Computing Some Eccentricity-Based Topological Indices of Para-Line Graphs of Hexagonal Cactus Chains

References

• Alexander T. Balaban and James Devillers, Topological Indices and Related Descriptors in QSAR and QSPR (Gordon and Breach, Amsterdam, 1999), 21–57.
   Google Scholar
• Harry Wiener, “Structural Determination of Paraffin Boiling Points,” Journal of the American Chemical Society 69, no. 1 (1947): 17–20.
   PubMed Web of Science ®Google Scholar
• I. Gutman, and N. Trinajstić, “Graph Theory and Molecular Orbitals. Total φ-Electron Energy of Alternant Hydrocarbons,” Chemical Physics Letters 17, no. 4 (1972): 535–8.
   Web of Science ®Google Scholar
• Cayley, “LVII. On the Mathematical Theory of Isomers,” The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 47, no. 314 (1874): 444–7.
   Google Scholar
• Hakan Kutucu, and Tufan Turacı, “The Edge Eccentric Connectivity Index of Some Chain Silicates Networks,” Advanced Mathematical Models & Application 2, no. 1 (2017): 58–67.
   Google Scholar
• Roberto Todeschini and Viviana Consonni, Handbook of Molecular Descriptors (Weinheim, Germany: Wiley-VCH, 2008).
   Google Scholar
• Blaz Zmazek, and Janez Zerovnik, “Computing the Weighted Wiener and Szeged Number on Weighted Cactus Graphs in Linear Time,” Croatica Chemica Acta 76, no. 2 (2005): 137–43.
   Web of Science ®Google Scholar
• Muhammad Aamer Rashid, Sarfraz Ahmad, Muhammad Kamran Siddiqui, and Muhammad Imran, “Topological Properties of Para-Line Graphs for Chemical Networks,” Polycyclic Aromatic Compounds (2020): 1–17.
   Web of Science ®Google Scholar
• Zhiqiang Zhang, Zeshan Saleem Mufti, Muhammad Faisal Nadeem, Zaheer Ahmad, Muhammad Kamran Siddiqui, and Muhammad Reza Farahani, “Computing Topological Indices for Para-Line Graphs of Anthracene,” Open Chemistry 17, no. 1 (2019): 955–62.
   Web of Science ®Google Scholar
• Douglas Brent West, Introduction to Graph Theory (Hoboken, NJ: Prentice Hall, 2001).
   Google Scholar
• Ali Reza Ashrafi, Modjtaba Ghorbani, and Mohammad Ali Hosseinzadeh, “The Eccentric Connectivity Polynomial of Some Graph Operations,” Serdica Journal of Computing 5, no. 2 (2011): 101–16.
   Google Scholar
• Fred Buckley and Frank Harary, Distance in Graphs (Redwood City, CA: Addison-Wesley Publishing Company Advanced Book Program, 1990).
   Google Scholar
• Jia-Bao Liu, and Rosary Maria Singaraj, “Topological Analysis of Para‐Line Graph of Remdesivir Used in the Prevention of Corona Virüs,” International Journal of Quantum Chemistry 121, no. 22 (2021): 1–10.
   Web of Science ®Google Scholar
• Shehnaz Akhter, Muhammad Imran, Mohammad Reza Farahani, and Imran Javaid, “On Topological Properties of Hexagonal and Silicate Networks,” Hacettepe Journal of Mathematics and Statistics 48, no. 3 (2019): 711–23.
   Web of Science ®Google Scholar
• Vikas Sharma, Reena Goswami, and A. K. Madan, “Eccentric Connectivity Index: A Novel Highly Discriminating Topological Descriptor for Structure − Property and Structure − Activity Studies,” Journal of Chemical Information and Computer Sciences 37, no. 2 (1997): 273–82.
   Google Scholar
• Zeynep Nihan Odabaş, and Murat Erşen Berberler, “The Modified Eccentric Connectivity Index of Nanocomposites,” Journal of Computational and Theoretical Nanoscience 12, no. 9 (2015): 2208–12.
   Google Scholar
• Rashid Farooq, and M. Ali Malik, “On Some Eccentricity Based Topological Indices of Nanostar Dendrimers,” Optoelectronics and Advanced Materials, Rapid Communications 9 (2015): 842–9.
   Web of Science ®Google Scholar
• Damir Vukičević, and Ante Graovac, “Note on the Comparison of the First and Second Normalized Zagreb Eccentricity Indices,” Acta Chimica Slovenica 57, no. 3 (2010): 524–8.
   PubMed Web of Science ®Google Scholar
• Mojtaba Ghorbani, and Mohammad A. Hosseinzadeh, “A New Version of Zagreb Indices,” Filomat 26, no. 1 (2012): 93–100.
   Web of Science ®Google Scholar
• Aleksandar Ilić, “On the Extremal Properties of the Average Eccentricity,” Computers & Mathematics with Applications 64, no. 9 (2012): 2877–85.
   Web of Science ®Google Scholar
• Aleksandar Ilić, and Ivan Gutman, “Eccentric Connectivity Index of Chemical Trees,” MATCH Communications in Mathematical and in Computer Chemistry 65 (2011): 731–44.
   Web of Science ®Google Scholar
• Ersin Aslan, “The Edge Eccentric Connectivity Index of Armchair Polyhex Nanotubes,” Journal of Computational and Theoretical Nanoscience 12, no. 11 (2015): 4455–8.
   Google Scholar
• Ersin Aslan, and Ömür Kıvanç Kürkçü, “Edge Harmonic Index of Carbon Nanocones and an Algorithm,” Bulgarian Chemical Communications 50, no. 3 (2018): 478–83.
   Google Scholar
• Ersin Aslan, “On the Fourth Atom-Bond Connectivity Index of Nanocones,” Optoelectronics and Advanced Materials-Rapid Communications 9, no. 3–4 (2015): 525–7.
   Web of Science ®Google Scholar
• Morteza Alishahi, and Sakineh H. Shalmaee, “On the Edge Eccentric and Modified Edge Eccentric Connectivity Indices of Linear Benzenoid Chains and Double Hexagonal Chains,” Journal of Molecular Structure 1204 (2020): 127446.
   Web of Science ®Google Scholar
• Muhammad Imran, Muhammad Siddiqui, Amna A. E. Abunamous, Dana Adi, Saida Hafsa Rafique, and Abdul Qudair Baig, “Eccentricity Based Topological Indices of an Oxide Network,” Mathematics 6, no. 7 (2018): 126.
   Web of Science ®Google Scholar
• Nazeran Idrees, Muhammad Jawwad Saif, and Tehmina Anwar, “Eccentricity-Based Topological Invariants of Some Chemical Graphs,” Atoms 7, no. 1 (2019): 21.
   Web of Science ®Google Scholar
• Sakander Hayat, and Muhammad Imran, “Computation of Topological Indices of Certain Networks,” Applied Mathematics and Computation 240 (2014): 213–28.
   Web of Science ®Google Scholar
• Vipin Kumar, Satish Sardana, and Anil Kumar Madan, “Predicting Anti-HIV Activity of 2,3-Diaryl-1,3-Thiazolidin-4-Ones: Computational Approach using Reformed Eccentric Connectivity Index,” Journal of Molecular Modeling 10, no. 5–6 (2004): 399–407.
   PubMed Web of Science ®Google Scholar
• Wei Gao, Zahid Iqbal, Muhammad Ishaq, Rabia Sarfraz, Muhammad Aamir, and Adnan Aslam, “On Eccentricity-Based Topological Indices Study of a Class of Porphyrin-Cored Dendrimers,” Biomolecules 8, no. 3 (2018): 71.
   PubMed Web of Science ®Google Scholar
• Zeynep Nihan Odabaş, “The Edge Eccentric Connectivity Index of Dendrimers,” Journal of Computational and Theoretical Nanoscience 10, no. 4 (2013): 783–4.
   Google Scholar
• Zeynep Nihan Odabaş, and Murat Erşen Berberler, “Edge Eccentric Connectivity Index of Nanothorns,” Bulgarian Chemical Communications 48, no. 1 (2016): 165–70.
   Google Scholar
• Zeeshan Saleem Mufti, Muhammad Faisal Nadeem, Wei Gao, and Zaheer Ahmad, “Topological Study of the Para-Line Graphs of Certain Pentacene via Topological Indices,” Open Chemistry 16, no. 1 (2018): 1200–6.
   Web of Science ®Google Scholar
• Imran Nadeem, Hani Shaker, Muhammad Hussain, and Asim Naseem, “Topological Indices of Para-Line Graphs of V-Phenylenic Nanostructures,” Open Mathematics 17, no. 1 (2019): 260–6.
   Google Scholar
• Douglas J. Klein, and Eunjeong Yi, “A Comparison on Metric Dimension of Graphs, Line Graphs, and Line Graphs of the Subdivision Graphs,” European Journal of Pure and Applied Mathematics 5, no. 3 (2012): 302–16.
   Google Scholar
• Fatima Asif, Zohaib Zahid, Sohail Zafar, Mohammad R. Farahani, and Wei Gao, “On Topological Properties of Some Convex Polytopes by Using Line Operator on Their Subdivisions,” Hacettepe Journal of Mathematics and Statistics 49, no. 1 (2020): 136–46.
   Web of Science ®Google Scholar
• Muhammed Faisal Nadeem, Sohail Zafar, and Zohaib Zahid, “On Certain Topological Indices of the Line Graph of Subdivision Graphs,” Journal of Applied Mathematics and Computing 271 (2015): 790–4.
   Web of Science ®Google Scholar
• Muhammed Faisal Nadeem, Sohail Zafar, and Zohaib Zahid, “On Topological Properties of the Line Graphs of Subdivision Graphs of Certain Nanostructures,” Journal of Applied Mathematics and Computing 273 (2016): 125–30.
   Web of Science ®Google Scholar
• Muhammed Faisal Nadeem, Sohail Zafar, and Zohaib Zahid, “Some Topological Indices of L(S(CNCk[n]),” Punjab University Journal of Mathematics 49, no. 1 (2017): 13–7.
   Web of Science ®Google Scholar
• Tufan Turacı, and Rafet Durgut, “On Topological Properties of Some Molecular Cactus Chain Networks and Their Subdivisions by Using Line Operator,” Journal of Discrete Mathematical Sciences and Cryptography (2021): 1–18.
   Web of Science ®Google Scholar
• Zeinab Foruzanfar, Fatima Asif, Zohaib Zahid, Sohail Zafar, and Mohammad R. Farahani, “ABC4 and GA5 Indices of Line Graph of Subdivision of Some Convex Polytopes,” International Journal of Pure and Applied Mathematics 117, no. 4 (2018): 645–53.
   Google Scholar
• G.E. Uhlenbeck and G.W. Ford, Lectures in Statistical Mechanics (Providence RI: AMS, 1956).
   Google Scholar
• Tufan Turacı, “On Vulnerability of the Hexagonal Cactus Chains,” Karaelmas Science and Engineering Journal 8, no. 1 (2018): 84–8.
   Google Scholar
• Hui Qu, and Guihai Yu, “Chain Hexagonal Cacti with the Extremal Eccentric Distance Sum,” TheScientificWorldJournal 2014 (2014): 897918.
   PubMedGoogle Scholar
• Snjezana Majstorovic, Tomislav Doslic, and Antoaneta Klobucar, “k-Domination of Hexagonal Cactus Chains,” Kragujevac Journal of Mathematics 36, no. 2 (2012): 335–47.
   Google Scholar