An improved upper bound for Laplacian graph eigenvalues

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Abstract

Let G=(V,E) be a simple graph on vertex set V={v 1,v 2,⋯,v n}. Further let d i be the degree of v i and N i be the set of neighbors of v i. It is shown that max {d i+d j-|N i∩N j|:1i

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Das, K. C. (2003). An improved upper bound for Laplacian graph eigenvalues. Linear Algebra and Its Applications, 368, 269–278. https://doi.org/10.1016/S0024-3795(02)00687-0

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