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Multiplicative Zagreb indices of trees with given domination number | ||
Communications in Combinatorics and Optimization | ||
مقاله 8، دوره 9، شماره 1، خرداد 2024، صفحه 89-99 اصل مقاله (330.72 K) | ||
نوع مقاله: Short notes | ||
شناسه دیجیتال (DOI): 10.22049/cco.2022.27972.1409 | ||
نویسندگان | ||
Tomas Vetrik* 1؛ Marcel Abas2 | ||
1Department of Mathematics and Applied Mathematics, University of the Free State, Bloemfontein, South Africa | ||
2Faculty of Materials Science and Technology, Slovak University of Technology in Bratislava, Trnava, Slovakia | ||
چکیده | ||
In [On extremal multiplicative Zagreb indices of trees with given domination number, Applied Mathematics and Computation 332 (2018), 338--350] Wang et al. presented bounds on the multiplicative Zagreb indices of trees with given domination number. We fill in the gaps in their proofs of Theorems 3.1 and 3.3 and we correct Theorem 3.3. | ||
کلیدواژهها | ||
Extremal tree؛ Bound؛ Correction | ||
مراجع | ||
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[8] T. Vetrík and S. Balachandran, General multiplicative Zagreb indices of trees, Discrete Appl. Math. 247 (2018), 341–351. https://doi.org/10.1016/j.dam.2018.03.084 [9] S. Wang, C. Wang, and J.B. Liu, On extremal multiplicative Zagreb indices of trees with given domination number, Applied Math. Comput. 332 (2018), 338–350. https://doi.org/10.1016/j.amc.2018.03.058 [10] K. Xu and H. Hua, A unified approach to extremal multiplicative Zagreb indices for trees, unicyclic and bicyclic graphs, MATCH Commun. Math. Comput. Chem. 68 (2012), no. 1, 241–256. | ||
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