QSPR Analysis of Degree-Eccentricity Based Degcity Indices for Benzenoid Hydrocarbons
DOI:
https://doi.org/10.14419/c7q76p92Published
14-06-2026Keywords:
Benzenoid Hydrocarbons; Degcity Indices; QSPR analysis; Topological Indices.Abstract
This study examines the effectiveness of degree–eccentricity-based degcity indices in the QSPR analysis of benzenoid hydrocarbons. These indices incorporate both vertex degree and eccentricity to capture structural features of molecular graphs. Experimental physicochemical properties such as boiling point, molecular weight, and critical parameters are analyzed using linear regression models. The results indicate that the fourth degcity index shows the strongest predictive performance, while the first, second, and sixth indices also provide good correlations. Comparison with standard topological indices shows strong agreement, particularly with eccentricity-based measures. Overall, degcity indices demonstrate high predictive accuracy and strong discriminating capability for molecular structures.
References
[1] J. R. Dias, Handbook of Polycyclic Hydrocarbons, Part A: Benzenoid Hydrocarbons, Elsevier, (1986).
[2] S. Fajtlowicz, “On conjectures of Graffiti-II”, Congressus Numerantium, Vol.60, (1987), pp.187–197.
[3] B. Furtula and I. Gutman, “A forgotten topological index”, Journal of Mathematical Chemistry, Vol.53, No.4, (2015), pp.1184–1190.
[4] I. Gutman and S. J. Cyvin, Introduction to the Theory of Benzenoid Hydrocarbons, Springer Science & Business Media, (2012).
[5] I. Gutman and N. Trinajstic, “Graph theory and molecular orbitals. Total ´ π-electron energy of alternant hydrocarbons”, Chemical Physics Letters,
Vol.17, (1972), pp.535–538.
[6] S. Hayat, “Distance-based graphical indices for predicting thermodynamic properties of benzenoid hydrocarbons with applications”, Computational
Materials Science, Vol.230, (2023), pp.112492.
[7] R. B. Jummannaver, S. D. Shindhe and B. Deshpande, “Modeling physico-chemical properties of benzenoid hydrocarbons using topological indices of
molecular graphs”, Advances and Applications in Mathematical Sciences, Vol.20, No.10, (2021), pp.2299–2311.
[8] R. Kanabur and V. Shigehalli, “QSPR analysis of degree-based topological indices with physical properties of benzenoid hydrocarbons”, General
Letters in Mathematics, Vol.2, No.3, (2017), pp.150–169.
[9] E. V. Konstantinova, “The discrimination ability of some topological and information distance indices for graphs of unbranched hexagonal systems”,
Journal of Chemical Information and Computer Sciences, Vol.36, No.1, (1996), pp.54–57.
[10] G. Kuriachan and A. Parthiban, “Prediction of π-electronic energy and physical properties of benzenoid hydrocarbons using domination degree based
entropies”, Scientific Reports, Vol.15, No.1, (2025), pp.11359.
[11] V. Lokesha, Suvarna and K. Zeba Yasmeen, “QSPR analysis of certain degree based topological indices of benzenoid hydrocarbons”, Journal of Xi’an
University of Architecture and Technology, Vol.XIII, No.3, (2021), pp.372–379.
[12] S. Mondal, A. Dey, N. De and A. Pal, “QSPR analysis of some novel neighbourhood degree-based topological descriptors”, Complex & Intelligent
Systems, Vol.7, No.2, (2021), pp.977–996.
[13] M. Randic, “Comparative regression analysis. Regressions based on a single descriptor”, ´ Croatica Chemica Acta, Vol.66, No.2, (1993), pp.289–312.
[14] P. Sarkar, A. Pal and S. Mondal, “On some exponential structure descriptors and their applications to benzenoid hydrocarbons”, International Journal of
Quantum Chemistry, Vol.125, No.11, (2025), pp.e70061.
[15] V. Sharma, R. Goswami and A. Madan, “Eccentric connectivity index: A novel highly discriminating topological descriptor for structure-property and
structure-activity studies”, Journal of Chemical Information and Computer Sciences, Vol.37, No.2, (1997), pp.273–282.
[16] K. B. Sudhakara, P. S. Guruprasad and M. A. Sriraj, “Prediction potential of degcity indices for physico-chemical properties of polycyclic aromatic
hydrocarbons: A QSPR study”, Biointerface Research in Applied Chemistry, Vol.13, No.6, (2023), pp.599.
[17] D. Vukicevi ˇ c and B. Furtula, “Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges”, ´ Journal of
Mathematical Chemistry, Vol.46, No.4, (2009), pp.1369–1376.
[18] D. Vukicevi ˇ c and A. Graovac, “Note on the comparison of the first and second normalized Zagreb eccentricity indices”, ´ Acta Chimica Slovenica, Vol.57,
(2010), pp.524–528.
[19] B. Zhou and N. Trinajstic, “On a novel connectivity index”, ´ Journal of Mathematical Chemistry, Vol.46, No.4, (2009), pp.1252–1270
