Abstract
A well-known structure in materials science and nanotechnology, the 2D-Honeycomb network has unique topological features and prospective uses. In this study, we introduce and explore newly defined Zagreb indices designed exclusively for 2D-Honeycomb Networks as we dig into the world of complicated network research. We investigate the links between these indices and entropy measures through a thorough analysis, shedding insight into the complex interaction between structural features and information content. In addition, we use a logarithmic regression model to reveal the network’s underlying patterns. Our research advances knowledge of 2D-honeycomb networks and illustrates the utility of logarithmic regression in complex system modeling.
Similar content being viewed by others
Data Availability
In this article, no data were utilized.
References
Z. Shao, M.K. Siddiqui, M.H. Muhammad, Computing zagreb indices and zagreb polynomials for symmetrical nanotubes. Symmetry 10(7), 244–260 (2018)
X. Zhang, M. Naeem, A.Q. Baig, M.A. Zahid, Study of hardness of superhard crystals by topological indices. J. Chem. 10, 7–20 (2021)
M.A. Rashid, S. Ahmad, M.K. Siddiqui, S. Manzoor, M. Dhlamini, An analysis, of eccentricity-based invariants for biochemical hypernetworks. Complexity 2021, 1–14 (2021)
W. Gao, M.K. Siddiqui, M. Naeem, N.A. Rehman, Topological characterization of carbon graphite and crystal cubic carbon structures. Molecules 22(9), 1496–1515 (2017)
X. Zhang, X. Wu, S. Akhter, M.K. Jamil, J.B. Liu, M.R. Farahani, Edge-version atom-bond connectivity and geometric arithmetic indices of generalized bridge molecular graphs. Symmetry 10(12), 751–786 (2018)
X. Zhang, H.M. Awais, M. Javaid, M.K. Siddiqui, Multiplicative Zagreb indices of molecular graphs. J. Chem. 2019, 1–19 (2019)
X. Zhang, A. Rauf, M. Ishtiaq, M.K. Siddiqui, M.H. Muhammad, On degree based topological properties of two carbon nanotubes. Polycycl. Aromat. Comp. 42(3), 866–884 (2020)
X. Zhang, A. Raza, A. Fahad, M.K. Jamil, M.A. Chaudhry, Z. Iqbal, On face index of silicon carbides, discrete dynamics in nature and society. 2020, 1–12 (2020)
F. Deng, X. Zhang, M. Alaeiyan, A. Mehboob, M.R. Farahani, Topological indices of the pent-heptagonal nanosheets VC5C7 and HC5C7. Adv. Mater. Sci. Eng. 2019, 9594549 (2019)
X. Zhang, M.K. Siddiqui, S. Javed, L. Sherin, F. Kausar, M.H. Muhammad, Physical analysis of heat for formation and entropy of ceria oxide using topological indices. Comb. Chem. High Throughput Screen. 25(3), 441–450 (2022)
X. Zhang, Z. Zhang, N. Chidambaram et al., On degree and distance-based topological indices of certain interconnection networks. Eur. Phys. J. Plus 137(834), 1–12 (2022)
Xiujun Zhang, M. Ahmad Bilal, Mobeen Munir, Hafiz Mutte, ur Rehman, Maximum degree and minimum degree spectral radii of some graph operations. Math. Biosci. Eng. 19(10), 10108–10121 (2022)
X. Zhang, N. Idrees, S. Kanwal, M.J. Saif, F. Saeed, Computing topological invariants of deep neural networks. Comput. Intell. Neurosci. 2022, 9051908 (2022)
M. Arockiaraj, A.B. Greeni, A.A. Kalaam, Linear versus cubic regression models for analyzing generalized reverse degree based topological indices of certain latest corona treatment drug molecules. Int. J. Quant. Chem. 2(3), 235–247 (2023)
V. Ravi, K. Desikan, Curvilinear regression analysis of benzenoid hydrocarbons and computation of some reduced reverse degree based topological indices for hyaluronic acid-paclitaxel conjugates. Sci. Rep. 13(1), 32–39 (2023)
M. Naeem, M. Atif, A. Khalid, M. Sajid, M.A. Mustafa, Computation of degree-based topological indices for porphyrazine and tetrakis porphyrazine. Mol. Phys. 7(4), 112–126 (2023)
S. Zaman, H.S.A. Yaqoob, A. Ullah, M. Sheikh, QSPR analysis of some novel drugs used in blood cancer treatment via degree based topological indices and regression models. Polycyclic Aromat. Compd. 5(4), 1–17 (2023)
Y. Zhang, A. Khalid, M.K. Siddiqui, H. Rehman, M. Ishtiaq, M. Cancan, On analysis of temperature based topological indices of some Covid-19 drugs. Polycyclic Aromat. Compd. 43(4), 3810–3826 (2023)
N. Kansal, P. Garg, O. Singh, Temperature-based topological indices and QSPR analysis of COVID-19 drugs. Polycyclic Aromat. Compd. 43(5), 4148–4169 (2023)
T. Augustine, S. Roy, J. Sahaya Vijay, J. Maria Thomas, P. Shanmugam, Topological study on degree-based molecular descriptors of fullerene cages. Mol. Phys. 121(4), 213–227 (2023)
L.R.M. Gnanaraj, D. Ganesan, M.K. Siddiqui, Topological indices and QSPR analysis of NSAID drugs. Polycyclic Aromat. Compd. 4(5), 1–17 (2023)
W. Hui, M.K. Siddiqui, S. Akhter, S. Hafeez, Y. Ali, On degree based topological aspects of some dendrimers. Polycyclic Aromat. Compd. 43(4), 3601–3612 (2023)
Z.H. Hui, M. Naeem, A. Rauf, A. Aslam, Estimating the physicochemical properties of antiemetics using degree-based topological descriptors. Mol. Phys. 121(5), 113–123 (2023)
M.C. Shanmukha, S. Lee, A. Usha, K.C. Shilpa, M. Azeem, Degree-based entropy descriptors of graphenylene using topological indices. Comput. Model. Eng. Sci. 20(23), 1–25 (2023)
X. Zuo, H. Shooshtari, M. Cancan, Entropy measures of topological indices based molecular structure of benzenoid systems. Polycyclic Aromat. Compd. 5(7), 1–11 (2023)
S. Sharma, V.K. Bhat, S. Lal, Multiplicative topological indices of the crystal cubic carbon structure. Cryst. Res. Technol. 58(3), 22–38 (2023)
R. Durgut, T. Turacı, Computing some eccentricity-based topological indices of para-line graphs of hexagonal cactus chains. Polycyclic Aromat. Compd. 43(1), 115–130 (2023)
M.S. Sardar, M.A. Ali, F. Ashraf, M. Cancan, On topological indices of double and strong double graph of silicon carbide Si2 C3-I [p, q]. Eurasian Chem. Commun 5(4), 37–49 (2023)
G. Zhang, A. Mushtaq, A. Aslam, S. Parveen, S. Kanwal, Studying some networks using topological descriptors and multi-criterion decision-making. Mol. Phys. 8(7), 227–240 (2023)
J. Amjadi, H. Shooshtari, A. Jahanbani, R. Hasni, Degree-based weighted entropy indices of polycyclic aromatic hydrocarbons. Polycyclic Aromat. Compd. 43(2), 1482–1494 (2023)
S. Zaman, N. Shabbir, Mathematical formulation and irregularity topological indices of cellular neural network system (2023)
N.S. Basavarajappa, K. Niranjan, K.C. Shilpa, Computation of degree-based numerical descriptors of porous graphene. Lett. Appl. NanoBioSci. 12(4), 117 (2023)
M.Y.H. Malik, M.A. Binyamin, S. Hayat, Correlation ability of degree-based topological indices for physicochemical properties of polycyclic aromatic hydrocarbons with applications. Polycyclic Aromat. Compd. 42(9), 6267–6281 (2022)
Z.Q. Chu, M.K. Siddiqui, S. Manzoor, S.A.K. Kirmani, M.F. Hanif, M.H. Muhammad, On rational curve fitting between topological indices and entropy measures for graphite carbon nitride. Polycyclic Aromat. Compd. 43(3), 2553–2570 (2023)
M.U. Ghani, F.J.H. Campena, S. Ali, S. Dehraj, M. Cancan, F.M. Alharbi, A.M. Galal, Characterizations of chemical networks entropies by K-banhatii topological indices. Symmetry 15(1), 143 (2023)
X. Zuo, H. Shooshtari, M. Cancan, Entropy measures of topological indices based molecular structure of benzenoid systems. Polycyclic Aromat. Compd. 15(4), 1–11 (2023)
M.C. Shanmukha, S. Lee, A. Usha, K.C. Shilpa, M. Azeem, Degree-based entropy descriptors of graphenylene using topological indices. Comput. Model. Eng. Sci. 2023, 1–25 (2023)
M. Farhan Hanif, H. Mahmood, On topological descriptor based heat of formation and entropy measure for actinium (III) fluoride. Mol. Phys. 5(3), 345–364 (2023)
Z.H. Hui, A. Rauf, M. Naeem, A. Aslam, A.V. Saleem, Quality testing analysis of Ve-degree based entropies by using benzene derivatives. Int. J. Quant. Chem. 123(17), 17–35 (2023)
K. Jacob, J. Clement, M. Arockiaraj, D. Paul, K. Balasubramanian, Topological characterization and entropy measures of tetragonal zeolite merlinoites. J. Mol. Struct. 1277, 134–151 (2023)
M.S. Zakir, M. Arshad, M.K. Naseer, Z. Kanwal, I. Ahmad, M. Cancan, Evaluation of weighted entropies based on topological indices for poly propyl ether imine dendrimers
Y. Tang, M. Labba, M.K. Jamil, M. Azeem, X. Zhang, Edge valency-based entropies of tetrahedral sheets of clay minerals. PLoS ONE 18(7), 35–46 (2023)
P. Liqiong, M.F. Hanif, H. Mahmood, M.K. Siddiqui, S. Manzoor, M. Cancan, On entropy measures for crystallographic structure of silicon-carbon networks. Polycyclic Aromat. Compd. 5(3), 1–28 (2023)
M. Ren, Analysis of higher education management strategy based on entropy and dissipative structure theory. Appl. Math. Nonlinear Sci. 8, 1529–1538 (2023)
X. Xia, H. Tian, Y. Wang, Innovations to attribute reduction of covering decision system based on conditional information entropy. Appl. Math. Nonlinear Sci. 8, 2103–2116 (2022)
J. Zhao, Analysis and elaboration of enterprise management innovation path based on logistic regression perspective. Appl. Math. Nonlinear Sci. 8, 2003–2014 (2023)
W. Cheng, Model construction of influencing factors of physical education core quality cultivation based on multiple linear regression. Appl. Math. Nonlinear Sci. 8, 2015–2028 (2023)
W. Ren. The analysis method of the impact of missing audit information on the securities investment decisions based on Logistic regression models. Appl. Math. Nonlinear Sci. 8, 1539–1552
Y. Shao, C. Qin, Strategies for constructing mathematical models of nonlinear systems based on multiple linear regression models. Appl. Math. Nonlinear Sci. 8, 1553–1562 (2023)
Z. Chen, M. Dehmer, Y. Shi, A note on distance-based graph entropies. Entropy 16(10), 5416–5427 (2014)
S.R. Batten, N.R. Champness, Coordination polymers and metal-organic frameworks: materials by design. Philos. Trans. R. Soc. A Math. Phys. Eng. Sci. 375(2084), 20160032 (2017)
H. Li, K. Wang, Y. Sun, C.T. Lollar, J. Li, H.C. Zhou, Recent advances in gas storage and separation using metal-organic frameworks. Mater. Today 21(2), 108–121 (2018)
Q. Qian, P.A. Asinger, M.J. Lee, G. Han, K. Mizrahi Rodriguez, S. Lin, Z.P. Smith, MOF-based membranes for gas separations. Chem. Rev. 120(16), 8161–8266 (2020)
R.W. Seidel, I.M. Oppel, 2D Honeycomb Coordination Polymers from 2, -Dithiobis (pyridine N-oxide) and Bismuth (III) Halides. J. Chem. Crystallogr. 53(1), 105–111 (2023)
Acknowledgements
This research work is supported by the project: “Mathematical Modeling and Intelligent Computing Research Center” with grant number(GKY-2022CQJG-1)
Author information
Authors and Affiliations
Contributions
All authors contributed equally.
Corresponding author
Ethics declarations
Conflicts of interest
Authors have no conflict of interest.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Feng, C., Hanif, M.F., Siddiqui, M.K. et al. On analysis of entropy measure via logarithmic regression model for 2D-honeycomb networks. Eur. Phys. J. Plus 138, 924 (2023). https://doi.org/10.1140/epjp/s13360-023-04547-4
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-023-04547-4