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Exponential second Zagreb index of chemical trees | ||
Transactions on Combinatorics | ||
مقاله 2، دوره 10، شماره 2، شهریور 2021، صفحه 97-106 اصل مقاله (222.89 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22108/toc.2020.125047.1764 | ||
نویسندگان | ||
Selvaraj Balachandran* ؛ Tomas Vetrik | ||
Department of Mathematics and Applied Mathematics, University of the Free State, P. O. Box 339, Bloemfontein, 9300, South Africa | ||
چکیده | ||
Cruz, Monsalve and Rada [Extremal values of vertex-degree-based topological indices of chemical trees, Appl. Math. Comput. 380 (2020) 125281] posed an open problem to find the maximum value of the exponential second Zagreb index for chemical trees of given order. In this paper, we solve the open problem completely. | ||
کلیدواژهها | ||
Topological index؛ degree؛ extremal graph theory | ||
مراجع | ||
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[7] M. Liang, B. Cheng and J. Liu, Solution to the minimum harmonic index of graphs with given minimum degree, Trans. Comb., 7 no. 2 (2018) 25–33. [8] J. Rada, Exponential vertex-degree-based topological indices and discrimination, MATCH Commun. Math. Comput. Chem., 82 no. 1 (2019) 29–41. [9] Ž. K. Vukićević and G. Popivoda, Chemical trees with extreme values of Zagreb indices and coindices, Iran. J. Math. Chem., 5 no. 1 (2014) 19–29. | ||
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