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Products of graphs and Nordhaus-Gaddum type inequalities for eigenvalues | ||
| Transactions on Combinatorics | ||
| مقاله 4، دوره 7، شماره 1، خرداد 2018، صفحه 31-36 اصل مقاله (225.93 K) | ||
| نوع مقاله: Corrigendum | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2017.21474 | ||
| نویسندگان | ||
| Nastaran Keyvan؛ Farhad Rahmati* | ||
| Amirkabir University of Technology | ||
| چکیده | ||
| In this paper, we obtain $\alpha$ as coefficient for the $G=K_{\alpha n} \cup \overline{K_{(1-\alpha)n}}$ and by which we discuss Nikiforov's conjecture for $\lambda_{1}$ and Aouchiche and Hansen's conjecture for $q_1$ in Nordhaus-Gaddum type inequalities. Furthermore, by the properties of the products of graphs we put forward a new approach to find some bounds of Nordhaus-Gaddum type inequalities. | ||
| کلیدواژه‌ها | ||
| Nordhaus-Gaddum inequalities؛ extremal graphs؛ product of graphs | ||
| مراجع | ||
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[11] H. Sayamai, Estimation of Laplacian spectra of direct and strong product graphs, Discrete Appl. Math., 205 (2016) 160–170.
[12] T. Terpai, Proof of a conjecture of V. Nikiforov, Combinatorica, 31 (2011) 739–754. | ||
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