Results 61 to 70 of about 58,584 (207)

New Upper and Lower Bounds for Ramsey Numbers

open access: yesEuropean Journal of Combinatorics, 2001
The Ramsey number \(R(G_1, G_2)\) is the smallest integer \(p\) such that for any graph \(G\) on \(p\) vertices either \(G\) contains the graph \(G_1\) or the complement \(\overline G\) of \(G\) contains the graph \(G_2\). The paper presents some new upper and lower bound formulas for \(R(G_1,G_2)\) and \(R(K_m, K_n)\).
Huang Yi Ru, , Yang Jian Sheng,
openaire   +2 more sources

Optimal bounds for the generalized Euler–Mascheroni constant

open access: yesJournal of Inequalities and Applications, 2018
We provide several sharp upper and lower bounds for the generalized Euler–Mascheroni constant. As consequences, some previous bounds for the Euler–Mascheroni constant are improved.
Ti-Ren Huang   +3 more
doaj   +1 more source

Semidefinite Optimization Providing Guaranteed Bounds on Linear Functionals of Solutions of Linear Integral Equations with Smooth Kernels

open access: yesJournal of Applied Mathematics, 2014
Based on recent progress on moment problems, semidefinite optimization approach is proposed for estimating upper and lower bounds on linear functionals defined on solutions of linear integral equations with smooth kernels.
Guangming Zhou, Chao Deng, Kun Wu
doaj   +1 more source

Some new sharp bounds for the spectral radius of a nonnegative matrix and its application

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we give some new sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix. Using these bounds, we obtain some new and improved bounds for the signless Laplacian spectral radius of a graph or a digraph.
Jun He   +3 more
doaj   +1 more source

Home - About - Disclaimer - Privacy