On the full Brouwer's Laplacian spectrum conjecture |
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Institution: | School of Mathematics, East China University of Science and Technology, Shanghai, PR China |
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Abstract: | Let G be a simple connected graph and let be the sum of the first k largest Laplacian eigenvalues of G. It was conjectured by Brouwer in 2006 that holds for . The case was proved by Haemers, Mohammadian and Tayfeh-Rezaie Linear Algebra Appl., 2010]. In this paper, we propose the full Brouwer's Laplacian spectrum conjecture and we prove the conjecture holds for which also confirm the conjecture of Guan et al. in 2014. |
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Keywords: | Laplacian matrix Graph Brouwer's Laplacian spectrum conjecture |
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