اليرقات الخاصة في الكيمياء ورؤاها البيانية الطيفية

Wagner, Stephan, Hua Wang. Introduction to Chemical Graph Theory. Florida: CRC Press Taylor & Francis Group; 2018 Sep 5. p. 1-10. https://doi.org/10.1201/9780429450532.

Sun Y, Zhao H. Eigenvalue-based entropy and spectrum of bipartite digraph. Complex Intell Syst. 2022 Sep 20; 8(4): 3451–3462. https://doi.org/10.1007/s40747-022-00679-9.

Balakrishnan R, Ranganathan K A Textbook of Graph Theory. 2nd Ed. New York Heidelberg Dordrecht London: Springer Science & Business Media; 2012. p. 261-267. https://doi.org/10.1007/978-1-4614-4529-6.

Dehmer M. Information processing in complex networks: Graph entropy and information functionals. Appl Math Comput. 2008 Jul 15; 201(1-2): 82–94. https://doi.org/10.1016/j.amc.2007.12.010.

Brouwer AE, Haemers WH. Spectra of Graphs. New York Heidelberg Dordrecht London: Springer Science & Business Media Springer; 2011 Dec 17. p. 1-17. https://doi.org/10.1007/978-1-4614-1939-6_1.

Celik F, Cangül İ. On the spectra of cycles and paths. TWMS J Appl Eng Math. 2019 Jul 1; 9(3): 571–580.

Alwan NA, Al-Saidi NM. A general formula for characteristic polynomials of some special graphs. Eng. & Tech J. 2016 May 1; 34(5): 638–650.

Gutman I, Trinajstić N. Graph theory and molecular orbitals. Total φ-electron energy of alternant hydrocarbons. Chem Phys Lett. 1972 Dec 15; 17(4): 535–538. https://doi.org/10.1016/0009-2614(72)85099-1.

Anwar S, Jamil MK, Alali AS, Zegham M, Javed A. Extremal values of the first reformulated Zagreb index for molecular trees with application to octane isomers. AIMS Math 2024; 9(1): 289-301. http://dx.doi.org/10.3934/math.2024017.

Mitesh JP, Kajal SB, Ashika .P. More on second Zagreb energy of graphs. Open J Discret Appl Math. 2023 Dec 27. 2(4): 7 – 13. http://dx.doi.org/10.30538/psrp-odam2023.0084.

Dobrynin AA, Estaji E. Wiener index of hexagonal chains under some transformations. Open J Discret Appl Math. 2020 Dec 31; 3(1): 28-36. https://doi:10.30538/psrp-odam2020.0027.

Noor M, Jamil MK, Ullah K, Azeem M, Pamucar D, Almohsen B. Energies of T-spherical fuzzy graph based on novel Aczel-Alsina T-norm and T-conorm with their applications in decision making. J Intell Fuzzy Syst. 2023 Jan 1. 45(6): 9363 – 9385. http://dx.doi.org/ 10.3233/JIFS-231086.

Waheed M, Saleem U, Javed A, Jamil MK. Computational aspects of entropy measures for metal organic frameworks. Mol Phys. 2023 Sep 7: e2254418. https://doi.org/10.3390/molecules28124726 .

Al-Janabi H, Bacs´o G. Sanskruti Index of some Chemical Trees and Unicyclic Graphs. J Phys Conf Ser. 2022 Jun 1; 2287: 012005. https://doi.org/10.1088/1742-6596/2287/1/012005 .

Lin Z. Connectivity indices and QSPR analysis of benzenoid hydrocarbons. Open J Discret Appl Math. 2023 Dec 27. 3(2): 35 – 40. https://doi.org/10.30538/psrp-odam2023.0092 .

Ahmad Z, Naseem M, Jamil MK, Siddiquid MK, Nadeemd MF. New results on eccentric connectivity indices of V-Phenylenic nanotube. Eurasian Chem Commun. 2020 June 1; 6(3): 663-71. http://dx.doi.org/10.33945/SAMI/ECC.2020.6.3

Raja NJMM, Anuradha A. Topological entropies of single walled carbon nanotubes. J. Math. Chem. 2023 Nov 2: 1-0. https://doi.org/10.1007/s10910-023-01532-1

Raja NJMM, Anuradha A. On Sombor indices of generalized tensor product of graph families. Results Control Optim. 2024 Jan 10: 100375. https://doi.org/10.1016/j.rico.2024.100375 .

Devaragudi V, Chaluvaraju B. Block Sombor index of a graph and its matrix representation. Open J Discret Appl Math. 2023 Apri 30; 6(1): 1-11. http://dx.doi.org/10.30538/psrp-odam2023.0078.

Jamil MK, Imran M, Abdul Sattar K. Novel face index for benzenoid hydrocarbons. Mathematics. 2020 Mar 1; 8(3): 312. http://dx.doi.org/doi:10.3390/math8030312.

Zhang X, Waheed M, Jamil MK, Saleemd U, Javed A. Entropy measures of the metal–organic network via topological descriptors. Main Group Met Chem. 2023 Dec 12; 46(1): 20230011. https://doi.org/10.1515/mgmc-2023-0011 .

Sardar MS, Siddique I, Jarad F, Ali MA, Türkan EM, Danish, M. Computation of vertex-based topological indices of middle graph of alkane. J Math. 2022; 2022(3): 24. https://doi.org/10.1155/2022/8283898 .

Sardar M S, Ali M A, Farahani M R, Alaeiyan M, Cancan M. Degree-based topological indices of alkanes by applying some graph operations. Eur Chem Bull. 2023; 12(5): 39-50. https://doi.org/10.31838/ecb/2023.12.si5.004 .

Puruchothama MN, Simon F. Diagrammatic representation between topological indices and alkanes. J Algebr Stat. 2022 Jul 23; 13(2): 3536–3545.

Lakshmi KV, Parvathi N. An analysis of thorn graph on topological indices. IAENG Int J Appl Math. 2023 Sep 1; 53(3): 1084-1093.

Javaid M, Siddique MK, Bonyah E. Computing Gutman connection index of thorn graphs. J Math. 2021 Nov 15; 2021(6): 11. https://doi.org/10.1155/2021/2289514 .

Chithra KP, Mayamma J. Total global dominator coloring of trees and unicyclic graphs. Baghdad Sci J. 2023; 20(4): 1380-1386. https://doi.org/10.21123/bsj.2023.6457 .

Ali AM, Ahmed HJ, Saleh GAM. Detour polynomials of generalized vertex identified of graphs. Baghdad Sci J. 2023 Apr 1; 20(2): 0343–0343. https://doi.org/10.21123/bsj.2022.6350 .

Ouellette RJ, Rawn JD. Organic Chemistry: Structure, Mechanism, Synthesis. Academic Press; 2018 Feb 3. p 87-133. https://doi.org/10.1016/C2016-0-04004-4 .

Clark GJ, Cooper JN. A Harary-Sachs theorem for hypergraphs. J Comb Theory Ser B. 2021 Jul 1; 149(1): 1–15. https://doi.org/10.1016/j.jctb.2021.01.002 .