 1
March 2022
Pages 73-84

Files

Share

How to cite

Statistics