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The Journal of Supercomputing
Erschienen in:

01.09.2024

NM-polynomial-based topological indices and graph entropies of porphyrazine

verfasst von: Asma Khalid, Shoaib Iqbal, Muhammad Kamran Siddiqui

Erschienen in: The Journal of Supercomputing | Ausgabe 19/2024

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Abstract

Porphyrazine is a macrocyclic molecule that has potential uses in biology and materials research. In this work, we investigate the topological characteristics of porphyrazine via topological indices. These indices are important in QSPR and QSAR modeling because they aid in the analysis and prediction of physical, biological, and chemical properties associated with a specific chemical structure. In this paper, we investigate neighborhood M-polynomial and graph index-entropy of porphyrazine graph, deriving several topological indices based on neighborhood degree sum from it, and numerical computation and graphical interpretation are used to explain the results further. This research advances our understanding of the basic principles of physics and chemistry by shedding light on the intricate connections between biological processes, chemical reactivity, and molecular structure.
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Literatur
1.
Liu JB, Zhang X, Cao J, Chen L (2024) Mean first-passage time and robustness of complex cellular mobile communication network. IEEE Trans Netw Sci Eng 11(3):3066–3076
2.
Liu JB, Liu BR, Lee CC (2024) Efficiency evaluation of China’s transportation system considering carbon emissions: evidence from big data analytics methods. Sci Total Environ 922:171031
3.
Balaban AT (1985) Applications of graph theory in chemistry. J Chem Inf Comput Sci 25(3):334–343
4.
Aftab MH, Akgül A, Riaz MB, Hussain MA, Jebreen K, Kanj H (2024) Measuring the energy for the molecular graphs of antiviral agents: hydroxychloroquine, chloroquine and remdesivir. S Afr J Chem Eng 47(1):333–337
5.
Ali N, Khalifa T, Iqbal H, Aftab MH, Jebreen K, Jamil H, Kanj H (2024) Graphical Invariants for some Transformed Networks. Eur J Pure Appl Math 17(2):690–709
6.
Martynov AG, Horii Y, Katoh K, Bian Y, Jiang J, Yamashita M, Gorbunova YG (2022) Rare-earth based tetrapyrrolic sandwiches: chemistry, materials and applications. Chem Soc Rev 51(22):9262–9339
7.
Ali I, Aftab MH, Raheed MW, Jebreen K, Kanj H (2023) Topological effects of chiral Pamam dendrimer for the treatment of cancer. Transyl Rev 31(2):1–15
8.
Kanj H, Iqbal H, Aftab MH, Raza H, Jebreen K, Sowaity MI (2023) Topological characterization of hexagonal network and non-Kekulean benzenoid hydrocarbon. Eur J Pure Appl Math 16(4):2187–2197
9.
Chartrand G, Lesniak L (2005) Graphs and Digraphs. The CRS Press, Baltimore, MD, USA, pp 1–386
10.
Hosamani S, Perigidad D, Jamagoud S, Maled Y, Gavade S (2017) QSPR analysis of certain degree based topological indices. J Stat Appl Prob 6(2):361–371
11.
Jebreen K, Aftab MH, Ali I, Sowaity MI, Kanj H (2023) Topological aspects investigated from M-Polynomial of \(\gamma\)-sheet of Boron clusters. Int J Chem Biochem Sci 24(4):469–477
12.
Husin MN, Khan AR, Awan NUH, Campena FJH, Tchier F, Hussain S (2024) Multicriteria decision making attributes and estimation of physicochemical properties of kidney cancer drugs via topological descriptors. PLoS ONE 19(5):e0302276
13.
Husin MN, Hasni R, Imran M (2017) More results on computation of topological indices of certain networks. Int J Netw Virt Organ 17(1):46–63
14.
Liu JB, Zheng YQ, Lee CC (2024) Statistical analysis of the regional air quality index of Yangtze D. Appl Energy 357:122529
15.
Liu JB, Zhao BY (2023) Study on environmental efficiency of Anhui province based on SBM-DEA model and fractal theory. Fractals 31(04):1–10
16.
Jebreen K, Aftab MH, Sowaity MI, Sharada B, Naji AM, Pavithra M (2022) Eccentric harmonic index for the cartesian product of graphs. J Math 2022(1):1–9MathSciNet
17.
Jebreen K, Aftab MH, Sowaity MI, Sharada B, Naji AM, Pavithra M (2022) Research article eccentric harmonic index for the Cartesian product of graphs. J Math 2022:1–9
18.
Jebreen K, Iqbal H, Aftab MH, Yaqoob I, Sowaity MI, Barham A (2023) Study of eccentricity based topological indices for benzenoid structure. S Afr J Chem Eng 45:221–227
19.
Hosoya H (1988) On some counting polynomials in chemistry. Discr Appl Math 19(1–3):239–257MathSciNet
20.
Deutsch E, Klavzar S (2015) M-polynomial and degree-based topological indices. Iran J Math Chem 6(2):93–102
21.
Mondal S, De N, Siddiqui MK, Pal A (2020) Topological properties of para-line graph of some convex polytopes using neighborhood M-polynomial. Biointerface Res Appl Chem 11(3):9915–9927
22.
Mondal S, Siddiqui MK, De N, Pal A (2021) Neighborhood M-polynomial of crystallographic structures. Biointerface Res Appl Chem 11(2):9372–9381
23.
Mondal S, De N, Pal A (2019) On some new neighbourhood degree based indices. Acta Chemica Iasi 27(1):31–46
24.
Mondal S, Dey A, De N, Pal A (2021) QSPR analysis of some novel neighbourhood degree-based topological descriptors. Complex Intell Syst 7:977–996
25.
Ghorbani M, Hosseinzadeh MA (2013) The third version of Zagreb index. Discr Math Algorithms Appl 5(4):1–12MathSciNet
26.
Shannon CE (1948) A mathematical theory of communication. The Bell Syst Tech J 27(3):379–423MathSciNet
27.
Jebreen K, Aftab MH, Sowaity MI, Mufti ZS, Hussain M (2022) An approximation for the entropy measuring in the general structure of sgsp3. Comput Mater Contin 73:4455–4463
28.
Rashevsky N (1955) Life, information theory, and topology. The Bull Math Biophys 17:229–235MathSciNet
29.
Dehmer M, Grabner M (2013) The discrimination power of molecular identification numbers revisited. MATCH Commun Math Comput Chem 69(3):785–794
30.
Ulanowicz RE (2004) Quantitative methods for ecological network analysis. Comput Biol Chem 28(5–6):321–339
31.
Imran M, Khan AR, Husin MN, Tchier F, Ghani MU, Hussain S (2023) Computation of entropy measures for metal-organic frameworks. Molecules 28(12):4726
32.
Vijay JS, Roy S, Beromeo BC, Husin MN, Augustine T, Gobithaasan RU, Easuraja M (2023) Topological properties and entropy calculations of aluminophosphates. Mathematics 11(11):2443
33.
Chaudhry F, Husin MN, Afzal F, Afzal D, Ehsan M, Cancan M, Farahani MR (2021) M-polynomials and degree-based topological indices of tadpole graph. J Discr Math Sci Cryptogr 24(7):2059–2072
34.
Hameed S, Husin MN, Afzal F, Hussain H, Afzal D, Farahani MR, Cancan M (2021) On computation of newly defined degree-based topological invariants of Bismuth Tri-iodide via M-polynomial. J Discr Math Sci Cryptogr 24(7):2073–2091
35.
Ghani MU, Campena FJH, Pattabiraman K, Ismail R, Karamti H, Husin MN (2023) Valency-based indices for some succinct drugs by using M-polynomial. Symmetry 15(3):603
36.
Mowshowitz A, Dehmer M (2012) Entropy and the complexity of graphs revisited. Entropy 14(3):559–570MathSciNet
37.
Dehmer M (2008) Information processing in complex networks: graph entropy and information functionals. Appl Math Comput 201(1–2):82–94MathSciNet
38.
Dehmer M, Sivakumar L, Varmuza K (2012) Uniquely discriminating molecular structures using novel eigenvalue-based descriptors. Match-Commun Math Comput Chem 67:147–172MathSciNet
39.
Havare OC (2021) Topological indices and QSPR modeling of some novel drugs used in the cancer treatment. Int J Quant Chem 121(24):1–23
40.
Kirmani SAK, Ali P, Azam F (2021) Topological indices and QSPR/QSAR analysis of some antiviral drugs being investigated for the treatment of COVID-19 patients. Int J Quant Chem 121(9):1–22
41.
Dehmer M, Mowshowitz A (2011) A history of graph entropy measures. Inf Sci 181(1):57–78MathSciNet
Metadaten
Titel
NM-polynomial-based topological indices and graph entropies of porphyrazine
verfasst von
Asma Khalid
Shoaib Iqbal
Muhammad Kamran Siddiqui
Publikationsdatum
01.09.2024
Verlag
Springer US
Erschienen in
The Journal of Supercomputing / Ausgabe 19/2024
Print ISSN: 0920-8542
Elektronische ISSN: 1573-0484
DOI
https://doi.org/10.1007/s11227-024-06440-y

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