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Research Articles

Measuring Irregularities in the Chemical Compound: Porous Graphene

Pages 3761-3770 | Received 09 Aug 2022, Accepted 13 Jul 2023, Published online: 28 Jul 2023

References

  • A.K. Geim and K.S. Novoselov, “The Rise of Graphene,” Nature Materials 6, no. 3 (2007): 183–91. doi:10.1038/nmat1849
  • N. Peres and R.M. Ribeiro, “Focus on Graphene,” New Journal of Physics 11, no. 9 (2009): 095002. doi:10.1088/1367-2630/11/9/095002
  • M. Bieri, M. Treier, J. Cai, K. Aït-Mansour, P. Ruffieux, O. Gröning, P. Gröning, M. Kastler, R. Rieger, X. Feng, et al. “Porous Graphenes: Two-Dimensional Polymer Synthesis with Atomic Precision,” Chemical Communications 45, no. 45 (2009): 6919–21. doi:10.1039/b915190g
  • G. Chartrand, P. Erdos, and O. Oellermann, “How to Define an Irregular Graph,” The College Mathematics Journal 19, no. 1 (1988): 36–42. doi:10.1080/07468342.1988.11973088
  • Z. Majcher and J. Michael, “Highly Irregular Graphs With Extreme Numbers of Edges,” Discrete Mathematics 164, no. 1–3 (1997): 237–42. doi:10.1016/S0012-365X(96)00056-8
  • M. Behzad and G. Chartrand, “No Graph is Perfect,” American Mathematical Monthly. 74, no. 8 (1967): 962–3. doi:10.2307/2315277
  • B. Horoldagva, B. Lkhagva, S. Dorjsembe, and I. Gutman, “Maximum Size of Maximally Irregular Graphs,” Match Commun. Math. Comput. Chem 76 (2016): 81–98.
  • F. Liu, Z. Zhang, and J. Meng, “The Size of Maximally Irregular Graphs and Maximally Irregular Triangle–Free Graphs,” Graphs and Combinatorics 30, no. 3 (2014): 699–705. doi:10.1007/s00373-013-1304-1
  • L.V. Collatz and U. Sinogowitz, “Spektren Endlicher Graphen,” Abhandlungen Aus Dem Mathematischen Seminar Der Universität Hamburg 21, no. 1 (1957): 63–77. doi:10.1007/BF02941924
  • F.K. Bell, “A Note on the Irregularity of Graphs,” Linear Algebra and Its Applications. 161 (1992): 45–54. doi:10.1016/0024-3795(92)90004-T
  • M. Albertson, “The Irregularity of a Graph,” Ars Comb 46 (1997): 219–25.
  • D. Vukičević and A. Graovac, “Valence Connectivities versus Randić, Zagreb and Modified Zagreb Index: A Linear Algorithm to Check Discriminative Properties of Indices in Acyclic Molecular Graphs,” Croatica Chemica Acta. 77 (2004): 501–8.
  • H. Abdo, S. Brandt, and D. Dimitrov, “The Total Irregularity of a Graph,” Discrete Mathematics Theoretical Computer Science 16 (2014): 201–6.
  • H. Abdo and D. Dimitrov, “The Total Irregularity of Graphs Under Graph Operations,” Miskolc Mathematical Notes 15, no. 1 (2014): 3–17. doi:10.18514/MMN.2014.593
  • H. Abdo and D. Dimitrov, “The Irregularity of Graphs Under Graph Operations,” Discussiones Mathematicae Graph Theory 34, no. 2 (2014): 263–78. doi:10.7151/dmgt.1733
  • I. Gutman, “Topological Indices and Irregularity Measures,” Journal of Bulletin 8 (2018): 469–75.
  • T. Reti, R. Sharfdini, A. Dregelyi-Kiss, and H. Hagobin, “Graph Irregularity Indices Used as Molecular Discriptors in QSPR Studies,” MATCH Communications in Mathematical and in Computer Chemistry 79 (2018): 509–24.
  • M.H. Aftab, K. Jebreen, M.I. Sowaity, and M. Hussain, “Analysis of Eigenvalues for Molecular Structures,” Computers, Materials & Continua 73, no. 1 (2022): 1225–36. doi:10.32604/cmc.2022.029009
  • K. Jebreen, M.H. Aftab, M.I. Sowaity, Z.S. Mufti, and M. Hussain, “An Approximation for the Entropy Measuring in the General Structure of sgsp3,” Computers, Materials & Continua 73, no. 3 (2022): 4455–63. doi:10.32604/cmc.2022.030246

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