Products of graphs and Nordhaus-Gaddum type inequalities for eigenvalues
Nastaran Keyvan, Farhad Rahmati
Transactions on Combinatorics · 2018
doi:10.22108/toc.2017.21474 (opens in a new tab)
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Abstract
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.
Abstract licence: CC BY
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