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Research Articles

The Harmonic and Second Zagreb Indices in Random Polyphenyl and Spiro Chains

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Pages 671-680 | Received 18 Feb 2020, Accepted 26 Mar 2020, Published online: 10 Apr 2020

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Read on this site (5)

Ali Iloon Kashkooly, Maryam Atapour & Murat Cancan. (2023) The Expected Values of Augmented Zagreb and Arithmetic-Geometric Indices in Random Polyphenyl Chains. Polycyclic Aromatic Compounds 43:10, pages 9306-9317.
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Saylé Sigarreta, Saylí Sigarreta & Hugo Cruz-Suárez. (2023) On Bond Incident Degree Indices of Random Spiro Chains. Polycyclic Aromatic Compounds 43:7, pages 6306-6318.
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Kiran Naz, Sarfraz Ahmad, Muhammad Kamran Siddiqui, Hafiz Muhammad Bilal & Muhammad Imran. (2023) On Some Bounds of Multiplicative K Banhatti Indices for Polycyclic Random Chains. Polycyclic Aromatic Compounds 0:0, pages 1-22.
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Zahid Raza. (2022) Zagreb Connection Indices for Some Benzenoid Systems. Polycyclic Aromatic Compounds 42:4, pages 1814-1827.
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K. Julietraja & P. Venugopal. (2022) Computation of Degree-Based Topological Descriptors Using M-Polynomial for Coronoid Systems. Polycyclic Aromatic Compounds 42:4, pages 1770-1793.
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Articles from other publishers (12)

Zahid Raza, Micheal Arockiaraj, Aravindan Maaran, S. Ruth Julie Kavitha & Krishnan Balasubramanian. (2023) Topological Entropy Characterization, NMR and ESR Spectral Patterns of Coronene-Based Transition Metal Organic Frameworks. ACS Omega 8:14, pages 13371-13383.
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Zahid Raza, Micheal Arockiaraj, M. S. Bataineh & Aravindan Maaran. (2023) Cyclooctane chains: mathematical expected values based on atom degree and sum-degree of Zagreb, harmonic, sum-connectivity, and Sombor descriptors. The European Physical Journal Special Topics.
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Jia‐Bao Liu, Jiao‐Jiao Gu & Kang Wang. (2022) The expected values for the Gutman index , Schultz index, and some Sombor indices of a random cyclooctane chain . International Journal of Quantum Chemistry 123:3.
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Kiran Naz, Sarfraz Ahmad & Eihab Bashier. (2022) On Computing Techniques for Sombor Index of Some Graphs. Mathematical Problems in Engineering 2022, pages 1-13.
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Dalal Alrowaili, Zohaib Zahid, Imran Siddique, Sohail Zafar, Muhammad Ahsan & Muhammad Sarwar Sindhu. (2022) On the Constant Edge Resolvability of Some Unicyclic and Multicyclic Graphs. Journal of Mathematics 2022, pages 1-9.
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Xinmei Liu, Xinfeng Liang & Xianya Geng. (2022) Expected Value of Multiplicative Degree-Kirchhoff Index in Random Polygonal Chains. Mathematical Biosciences and Engineering 20:1, pages 707-719.
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Zahid Raza, Juan LG Guirao & Ghada Bassioni. (2022) The comparative analysis of two molecular indices in random polyphenyl and spiro chains. Mathematical Biosciences and Engineering 19:12, pages 12500-12517.
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Zahid Raza & Muhammad Imran. (2021) Expected Values of Some Molecular Descriptors in Random Cyclooctane Chains. Symmetry 13:11, pages 2197.
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Zahid Raza, Mohammad Saleh Bataineh & Mark Essa Sukaiti. (2021) On the zagreb connection indices of hex and honeycomb networks. Journal of Intelligent & Fuzzy Systems 40:3, pages 4107-4114.
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Zahid Raza. (2021) The expected values of some indices in random phenylene chains. The European Physical Journal Plus 136:1.
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Shazia Manzoor, Yu-Ming Chu, Muhammad Kamran Siddiqui & Sarfraz Ahmad. (2020) On topological aspects of degree based entropy for two carbon nanosheets. Main Group Metal Chemistry 43:1, pages 205-218.
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Yu-Ming Chu, Muhammad Imran, Abdul Qudair Baig, Shehnaz Akhter & Muhammad Kamran Siddiqui. (2020) On M-polynomial-based topological descriptors of chemical crystal structures and their applications. The European Physical Journal Plus 135:11.
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