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Extremal Sombor Indices of Cactus Graphs: Sparkle, Sun, and Broken Sun Graphs with chemical Applications | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 03 آذر 1404 اصل مقاله (615.35 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2025.30977.2687 | ||
| نویسندگان | ||
| Maryam Mohammadi؛ Hasan Barzegar* | ||
| Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran | ||
| چکیده | ||
| In this paper, we consider a group of cactus graphs with specific pendant edge structures such as sparkle, sun, and broken sun graphs. We focus on calculating the extremal Sombor index of these graphs due to their importance in various scientific fields. The Sombor index, a topological index predicting physicochemical properties of molecules, was introduced by Ivan Gutman. This study extends previous work on Sombor indices for cactus graphs, presenting new findings on the Sombor index of these specialized graphs and their potential use in molecular property prediction. | ||
تازه های تحقیق | ||
[1] S. Alikhani and N. Ghanbari, Sombor index of polymers, MATCH Commun. Math. Comput. Chem. 86 (2021), 715–728. [2] H. Barzegar and M. Mohammadi, Bounds for Sombor index using topological and statistical indices, J. Disc. Math. Appl. 10 (2025), no. 1, 61–85. [3] K.C. Das, A.S. C¸evik, I.N. Cangul, and Y. Shang, On sombor index, Symmetry 13 (2021), no. 1, 140. https://doi.org/10.3390/sym13010140 [4] D. Ebbing and S.D. Gammon, General Chemistry, Cengage Learning, 2007. [5] D.W. Green and R.H. Perry, Perry’s Chemical Engineers’ Handbook, eighth edition, McGraw Hill LLC, 2007. [6] Hechao Liu, Lihua You, and Yufei Huang, Ordering chemical graphs by sombor indices and its applications, MATCH Commun. Math. Comput. Chem. 87 (2022), 5–22. https://doi.org/10.46793/match.87-1.005L [7] J. McMurry, Organic chemistry: A tenth edition, OpenStax, Rice University, 2023. [8] J.E. McMurry, Organic Chemistry, Cengage Learning, USA, 2015. [9] I. Milovanović, E. Milovanović, and M. Matejić, On some mathematical properties of sombor indices, Bull. Int. Math. Virtual Inst. 11 (2021), no. 2, 341–353. https://doi.org/10.7251/BIMVI2102341M [10] M. Mohammadi, H. Barzegar, and A.R. Ashrafi, Comparisons of the Sombor index of alkane, alkyl, and annulene series with their molecular mass, J. Chem. 2022 (2022), no. 1, 8348525. https://doi.org/10.1155/2022/8348525 [11] Royal Society of Chemistry. (n.d.)., Chemspider. retrieved july 28, 2024, from http://www.chemspider.com. [12] National Institute of Standards and Technology, Nist chemistry webbook, n.d., https://webbook.nist.gov/, Accessed: 2024-07-27. [13] C. Phanjoubam and S.M. Mawiong, On Sombor index and some topological indices, Iranian J. Math. Chem. 12 (2021), no. 4, 209–215. [14] H. Rezapour, R. Nasiri, and S. Mousavi, The hyper-Zagreb index of trees and unicyclic graphs, Iran. J. Math. Sci. Inform. 18 (2023), no. 1, 41–54. http://doi.org/10.52547/ijmsi.18.1.41 [15] Ž.K. Vukićević, On the Sombor index of chemical trees, Math. Montisnigri 50 (2021), 5–14. http://dx.doi.org/10.20948/mathmontis-2021-50-1 [16] S. Wagner and H. Wang, Introduction to Chemical Graph Theory, Chapman and Hall/CRC, 2018. | ||
| کلیدواژهها | ||
| Sombor Index؛ Cactus Graphs؛ Sparkle؛ Sun and Broken Sun Graphs | ||
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آمار تعداد مشاهده مقاله: 103 تعداد دریافت فایل اصل مقاله: 145 |
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