On the sum of the first two largest signless Laplacian eigenvalues of a graph

DOI10.1016/J.DISC.2024.114035zbMATH Open1541.05119MaRDI QIDQ6553165

Hai-Ying Shan, Zi-Ming Zhou, Changxiang He

Publication date: 11 June 2024

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

signless Laplacian matrixsignless Laplacian eigenvaluessum of signless Laplacian eigenvalues

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Signed and weighted graphs (05C22)

Cites Work

• On the sum of signless Laplacian eigenvalues of a graph
• Upper bounds for the sum of Laplacian eigenvalues of graphs
• A note on the sum of the largest signless Laplacian eigenvalues
• On the extremal values of the second largest \(Q\)-eigenvalue
• Spectra of graphs
• On the sum of Laplacian eigenvalues of graphs
• On a conjecture for the sum of Laplacian eigenvalues
• Constraints on Brouwer's Laplacian spectrum conjecture
• On the sum of the Laplacian eigenvalues of a tree
• On the full Brouwer's Laplacian spectrum conjecture
• Signless Laplacian and normalized Laplacian on the \(H\)-join operation of graphs
• Extremal graphs for the sum of the two largest signless Laplacian eigenvalues
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