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- W2887156743 abstract "Let G be a graph with n vertices and m edges, and let Sk(G) be the sum of the k largest Laplacian eigenvalues of G. It was conjectured by Brouwer that Sk(G)≤m+(k+12) holds for 1≤k≤n. In this paper, we present several families of graphs for which Brouwer's conjecture holds, which improve some previously known results. We also establish a new upper bound on Sk(G) for split graphs, which is tight for each k∈{1,2,…,n−1} and turns out to be better than that conjectured by Brouwer." @default.
- W2887156743 created "2018-08-22" @default.
- W2887156743 creator A5058095189 @default.
- W2887156743 date "2018-11-01" @default.
- W2887156743 modified "2023-10-16" @default.
- W2887156743 title "Improved results on Brouwer's conjecture for sum of the Laplacian eigenvalues of a graph" @default.
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- W2887156743 doi "https://doi.org/10.1016/j.laa.2018.08.003" @default.
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