تعداد نشریات | 27 |
تعداد شمارهها | 366 |
تعداد مقالات | 3,243 |
تعداد مشاهده مقاله | 4,753,782 |
تعداد دریافت فایل اصل مقاله | 3,244,690 |
An elliptic-eccentric sombor index of graphs and its chemical applicabilities | ||
Journal of Hyperstructures | ||
دوره 13، شماره 2، 2024، صفحه 222-236 اصل مقاله (1.85 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22098/jhs.2024.15446.1027 | ||
نویسندگان | ||
B Chaluvaraju* 1؛ N Harish1؛ C. Nandeesh Kumar2 | ||
1Department of Mathematics, Jnana Bharathi Campus, Bangalore University, Bengaluru, India | ||
2R V University, Bengalore, India | ||
چکیده | ||
Recently, Gutman et al., \cite{gfs} introduced the concept of an elliptic Sombor index of a graph. Based on their work, in this paper we initiated the distance (particularly, eccentricity) based graphical indices called an elliptic-eccentric Sombor index of graphs. Here, we compute the exact values of a certain class of graphs. Also, some inequalities and characterizations in terms order, size, degrees, radius, diameter and other graphical indices are obtained. Further, we obtained the comparative analysis of molecular graph of Heptane isomers. | ||
کلیدواژهها | ||
Sombor index؛ Elliptic Sombor index؛ Zagreb eccentricity indices؛ Sombor eccentricity index, Molecular graph | ||
مراجع | ||
[1] S. Akhter and R. Farooq, Eccentric adjacency index of graphs with a given number of cut edges, Bulletin of the Malaysian Mathematical Sciences Society, 43(3), (2020), 2509-2522. [2] A. Alqesmah, A. Saleh, A. Rangarajan, R. Gunes, and I. N. Cangul, Distance eccentric connectivity index of graphs, Kyungpook Mathematical Journal, 61(1), (2021), 61-74. [3] E. Buzohragul and E. Vumar, Eccentric connectivity index and eccentric distance sum of some graph operations, Transactions on Combinatorics, 2(1), (2013), 103-111. [4] R. Cruz, I. Gutman and J. Rada, Sombor index of chemical graphs, Applied Mathematics and Computation, 399, (2021), 126018. [5] R. Cruz, J. Rada and J. M. Sigarreta, Sombor index of trees with at most three branch vertices, Applied Mathematics and Computation, 409, (2021), 126414. [6] K. C. Das, D. W. Lee and A. Graovac, Some properties of the Zagreb eccentricity indices, Ars Math. Contemp., 6(1), (2013), 117-125. [7] P. Dankelmann, M. J. Morgan, S. Mukwembi and H. C. Swart, On the eccentric connectivity index and Wiener index of a graph, Quaestiones Mathematicae, 37(1), (2014), 39-47. [8] N. De, New bounds for Zagreb eccentricity indices, Open Journal of Discrete Mathematics, 3, (2013), 70-74. [9] R. C. Entringer, D. E. Jackson, and D. A. Snyder, Distance in graphs, Czechoslovak Mathematical Journal, 26(2), (1976), 283-296. [10] C. Espinal, I. Gutman and J. Rada, Elliptic Sombor index of chemical graphs, Communications in Combinatorics and Optimization, (2024), 1-11. [11] R. Farooq, S. Akhter and J. Rada, Total eccentricity index of trees with xed pendent vertices and trees with xed diameter, Japan Journal of Industrial and Applied Mathematics, (2018), 1-23. [12] B. Furtula and I. Gutman, A forgotten topological index, Journal of mathematical chemistry, 53(4), (2015), 1184-1190. [13] M. Ghorbani and M. A. Hosseinzadeh, A new version of Zagreb indices, Filomat, 26(1), (2012), 93-100. [14] I. Gutman, B. Furtula and M. Sinan Oz, Geometric approach to vertexdegreebased topological indicesElliptic Sombor index, theory and application. International Journal of Quantum Chemistry 124(2), (2024), e27346. [15] I. Gutman and N. Trinajstic, Graph theory and molecular orbitals. Total -electron energy of alternant hydrocarbons, Chemical physics letters, 7(4), (1972), 535-538. [16] I. Gutman, Geometric approach to degree-based topological indices: Sombor indices, MATCH Commun. Math. Comput. Chem., 86, (2021), 11-16. [17] I. Gutman, Relating Sombor and Euler indices, Vojnotehnicki glasnik, 72(1), (2024), 1-12. [18] I. Gutman, Eccentric connectivity index of chemical trees, MATCH Commun. Math. Comput. Chem., 65, (2011), 731-744. [19] F. Harary, Graph Theory, Addison-Wesley, Reading Mass, (1969). [20] N. Harish and B. Chaluvararju, Generalized status Harary based indices, The Nepali Math. Sc. Report, 40(1-2), (2023), 43-54. [21] N. Harish and B. Chaluvaraju, Some Inequalities for the Entire Sombor Index, International journal of mathematical combinatorics, 1, (2024), 50-64. [22] V. R. Kulli, Di erent versions of Sombor index of some chemical structures. International Journal of Engineering Sciences and Research Technology, 10(7), (2021), 23-32. [23] V. R. Kulli, Modi ed elliptic Sombor index and its exponential of a graph, International Journal of Mathematics and Computer Research, 12(1), (2024), 3949-3954. [24] V. R. Kulli, Multiplicative elliptic Sombor and multiplicative modi ed elliptic Sombor indices, Annals of Pure and Applied Mathematics, 29(1), (2024), 19-23. [25] V. R. Kulli, N. Harish, B. Chaluvaraju and I. Gutman, Mathematical properties of KG Sombor index, Bulletin of International Mathematical Virtual Institute, 12(2), (2022), 379-386. [26] V. R. Kulli, N. Harish and B. Chaluvaraju, Sombor leap indices of some chemical drugs, Research review International Journal of Multidisciplinary, 7(10), (2022), 158-166. [27] M. J. Morgan, S. Mukwembi and H. C. Swart, On the eccentric connectivity index of a graph, Discrete Mathematics, 311(13), (2011), 1229-1234. [28] S. Pawar, Computing Forgotten Eccentric Topological Index of Complement of Line Graphs, Annals of Pure and Applied Mathematics, 27(1), (2023), 1-6. [29] J. Rada, J. M. Rodriguez and J. M. Sigarreta, General properties on Sombor indices, Discrete Applied Mathematics, 299, (2021), 87-97. [30] J. Rada, J. M. Rodriguez and J. M. Sigarreta, Sombor index and elliptic Sombor index of benzenoid systems, Applied Mathematics and Computation, 475, (2024), 128756. [31] M. C. Shanmukha, A. Usha, V. R. Kulli and K. C. Shilpa, Chemical applicability and curvilinear regression models of vertex-degree-based topological index: Elliptic Sombor index, 124(9), (2024), 1-14. [32] V. Sharma, R. Goswami, and A. K. Madan, Eccentricity connectivity index: a novel highly discriminating topologoical descriptor for structure property and structure activity studies, Journal of chemical information and computer science, 37(2), (1997), 273-282. [33] M. I. Sowaity, M. Pavithra, B. Sharada and A. M. Naji, Eccentric harmonic index of a graph, Arab Journal of Basic and Applied Sciences, 26(1), (2019), 497-501. [34] Z. Tang, Y. Li and H. Deng, Elliptic Sombor index of trees and unicyclic graphs, (2024). [35] R. Todeschini and V. Consonni, Molecular descriptors, Recent Advances in QSAR Studies, (2010), 29-102. [36] D. Vukievi and A. Graovac, Note on the comparison of the rst and second normalized Zagreb eccentricity indices, Acta Chim. Slov., 57, (2010), 524-528. [37] K. Xu, Y. Alizadeh and K. C. Das, On two eccentricity-based topological indices of graphs, Discrete Applied Mathematics, 233, (2017), 240-251. [38] K. Xu, and X. Li, Comparison between two eccentricity-based topological indices of graphs, Croatica Chemica Acta, 89(4), (2016), 499-504. | ||
آمار تعداد مشاهده مقاله: 36 تعداد دریافت فایل اصل مقاله: 88 |