Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 1

On topological indices of honeycomb networks and graphene networks

Pages
19–35
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we compute first general Zagreb index, general Randic connectivity index, general sum-connectivity index, $ABC$, $GA$, $ABC_4$ and $GA_5$ indices of the line graphs of subdivision graphs of honeycomb networks and graphene.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In QSAR/QSPR study, topological indices such as the Shultz index, generalized Randic index,Zagreb index, general sum-connectivity index, atom-bond connectivity ($ABC$) index and geometric-arithmetic ($GA$) index exploited to estimate the bioactivity of chemical compounds.
📊
Key Findings & Data:In QSAR/QSPR study, topological indices such as the Shultz index, generalized Randic index,Zagreb index, general sum-connectivity index, atom-bond connectivity ($ABC$) index and geometric-arithmetic ($GA$) index exploited to estimate the bioactivity of chemical compounds.
💡
Conclusion & Impact:In this paper, we compute first general Zagreb index, general Randic connectivity index, general sum-connectivity index, $ABC$, $GA$, $ABC_4$ and $GA_5$ indices of the line graphs of subdivision graphs of honeycomb networks and graphene.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Topological indices · atom-bond connectivity index · geometric - arithmetic index

Abstract

In QSAR/QSPR study, topological indices such as the Shultz index, generalized Randic index,Zagreb index, general sum-connectivity index, atom-bond connectivity ($ABC$) index and geometric-arithmetic ($GA$) index exploited to estimate the bioactivity of chemical compounds. In this paper, we compute first general Zagreb index, general Randic connectivity index, general sum-connectivity index, $ABC$, $GA$, $ABC_4$ and $GA_5$ indices of the line graphs of subdivision graphs of honeycomb networks and graphene.

🔖

Cite This Article

GAO, W., AKHTER, S., FARAHANİ, M. R., YOUSUF, M. I. (2022). On topological indices of honeycomb networks and graphene networks. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 1, 19–35. https://ajindex.com/articles/529802

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (1)

  1. S.; Akhter, M.; Imran, “On degree based topological descriptors of strong product graphs", Can. J. Chem., 94(6), 559–565(2016). A.; Ali, Z.; Raza, A. A.; Bhatti, “Extremal pentagonal chains with respect to bond incident degree indices", Can. J. Chem., 94(10), 870–876(2016). A.; Ali, A. A.; Bhatti, Z.; Raza, “Topological study of tree-like polyphenylene systems, spiro hexagonal systems and polyphenylene dendrimer nanostars", Quantum Matter, 5(4), 534–538(2016). A.; Ali, Z.; Raza, A. A.; Bhatti, “Bond incident degree (BID) indices, nanostructures", Optoelectronics Adv. Materials-Rapid Commun, 10, 1-2(2016). A.; Ali, Z.; Raza, A. A.; Bhatti, “Bond Incident Degree (BID) Indices of Polyomino Chains: A Unified Approach", Appl. Math. Comput., 287(9), 28–37(2016). A.; Ali, Z.; Raza, A. A.; Bhatti, “On the Augmented Zagreb Index", Kuwait Journal of Science, 43(2), 123–138(2016). A.; Ali, A. A.; Bhatti, Z.; Raza, “The augmented Zagreb index, vertex connectivity and matching number of graphs", Bull. Iranian Math. Soc. 42(2), 417–425(2016). M.; Baca, J.; Horvathova, M.; Mokrisova and A.; Suhanyiova, “On topological indices of fullerenes", Appl. Math. Comput., 251, 154–161(2015). E.; Estrada, L.; Torres, L.; Rodriguez and I.; Gutman, “An atom-bond connectivity index: modelling the enthalpy of formation of alkanes", Ind. J. Chem., 37A, 849–855(1998). M.; Ghorbani and M. A.; Hosseinzadeh, “Computing ABC4 index of nanostar dendrimers", Optoelectron. Adv. Mater.-Rapid Commun., 4(9), 1419–1422(2010). A.; Graovac, M.; Ghorbani and M. A.; Hosseinzadeh, “Computing fifth geometricarithmetic index for nanostar dendrimers", J. Math. Nanosci., 1(1), 33–42(2011). S.; Hayat and M.; Imran, “Computation of certain topological indices of nanotubes covered by C5 and C7", J. Comput. Theor. Nanosci., 12(4), 533–541(2015). S.; Hayat and M.; Imran, “On some degree based topological indices of certain nanotubes", J. Comput. Theor. Nanosci., 12(8), 1599–1605(2015). S.; Hayat and M.; Imran, “Computation of certain topological indices of nanotubes", J. Comput. Theor. Nanosci., 12(1), 70–76(2015). M.; Imran and S.; Hayat, “Computation of topological indices of certain networks", Appl. Math. Comput., 240, 213–228(2014). M.; Imran, S.; Hayat and M. Y. H.; Malik, “On topological indices of certain interconnection networks", Appl. Math. Comput., 244, 936–951(2014). X.; Li and H.; Zhao, “Trees with the first three smallest and largest generalized topological indices", MATCH Commun. Math. Compu