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• W3117797615 startingPage "15064" @default.
• W3117797615 abstract "<abstract><p>Let $ A(G) $ and $ D(G) $ be the adjacency matrix and the degree diagonal matrix of a graph $ G $, respectively. For any real number $ alpha in[0, 1] $, Nikiforov defined the $ A_{alpha} $-matrix of a graph $ G $ as $ A_{alpha}(G) = alpha D(G)+(1-alpha)A(G) $. Let $ S_k(A_{alpha}(G)) $ be the sum of the $ k $ largest eigenvalues of $ A_{alpha}(G) $. In this paper, some bounds on $ S_k(A_{alpha}(G)) $ are obtained, which not only extends the results of the sum of the $ k $ largest eigenvalues of the adjacency matrix and signless Laplacian matrix, but it also gives new bounds on graph energy.</p></abstract>" @default.
• W3117797615 created "2021-01-05" @default.
• W3117797615 creator A5025273729 @default.
• W3117797615 creator A5029046068 @default.
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• W3117797615 date "2022-01-01" @default.
• W3117797615 modified "2023-09-26" @default.
• W3117797615 title "On the sum of the largest $ A_{alpha} $-eigenvalues of graphs" @default.
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• W3117797615 doi "https://doi.org/10.3934/math.2022825" @default.
• W3117797615 hasPublicationYear "2022" @default.
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