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On Sombor coindex of graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 7، دوره 8، شماره 3، آذر 2023، صفحه 513-529 اصل مقاله (412.43 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2022.27751.1343 | ||
| نویسندگان | ||
| Chinglensana Phanjoubam1؛ Sainkupar Marwein Mawiong* 2؛ Ardeline M Buhphang3 | ||
| 1Mathematics Department, North Eastern Hill University Shillong India | ||
| 2Department of Basic Sciences and Social Sciences, North Eastern Hill University, Mawlai Umshing, Shillong, Meghalaya, India Pin code - 793022 | ||
| 3Department of Mathematics, North Eastern Hill University Shillong India | ||
| چکیده | ||
| In this paper, we explore several properties of Sombor coindex of a finite simple graph and we derive a bound for the total Sombor index. We also explore its relations to the Sombor index, the Zagreb coindices, forgotten coindex and other important graph parameters. We further compute the bounds of the Somber coindex of some graph operations and derived explicit formulae of Sombor coindex for some well-known graphs as application. | ||
| کلیدواژهها | ||
| Sombor index؛ Sombor coindex؛ total Sombor index؛ graph operations | ||
| مراجع | ||
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[1] A.R. Ashrafi, T. Došlić, and A. Hamzeh, The Zagreb coindices of graph operations, Discrete Appl. Math. 158 (2010), no. 15, 1571–1578.
[2] M. Azari and F. Falahati-Nezhed, Some results on forgotten topological coindex, Iranian J. Math. Chem. 10 (2019), no. 4, 307–318.
[3] R. Cruz, I. Gutman, and J. Rada, Sombor index of chemical graphs, Appl. Math. Comput. 399 (2021), ID: 126018.
[4] K.C. Das, A.S. Çevik, I.N. Cangul, and Y. Shang, On sombor index, Symmetry 13 (2021), no. 1, ID: 140.
[5] N. De, S. Nayeem, M. Abu, and A. Pal, The F-coindex of some graph operations, Springer Plus 5 (2016), no. 1, Art: 221.
[6] T. Došlić, Vertex-weighted Wiener polynomials for composite graphs, Ars Math. Contemp. 1 (2008), no. 1, 66–80.
[7] S.S. Dragomir, A survey on Cauchy-Bunyakovsky-Schwarz type discrete inequalities, J. Inequal. Pure Appl. Math. 4 (2003), no. 3, Art. 63.
[8] S. Filipovski, Relations between Sombor index and some degree-based topological indices, Iranian J. Math. Chem. 12 (2021), no. 1, 19–26. [9] I. Gutman, Geometric approach to degree-based topological indices: Sombor indices, MATCH Commun. Math. Comput. Chem. 86 (2021), no. 1, 11–16.
[10] I. Gutman, N.K. Gürsoy, A. Gürsoy, and A. Ülker, New bounds on sombor index, Commun. Comb. Optim. (In press).
[11] D.J. Klein, T. Došlić, and D. Bonchev, Vertex-weightings for distance moments and thorny graphs, Discrete Appl. Math. 155 (2007), no. 17, 2294–2302.
[12] X. Li and J. Zheng, A unified approach to the extremal trees for different indices, MATCH Commun. Math. Comput. Chem. 54 (2005), no. 1, 195–208.
[13] I. Milovanović, M. Matejić, E. Milovanović, and R. Khoeilar, A note on the first Zagreb index and coindex of graphs, Commun. Comb. Optim. 6 (2021), no. 1, 41–51.
[14] C. Phanjoubam and S.Mn. Mawiong, On Sombor index and some topological indices, Iranian J. Math. Chem. 12 (2021), no. 4, 209–215.
[15] H.S. Ramane, I. Gutman, K. Bhajantri, and D.V. Kitturmath, Sombor index of some graph transformations, Commun. Comb. Optim. (In press).
[16] I. Redžepović, Chemical applicability of Sombor indices, J. Serb. Chem. Soc. 86 (2021), no. 5, 445–457.
[17] T. Réti, T. Došlić, and A. Ali, On the sombor index of graphs, Contrib. Math. 3 (2021), 11–18.
[18] N.H.A.M. Saidi, M.N. Husin, and N.B. Ismail, Zagreb indices and Zagreb coindices of the line graphs of the subdivision graphs, J. Discrete Math. Sci. Cryptogr. 23 (2020), no. 6, 1253–1267.
[19] Z. Wang, Y. Mao, Y. Li, and B. Furtula, On relations between Sombor and other degree-based indices, J. Appl. Math. Comput. 68 (2022), no. 1, 1–17.
[20] H. Wiener, Structural determination of paraffin boiling points, J. Am. Chem. Soc. 69 (1947), no. 1, 17–20. | ||
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