Improved results on Brouwer's conjecture for sum of the Laplacian eigenvalues of a graph
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DOI: 10.1016/j.laa.2018.08.003
Abstract: Abstract Let G be a graph with n vertices and m edges, and let S k ( G ) be the sum of the k largest Laplacian eigenvalues of G. It was conjectured by Brouwer… read more here.
Keywords: conjecture sum; laplacian eigenvalues; improved results; brouwer conjecture ... See more keywords
New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations
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DOI: 10.3390/math9192388
Abstract: In this study, a new oscillation criterion for the fourth-order neutral delay differential equation ruxu+puxδu‴α′+quxβϕu=0,u≥u0 is established. By introducing a Riccati substitution, we obtain a new criterion for oscillation without requiring the existence of the… read more here.
Keywords: order neutral; results oscillation; new improved; fourth order ... See more keywords